Hardayal Public School Holiday Assignment of ... - Educomp Online

long did the current flow? What mass of copper and of zinc were deposited? Atmasses of Ag, Cu, Zn are 108 u, 63.5 u and 65 u respectively.Chapter – 4 Chemical Kinetics1. Give the units of rate constant of 1st order, 2nd order, 3rd order and nth orderreaction.2. What is a first order reaction? Give two examples.3. Derive expression for the rate constant of the first order reaction. Show that log[A] is a linear function of time.4. How can the plot of log [A] and t be used for the calculation of rate constant forthe first order?5. What would be probable plot of conc. vs. time for zero order reaction?6. What is meant by half life period?7. The rate of a reaction is given by equationRate = k[A]2[B]What are the units of the rate and rate constant for this reaction?8. Explain the following :(i) activation energy (ii) threshold energy(iii) activated complex9. The decomposition of a compound is found to follow a first-order rate law. If ittakes 15 minutes for 20 percent of original material to react, calculate (i) thespecific rate constant, (ii) the time at which 10 percent of the original materialremains unreacted, (iii) the time it takes for the next 20 percent of the reactantleft to react first 15 minutes.10. Find the two-third life, t 2/3 , of a first order reaction in which k = 5.4 × 10 –14 s –1 .Chapter – 5 Surface Chemistry1. What is the effect of temperature on adsorption?2. What is heterocatalysis?3. Give one example of a peptizing agent.4. Write a short note on adsorption. How does it differ from absorption?5. What is adsorption? Write any two features that distinguish physisorption fromchemisorptions.6. On what factors does adsorption of gases on solids depend?7. What are isotherms and isobars? What is the difference between isotherms ofphysisorption and chemisorptions?8. What do you understand by the terms(i) Catalyst (ii) Promoter (iii) Poison.Give one example of each.9. Give two chemical methods for the preparation of colloids.10. Give two physical methods for the preparation of colloids.11. Write brief note on :(i) Coagulation (ii) Gold number (iii) Hardy-Schulze rule12. Explain the following terms :(i) Lyophobic sols (ii) Gold number (iii) Peptisation

Chapter – 6 General Principles and Processes of Isolation of Elements1. What is smelting? 2. What is flux?3. What is slag? 4. What are depressants?5. Give formulae of(i) Iron pyrites (ii) Copper pyrites6. Explain the terms : mineral and ore. Suggest the formula of the followingminerals :(i) Bauxite (ii) Argentite(iii) Copper pyrites (iv) Magnetite7. What do you understand by CALCINATION and ROASTING? When are theynecessary?8. How does NaCN act as a depressant in preventing ZnS from forming the froth?9. Write short note on zone refining.10. Describe the principle of each of the following processes in detail.(i) Mond’s process (ii) Van Arkel method11. Describe extraction of copper from pyrites. How is impure copper purified?12. Name any two ores of aluminium. Describe the extraction of aluminium from themost common ore.Sub : EnglishAssignment – 1(Comprehension and Abstracting)Q.1 Read the following passage carefully1. Loneliness refers to a state of being when one feels sad because of being cut offfrom one’s near and dear ones either physically or psychologically. Loneliness isto be clearly distinguished from solitude as unlike to the latter, it is always an unwelcomefeeling which one is subject to out of some external or innercompulsion. It is beyond one’s control whereas many persons would occasionallyprefer to enjoy solitude, far from the madding crowds.2. Man faces increasing incidence of loneliness because of the fast changing socialand economic conditions of modern times. It is a comparatively recentphenomenon. Close knit primitive groups eking out a precarious existence byhunting wild animal or eating wild fruits would not experience loneliness as theywould always engage collectively in life supporting activities. Later settledagricultural communities were land-based and had little occasion for feelinglonely as the individuals had strong ties with their families and villagecommunities. hey were alone neither in their joys nor in their sorrows as both theconditions brought them together for intensifying the joys and reducing thesorrow by sharing.3. It is only in industrial societies that loneliness has emerged as a growingphenomenon. A job-seeker has to leave his village and occasionally family toseek livelihood in some factory in a town or in some construction activity awayfrom his home. He is cut off from his familiar environment and has to start his lifein a new place. He may not find any friend or relation with whom he can talk orshare his problems.

4. Circumstances apart, there are certain individuals who, because of theirintroverted nature cannot come out of their shells and interact with theircolleagues, neighbours or classmates. They do not take initiatives to makeadvances towards them. They build up reputation for being cold and indifferent toothers. So much so that others stop approaching them. Even in time of need,such introverted people cannot make requests to others to help them and thussuffer privation all alone.5. Some people are so much preoccupied with their high opinion of themselves thatthey consider it beneath their dignity to make even formal acquaintance with theirneighbours. They remain absorbed in their own thoughts even when they are notactually engaged in some work. But they forget that they are also social beingsand need others approval for maintaining self-esteem or positive image ofthemselves.6. In modern society, most people work in organizations and occupy a certainposition in the organisational hierarchy. Those at the top position of theirorganization tend to consider themselves top even among their relations andneighbours. They cannot shake off their rank even in non-organisationalenvironment. Whenever they interact with others, they are condescending andpatronishing. Others naturally resent this behaviour as they may also beoccupying significant or important positions in their organizations.7. Loneliness may often grow out of some psychological compulsions. A personmay suffer from an inferiority complex that he is unwanted or unloved. He willnaturally avoid routine contact with others for fear of being repulsed or rebuffed.He will feel secure only when he is alone. But this security is at a great cost. He,who cannot enjoy company, cannot enjoy real happiness which consists mostlyin interaction with others or in getting appreciation or approval from others.8. Just as a person who has seen death from close quarters finds the true meaningof life, similarly a person who has undergone the experience of loneliness for asubstanitial time keenly feels the joy social interaction. Such a person realizesthe true dimension of security and relaxation, one experiences in the company ofone’s family member or dear friends. Experience of loneliness strengthens thesocial ties and converts even loners into sociable beings.(Discursive)a. On the basis of your reading the passage answer the following questions briefly :(i) What is the difference between loneliness and solitude?(ii) Why does man in modern times feel loneliness?(iii) How is loneliness a growing phenomenon in industrial societies?(iv) How are introverted people mostly the victims of loneliness?(v) What constitutes real happiness?b. Find out words and phrases from the passage which have the followingmeanings:

(i) uncertain (para 2) (ii) person interested in his own thoughts(para 4)(iii) doing something that one regards as undignified (para 6)Q.2 Read the following passage and answer the questions that follow it :1. In all these ways the parish, if not a true village, seemed quite a country placetwenty years ago, and its people were country people. Yet there was anotherside to the picture. The charm of it was a generalised one – I think an impersonalone; for with the thought of individual persons who might illustrate it there comestoo often into my memory a touch of sordidness, if not in one connection then inanother; so that I suspect myself, not for the first time, of sentimentality. Was asocial atmosphere after all anything but a creation of my own dreams? Was thevillage life really idyllic?2. Not for a moment can I pretend that it was. Patience and industry dignified it; acertain rough jollity, a large amount of good temper and natural kindness, kept itfrom being foul; but of the namby-pamby or soft-headed sentiment which manywriters have persuaded us to attribute to old English cottage life I think I have notin twenty years met with a single trace. In fact, there are no people so likely tomake ridicule or that sort of thing as my laboring class neighbours have alwaysbeen. They do not, like the middle classes, enjoy it. It is a commodity for whichthey have no use, as may appear in the following pages.3. To say this, however, is to say too little. I do not mean that the prevailing temperin the village was sordid, bitter, cruel, like that, say, of the Norman peasantry inde Maupassant’s short stories. By far the great majority of the people haveunusually seemed to me at the worst a little suspicious, a little callous, a littleundemonstrative, and at the best generous and happy-go-lucky to a fault.Nevertheless, tales as repulsive as any that the French writer has told of hiscountry people could have been collected here by any one with a taste for thatsort of thing. Circumstantial narratives have reached me of savage, or, say,brutish doings : of sons ill-treating their mothers, and husbands their wives; offights, and cruelties and sometimes – not often – of infamous vice. The likelihoodof these tales, which there was no reason to doubt, was strengthened by what Isaw and heard for myself. Drunkenness corrupted and disgraced the village life.So that good men went wrong and their families suffered miserably. I havehelped more than one drunkard home at night, and seen a wretched woman or afrightened child come to the door to receive him. Even in the seclusion of my owngarden I could not escape the evidences of mischief going on. For sounds echoup and down the valley as clearly as across the water of a lake; and sometimes aquiet evening would grow suddenly horrid with distracted noises of family quarrelin some distant cottage, when women shrilled and clamoured and men cursed,and all the dogs in the parish feel a-barking furiously.(Literary)

a. Answer the following questions briefly :(i) If village as a whole offered a charming picture which thought didindividual villagers convey to the writer’s mind?(ii) What had saved the village life from becoming foul?(iii) What is it that the writer could not find in village life?(iv) What did a majority of people happen to be?(v) What an overall picture of village life is portrayed in this passage?b. Find out words and phrases from the passage which have the followingmeanings:(i) dirty and unpleasant (para 1) (ii) cruelly insensitive (para 3)(iii) frightful (para 3)Assignment – 2 (Note-Making and Making Abstracts)Q.1 Read the following passage carefullyConsumerism has emerged as the dominant ideology of mankind at the turn ofthe Twentieth Century. Even the socialist countries which had been criticizing thewest stridently for its growing consumerism have been skillfully converted toconsumerism by the irresistible forces of advertisement unleashed by SatelliteTelevision.We find the pervasive influence of advertisement in our daily life. Advertisementcontrols our life from morning to evening. It dictates the brand of tea with whichwe begin our day and the brand of laxative we take before going to bed at night.We have developed a liking for a particular newspaper over the years. We havebeen told that the paper has the largest combined sale in the country or ispublished from the largest number of places. And this paper gives us admittanceinto a whole wideworld of advertisements at the beginning of the paper gives usadmittance into a whole wideworld of advertisements at the beginning of the day,While the man decides the exclusive brand of shirt he is to wear during theforthcoming annual review of performance by the top boss of the company from arange of readymade shirts advertised in the paper, the housewife makes up hermind to go to the “Fabulous Sarees” splashed in newspaper, posters andpamphlets doing the rounds in the town. The teenage daughter insists onwearing th jeans worn by her favourite filmstar shown in the Filmfare. The `onlyson’ in the family is determined to make the life of parents a hell if `Little MasterVideo-Games’ highly praised in the T.V. advertisement is not brought for himimmediately.Coaching schools have build up a roaring business, thanks to advertisements oftheir courses and success stories (true or false?) in the newspapers, magazinesand the Television. Many reluctant scholars have been enthused to part withhard-earned money to test their luck in competitions where success rate rangesfrom 1% to 2% at the most. For every success there are more than 98 failures.

But this fact does not deter the sellers of dreams from indulging in shrilleradvertisements. Nor does it inhibit the day-dreamers to pour in more and moremoney into the most uncertain ventures of competition. Indeed, how many youngmen and women can resist the temptation of becoming I.A.S. Officers, doctors orengineers at the cost of only a couple of thousands rupees?U.S.A. spends more money on advertisements than Gross Domestic Product ofBangladesh. Some of the best brains of every country are engaged in thebusiness of advertisements. Naturally, advertisements have become more andmore sophisticated, subtle and impressive. The aid of beauty-queen, film-starsand sport-idols is obtained by manufacturers and advertisers to sell soaps andcosmetics, drinks and energy foods, shirts and sarees, ornaments and motorbike.Who can resist the combined power of superstars and the products theyadvertise? Considering the resources and skills of advertisers, it seems certainthat advertisements will continue to manipulate our minds and control our life fora long time to come.(Discursive)a. On the basis of your reading of the passage make notes in points only usingabbreviations whereas necessary.b. Write the summary of the above passage in 80 words. Also supply a suitable title.Q.2 Read the following passage carefullyTeenage is the period of twilight between childhood and youth. So far as physicalappearances are concerned, the period of childhood is receding and the youth isapproaching. Psychologically, however, it is a great mess. Many of thetendencies and behavior patterns of the childhood persist and createembarrassment for the teenager as well as for his parents. He appears a grownup to the outsiders, but many a time, he clings to his mother or father for supportand fortifies his arguments with “my father says” or “my mother tells” whichprovokes an amused and at times a sarcastic response from the outsiders.Teenage is the time when a personality is struggling to be born. This is, however,a peculiar struggle. It is not against the enemies or the outside world alone. It isan internal, a psychological struggle against as part of one’s self. It is alos, attime, a struggle against one’s mother or father as also against those near anddear ones whom one has been used to take for granted for unconditionalsupport.After the initial turbulence of early childhood and constant conflicts of middlechildhood one becomes a good child regularly going to school and adopting apattern of behavior approved by one’s parents. The school reports of a promisingand well-behaved student has given a sense of relief and joy to the parents. Onehas grown accustomed to the patronising way the relations treat him and does alllittle things he is asked to do by elders. At what point of time, puberty steps intoone’s life one does not know. But with its onset, almost every thing parents,sibling, peers, strangers provide gets transformed never to be the same again.

Unreserved awe and respect for the parents are the first casualty ofadolescence. When the adolescent sees his businessman father makingextortions from his client or cheating the Income Tax authorities, he is shocked.His father has been exhorting him since his early childhood that one should befair to the fellow-citizens and abide by the law of one country. The hypocrisy ofelders, mainly his own parents, shatters his belief in the goodness of the world.When the phone bell rings at lunch time, the adolescent is told by his father to tellthe caller that the father is not at home. The value of speaking the truth no longerremains an article of faith with the child. An adolescent has to interact with hisneighbours school-mates, teachers and grocer unaided by the presence of hispartners as has been the case in his childhood, and he finds the selfish attitudesand behavior pattern of adults baffling and disturbing. He learns to his greatconsternation that he cannot take the world for granted (as he has been doing asa child), not even his own brothers and sisters.Teenage is the period of baffling uncertainties and glaring inconsistencies. Attime, an adolescent idolises his father for all the love and comforts he hasprovided him even at the adolescent idolizes his father for all the love andcomforts he has provided him even at the cost of great personal inconvenience.His father cancelled a pleasure trip to nurse him when he was sick. He rejectedan attractive job offer to remain in the town so that his child could continue tostudy in the prestigious school he had joined since his studies began. He hasgreat love and admiration for his father. But he becomes resentful of his father’sattitude when he does not agree to pay Rs. 5000/- for a trip to Lakshadweepalong with his school mates.(Discursive)a. On the basis of your reading of the passage make notes in points only usingabbreviations whereas necessary.b. Write the summary of the above passage in 80 words. Also supply a suitable title.Assignment 3 (Advertisement & Notices)Q.1. a. You are Ranjeet / Rekha of 751 Greater Kailash, New Delhi. You want tosell the first floor of your newly constructed house. Draft an advertisementin not more than 50 words for publication in `The Indian Express’ underthe classified column marked `Property’. Include all relevant details.b. You are a computer engineer well versed in Hardware and softwaretechniques. Prepare a suitable advertisement in not more than 50 wordsfor the `Situation Wanted’ column offering your services on part timebasis.c. You have lost your brief case while travelling in the local bus. Draft anadvertisement suitable to be inserted in the local daily. Invent otherdetails. Word Limit – 50.

d. Write an appeal inviting suitable donors to offer one kidney to save the lifeof a young man whose kidneys are badly damaged. Appeal to bepublished in a newspaper.e. You are Sunil / Simi of 243-B, Kalkaji, New Delhi. You want to sell your carand other household goods as you are go.Q.2. a. You are Amit / Amita, the Head boy / Head girl of your school. You haveinvite Ms. Renu Nigam, an eminent Counsellor, to deliver a talk on variouscareer options available to the students of the humanities streams. Givingall the information in not more than 50 words, draft a notice to bedisplayed on your school notice board.b. You are Manav/Manasi, as the student’s Representative on the SchoolDevelopment Committee. The Committee is going to meet next week toprepare a calendar of Activities for the school for the year 2009-10. Invitestudents’ suggestions on this subject. Write a notice on this regard in notmore than 50 words to be put up on your school notice board.c. You are Secretary of Resident Welfare Association, Pragati Apartment,Prashant Vihar, Delhi. Draft a notice to be displayed in the Associationnotice board informing the residents about `Summer Camp’ holdingdifferent activities to be organised by the association for children of 5 yrs.to 14 years of age. Word Limit – 50.d. A the Headboy / Headgirl of your school you are organising a CareerCounseling Session for XI and XII std students of your school. Write anotice giving details of it to be displayed on your school notice board.Assignment 4 (Poster)Q.1. a. Design a poster to increase awareness among the youth about `blindness’and `the importance of donating eyes.’b. As the Secretary of the Environment Club, design a poster to createawareness against plastic which pollute the environment. Word Limit – 50c. As the Cultural Secretary of Salwan Public School, Gurgaon design aposter to announce the staging of a play in your school.d. Design a poster to launch `Tree Plantation Campaign’ in the areasurrounding your school. Word limit – 50e. Water is precious and each one of us must stop wastage. Prepare aposter in not more than 50 words urging people to employ variousmethods of rain water harvesting in their colonies.f. Design a poster highlighting the cruelty to Animals and creating love andsympathy on public mind for them.Assignment – 5 (Formal & Informal Invitations & Replies)Q.1. a. Send a formal invitation to Mr. K.B. Vaid noted novelist and educationist tospeak on`The Importance of Devotion, Dedication and Discipline’ in valueEducation Club of your School. Word Limit – 50.

. Aditi has secured admission in IIFT a career she dreamt of. She wants tocelebrate the occasion by offering a treat to her friends. Write out aninformal invitation giving details of venue, time and date.c. You are the Secretary of the Sports Club of T.K. Sr. Sec. School, AshokVihar, New Delhi. Invite the famous cricketer Kapil Dev to inaugurate thenew Cricket Stadium constructed by the school.d. You are V.K. Dutt of Bangalore. Draft a reply expressing your inability toattend the birthday party of your friend Somesh.e. You are Akshay / Akriti. You have been invited to participte in a seminaron `Fundamental Rights of Children’ organized by the Lions Club of yourdistrict. Respond to the invitation by writing a letter to the Secretary of theClub accepting the invitation.Assignment – 6 (Report, Factual Description)Q.1 Recently you attended a Career Fair organized by the Australian HighCommission in which various Australian Colleges and Universities participatedand gave information about their undergraduate and graduate programmes. Youattended this fair. Write a detailed account of the fair in 125 words. You areReshama / Hamid.Q.2 `Each one plant one’ Campaign was organised by you to celebrate VanmahotsavDay on 10 th November. As a secretary of your school, Army Public School,Dhaula Kuan, New Delhi, write a report in 100-125 words for your schoolmagazine. You are Ankit / Ankita.Q.3 You are Bhuvan / Manasi. As a special correspondent of a leading local daily,you are sent to cover a fund raising programme organized by a non-governmentorganization in the city to provide modern equipments and facilities for your towncancer institute. Write a report in about 125 words for publication in a local Delhi.Q.4 Describe the process of How to prepare for the Examination.Q.5 Write a factual description of the multi-storeyed shopping mall in your locality in100-125 words. Include details of layout special facilities like ATM, restaurants,escalators etc.Assignment 7 (Letter writing & Article writing)Q.1. a. You are Sunil / Sunita staying at 20-B, Gandhi Road, Bangalore. You havecome across an advertisement in `The Hindu’ for recruitment ofmanagement trainers in a bank. Apply for the same giving your detailedbio-data.b. Write a letter to the Editor, Amar Ujala, Agra City Edition suggesting howbest the historical monuments could be saved from gradual decay. Youare Mamta Kulkarni of 10 C, K.G. Marg, Delhi.c. You are Manoj / Maneesha. Write an article in 200 words on the following :`Value education should be made a part of the curriculum in the schools.Highlight the steps taken by your school in this direction.

d. You are ABC of class XII. Write an article in 200 words for your schoolmagazine on `Aping of the Western Culture by the younger Generation’.Word limit – 200e. `Are we happier than our ancestors?’ Write an article in 200 words. Youare John / Jane.Assignment – 8 (L – 1, Poem 1 (R), L – 1 (S))Short Qs. : The Last Lesson, My Mother – Poem, The Third Level1. Why did the narrator dread of going to school that morning?2. What was so much tempting that morning and what did the narrator decide todo?3. What was displayed on the bulletin board that had a crowd in its front? When didthe narrator come to know of it?4. What change did Franz notice that was unusual about the school that day?5. How did Franz feeling about M Hamel and school change?6. `But the thing that surprised me most was to see ------‘ What did Franz see thatsurprised him then?7. How did Hamel pay a kind of tribute to French Language?Long Qs1. Describe the last lesson given by Hamel to his class.2. When did Franz undergo a change of heart and begin to see things in rightperspective?Poem 11. `The poet realised with pain’ what did she realize then?2. Why has the poet brought in the image of the merry children spilling out of theirhomes?3. Why has the mother been compared to late winter’s moon?4. What do the parting words of the poet and her smile signify?5. The poet felt that `old familiar ache’. What is that ache?Short Qs (S)1. What does the narrator think of Grand Central?2. What strange things did the narrator see when he reached the third level ofGrand Central?3. What did he see that proved that it was the period of eighteen ninety something?4. Where did the narrator want to go and why?5. What was the first day cover envelop all about that the narrator found among hisoldest first day covers?Long1. Do you think the third level was a medium of escape for Charley? Why?2. What do you infer from Saini’s letter to Charley?3. `The modern world is full of insecurity, fear, war and stress.’ What are the waysin which we attempt to overcome them?

Assignment – 9 (L – 2, Poem 2 (R), L – 2 (S))1. Who is Saheb? Why did he leave his have long ago?2. Where does Saheb work for now? Is he happy?3. In what conditions do the residents of Seemapuri live their lives?4. How is Mukesh’s attitude to his situation different from that of his family?5. Mention the hazards of working in the glass bangles industry.6. What forces, according to the author conspire to keep the workers in bangleindustry of Firozabad in poverty?7. What is so pitiable about Savita, a young girl bangle maker, and the elderlywoman sitting by her side?Long Qs1. What does the author want to say through Saheb as the representative of ragpicking children? How do such children lead their lives?2. What do you think can really uplift the youngmen of Firozabad engaged in banglemaking from their present conditions?Poem1. How does the poet describe the `the tall girl’ and the paper seeming boy?2. How are the `windows’ of these children `not his world’ for them?3. What for does the poet ask those in authority to do for the betterment of thesechildren?4. How is the future of these children `painting with a fog’?5. Why does the poet mean in `Shakespeare’ is wicked and the map is a badexample?Sub : Math1. Construct a 2 × 3 matrix whose elements are given by⎧ 4 + j,i > j⎪1(i) a ij = ⎨ i − j,i = j(ii) a ij= 2i− 3 j⎪2⎩2i+ j,i < j⎡−3 2 1⎤2. Find the matrices X and Y such that X – 2Y = ⎢ ⎥ and 2X + Y =⎣ 1 −12 ⎦⎡44 7⎤⎢ ⎥⎣73 4⎦⎡91 ⎤3. Determine a matrix `X’ such that 5A + 3B + 2X = 0 where A = ⎢ ⎥ and B =⎣78 ⎦⎡15 ⎤⎢ ⎥⎣712 ⎦4. Find x and y such that A 2 ⎡ 2 3 ⎤ ⎡10 ⎤= XA + YI where A = ⎢ ⎥ and I =⎣12⎢ ⎥ ⎦ ⎣01 ⎦

5.⎡32 0⎤If, A =⎢ ⎥⎢1 4 0⎥⎢⎣0 0 5⎥⎦then verify that A 2 – 7a + 10I = 0 and hence find A -1⎡ 2 3 ⎤ ⎡10 −1⎤6. Verify that (AB)’ = B’A’ where (i) A = ⎢ ⎥ , B =⎣ 4 1⎢ ⎥ ⎦ ⎣21 3 ⎦(ii) B = [ − 2 −1− 4], A’ = [ − 1 2 3]7.⎡5− 2⎤If A = ⎢ ⎥ then verify A. (Adj A) = (Adj A).A = ⏐A ⏐I.⎣3− 2 ⎦8. If points A(3, –2); B(x, 2) and C(8, 8) are collinear, find the value of x usingdeterminants.9. Using elementary row transformation find the inverse of the following :a.⎡22 1 ⎤⎡ 3 1 ⎤⎡11 ⎤⎢ ⎥ b.⎣ 2 5⎢ ⎥ c.⎢ ⎥⎦ ⎣52⎢2 1 2⎥⎦⎢⎣1 2 2⎥⎦10.⎡ 1 tan x⎤If A = ⎢⎥ show that A’A -1 ⎡Cos2x− Sin 2x⎤=⎣− tan x 1⎢⎥ ⎦ ⎣ Sin 2xCos 2x⎦11. Find inverse of matrix diog. {a b c}12.⎡ab ⎤Find the inverse of ⎢ 1 + bc ⎥ and verify that aA⎢c= (a 2 + bc + 1)I – aA⎣ a ⎥⎦13.⎛ 8 − 6 2 ⎞⎜⎟Find the value of λ if ⎜ − 6 7 − 4 ⎟⎜⎟⎝ 2 − 4 λ ⎠is a singular matrix.14.⎡1+ 2n− 4n⎤⎡3− 4⎤Prove by mathematical induction that A = ⎢⎥ where A =⎣ n 1−2n⎢ ⎥ ⎦ ⎣1− 1 ⎦15. Find p and q such that (pI + qA) 2 ⎡01= A where A = ⎢⎣ An : p = q = ±− 1316. Points (a 1 , b 1 ); (a 2 , b 2 ); (a 1 , –a 2 , b 1 , –b 2 ) are collinear prove that a 1 b 2 = a 2 b 117.⎡ 2 − 1 − 1⎤A =⎢⎥⎢− 1 2 − 1⎥verify that A 3 – 6A 2 + 9A – 4I = 0 and hence find A -1⎢⎣1 − 1 2 ⎥⎦18.⎡2− 3⎤A = ⎢ ⎥ verify that (Adj A) -1 = adj (A -1 )⎣46 ⎦19.⎡02 y + z ⎤find x, y, z if matrix A =⎢⎥⎢x 6 − z⎥obeys the law A’A = I.⎢⎣x − y z ⎥⎦20. Solve the following equations by inverse method:

(i)2 x − y = 1x + 3 z= 11x + 2 y + z =Ans : 2 , 1, 37(ii)x − 2 y = 102 x + y + 3 z= 8− 2 y + z = 7Ans : 4 , − 3, 1(iii)x +y +z +y = 5z = 3x = 4Ans : 3, 2 ,121.⎡01 2⎤A =⎢ ⎥⎢1 2 3⎥⎢⎣3 1 1 ⎥⎦find A -1 Hence solve the equations y + 2z = 4, x + 2y + 3z = 6,3x + y + z = 4 by using A -1 (Ans: 1, –2, 3)22.⎡11 2 ⎤A =⎢⎥⎢0 2 − 3⎥⎢⎣3 1 1 ⎥⎦find A -1 and hence solve x + 3z = 10; x + 2y – 2z = –7, 2x – 3y + 4z= 1723.⎡−5 1 3 ⎤ ⎡11 2⎤Find the product of A =⎢⎥⎢7 1 − 5⎥B =⎢ ⎥⎢3 2 1⎥and using AB solve the⎢⎣1 − 1 1 ⎥⎦⎢⎣2 1 3⎥⎦equations x + y + 2z = 1, 3x + 2y + z = 7 and 2x + y + 3z = 2a + x a − x a − x24. Solve for x : (i) a − x a + x a − x = 0 (ii)a − x a − x a + xx + a b ca x + b c = 0a b x + c25. Using properties of determinants evaluate or prove the following:x + y x x2 2b c bc b + c(i)(iii)5 x + 4 y 4 x 2 x = x10 x 8 y 8 x 3 xay + z x yz + x z x3= ( x + y + z )( z − x )22 2(ii) c a ca c + a = 02b2log aab q + bp 1(iv) log b q 1 = 0 wherex + y y zlog c r 1a, b, c ore p th , q th and r th term of a G.P.1 x + y2x +2y(v) 1 y + z2y +2z = ( x − y )( y − z )( z − x )1 z + x z2+ x2

(i)⎡ 1 3 5⎤⎡−3 2 1⎤⎡3− 4⎤⎢ ⎥ (ii)⎢⎥⎣1− 1⎢− 6 8 3⎥(iii)⎢⎥⎢0 − 1 1⎥⎦⎢⎣− 4 6 5⎥⎦⎢⎣2 − 2 1⎥⎦31. Show that the following functions are continuous at the indicated points :(i)⎧ 2 x x < 2⎪⎧ Sin x⎪ , x < 0f(x) = ⎨ 4 x = 2 (ii) f(x) = ⎨ x⎪ 2⎩ x x ≥ 2⎪⎩ x + 1, x ≠ 0at x = 0(iii)⎧⎛ 1 ⎞⎪ ( x − a ) Sin≠f(x) =⎜ ⎟ x 3⎨⎝ x − a ⎠⎪⎩ 0x = aat x = 3(iv)2⎧ x − x − 6⎪x ≠ 32f(x) = ⎨x − 2 x − 3⎪5x = 3⎩ 4at x = 332.⎧ 1 x ≤ 3⎪Find a and b if f(x) = ⎨ ax + b 3 < x < 5⎪⎩ 7 x ≥ 5is continuous at x = 3, 5? (Ans : a = 3, b =–8)33.⎧1− Cos 4 x⎪, x ≠ 0Find the value of `K’ if f(x) =2⎨ 8 x⎪⎩ K x = 0is continuous at x = 0 (Ans: K = 1)34. Show that f(x) = x – ⏐x⏐ is cont. at x = 035.⎧ x − 4⎪ , x ≠ 4Find a and b if f(x) = ⎨ x − 4⎪⎩ a + b x = 4is continuous at x = 4? (Ans : a = 1, b = –1)36. Differentiate the following w.r.to xa. log⎧ ⎛ π x ⎞ ⎫⎡⎤2 −11 + x⎨ tan ⎜ + ⎟ ⎬b. Sin ⎢Cot⎥⎩ ⎝ 4 2 ⎠ ⎭⎣ 1 − x ⎦c.e.g.⎛⎜⎝1xLogx+ x2tan5⎞⎟⎠x+ ex + 20− 1i. Sin -1 2⎛ 1 − x⎟ ⎞⎜2⎝ 1 + x ⎠x2d. Cosec (3x + x 3 )f. a + a + xh. log Sin(e x + 5x + 6)j. tan -1 3⎛ 3 x − x⎟ ⎞⎜2⎝ 1 + 3 x ⎠

⎛ ⎞k. tan -1 ⎜ x ⎟−1⎛ 1⎟ ⎞+ Sec ⎜⎜2 ⎟2⎝ 1 − x ⎠ ⎝ 1 − x ⎠dy37. Find in each case :dxl. Sin ( )-1 22 x 1 − x(i)22 at b (1 − t )x = , y =221 + t 1 + t(ii) x = 3Cos φ – Cos 3 φ, y = 3 Sin φ – Sin 3 φ(iii) x = a(Cos φ + φ Sin φ) y = a(Sin φ – Cos φ)(iv) x = e t (Cos t + Sin t), y = e t (Cos t – Sin t)(v) xy log (x + y) = 1 (vi) 2 x + 2 y = 2 x + y(vii) x 3 + y 3 = Sin(x + y) (viii) log2 2−1⎛ y ⎞x + y = tan ⎜ ⎟⎝ x ⎠(ix) Sin ( xy ) +x 2= x −yy (x) tan (x + y) + tan (x – y) = 1(xi) Log Sin x + Cos (xy) + e xy = 0 (xii) y x = x y(xiii) y x + x y + x x + y y = a b (xiv) y =Sin xCos x(xv) ( Cot x ) + x ) = y(xvii)(xix)Sin x Sin 2 x.Sin 3 xxxx2xCos x x − 1(tan (xvi) x + = y2x + 1x. (xviii) ( x ) = y2334( 2 x − 1) .( x − 5)yxy =.( xx )( Cos x ) = ( Cos y )112 23( x − 1) (3 x + 1)38. (i) Differentiate log (1 + x 2 ) w.r. to tan -1 x(ii)− ⎛ Cos x⎟ ⎞tan 1 ⎜ w.r. to Sec -1 x⎝ 1 + Sin x ⎠(iii)2Cos −1⎛ 1 − x⎟ ⎞⎜2⎝ 1 + xw.r. to −1⎛ 2 x⎠⎟ ⎞tan⎜2⎝ 1 − x ⎠−12(iv) Sin ( 4 x 1 − 4 x )− 13(v) Sin ( 3 x − 4 x )(vi)tan1 + tan− 1W.r.tw.r. toxw.r. to tan − 1−1xtanx1 − 4 x−1⎛⎜⎜⎝2x1 − x2⎞⎟⎟⎠xdy39. Find if : dx

−12(i) y = Sin ( x 1 − x − x 1 − x )− 1−1(ii)⎡2222y = tan ( 1 + x + 1 − x )( 1 + x + 1 − x )⎤⎥⎦(iii)y=tan−1⎢⎣⎛⎜⎝ 1 +x1 − x2⎞⎟+ Sin⎠−1⎛⎜2 tan⎝(iv) y = Sin x + Sin x + Sin x + ..........−111−+xx⎞⎟⎠(v)y=xx......... ∞x.40. x p y q = (x + y) p+q prove that41. If x y = e x-y prove thatdydx=dy =dxlogyxx( 1 + log x ) 2222dy 1 − y42. If 1 − x + 1 − y = a ( x − y ) prove that =2dx 1 − x43. If y = Sin (m Sin -1 22 d y dy 2x) prove that (1 − x ) − x + m y = 02dx dx44. x + y = e x – y 2d y 4 ( x + y )prove that =dx2x + y + 145.46.x( ) 3⎛ x ⎞y = log ⎜ ⎟ show that x 3 y 2 = (xy 1 – y) 2⎝ a + bx ⎠− 1− 1xSin x2 dy Sin xy = + log 1 − x then =21 − xdx21 − x47. x = a Cos 3 φ, y = a Sin 3 2d yφ find2dx( ) 2 32 22 248. y = ( x + x + a ) prove that ( x + a ) y + xy = 0log2 12− 12 2249. y = ( x ) then show that (1 + x ) y + 2 x (1 + x ) y = 2tan212x 2 2 a2 2dy50. y = x − a − log( x + x − a ) then show that =22dx51. y = Ae mx + Be nx then y 2 – (m + n)y 1 + mny = 02 ⎛ a b x ⎞−1−dy 152. y =tan ⎜⎟tan show that =2 2a ba b− ⎝ + 2 ⎠dx a + bCos x2d y53. x = φ Sin φ + Cos φ, y = Sin φ – φ Cos φ then show that = Sec3 φ2dx54. y = a Sin x + b Cos x prove that22 ⎛ ⎞ 2y + = a +⎜⎝dydx⎟⎠b2x2−a2

55. A stone is dropped in a quite lake waves move in a circle at a speed of 3.5cm/s.How fast is the enclosed area increasing when the radius of wave is 7.5cm?Ans : 165cm 2 /s56. The radius of a cylinder is increasing at 2cm/s and its height is decreasing at3cm/s. Find the rate of change of volume when radius = 3cm and height = 5cm.Ans : 33 π57. A conical vessel 10m high is filled with water at a uniform rate of 1.5cm 3 /s. If theradius of base is 5m.58. Water is running into a conical vessel 12cm deep and 4cm is radius at the rate of0.2 cm 3 /s. When the water is 6cm deep. Find at what rate water level is rising (ii)S.A. of water increasing:Ans:1 1,20 π 1559. At what points on the ellipse 16x 2 + 9y 2 = 400 does the ordinate change at thesame rate at which the abscissa increase.Ans:⎛ 16 ⎞ ⎛ − 16 ⎞⎜ 3 , ⎟;⎜ − 3, ⎟⎝ 3 ⎠ ⎝ 3 ⎠60. A man of height 180cm is moving away from a lamp post at the rate of 1.2m/s. Ifthe height of lamp post is 4.5 find the rate at which his shadow lengthening?(Ans : 0.8m/s)61.4A particle moves along a curve y = x2 + 5 . Find the points on the curve at3which y-cordinate change twice as fast as abscissa.Ans:⎛ 5 ⎞ ⎛ 1 ⎞⎜1, ⎟;⎜ − 1, ⎟⎝ 3 ⎠ ⎝ 3 ⎠62. Using differentiate find the approximate value of the following:(i) 49 . 5 (ii) 401 (iii) 0 . 037 (iv) p 4 – 620 = 0find p(v)30 . 007 (vi) 0 . 48 (vii) 26 (viii) 37 (ix)0 .082Ans : (i) 7.04 (ii) 20.025 (iii) 0.1925 (iv) 4.99 (v)0.192(vi) 0.693 (vii) 5.1 (viii) 6.083 (ix) 0.28763. Find the equation of tangent and normal to the curve x = Cos t, y = Sin t at t =π4Ans : x + y – 2 = 0, x – y= 064. Find the equation of tangent to the curve x + y2 2= a ⎛ a a⎟ ⎞⎜ ,⎝ 4 4 ⎠Ans : 2x + 2y= a 2

1 x2 which are nearest to the point (0, 5). Ans: (79. Find a point on the curve y =4± 2 3 , 3)80. Prove that the area of right triangle of given hypotenuse is maximum when it isisosceles.81. Find the radius of a closed circular cylinder of volume 100cm 3 which hasminimum surface area.82. An open box with a square base is made out a given quantity of cardboard areaa 2 3. Show that the maximum volume of the box is a / 6 383. Find the volume of largest cylinder that can be inscribed in a sphere of radius r.Ans :34πr / 3 384. A window is in the form a rectangle surmounted by a semi-circular opening. Theperimeter of window is 10m. Find the dimensions of the window to admitmaximum light through whole opening. Ans :L = 1.4m, B = 2.8m85.1 1 1The combined resistance of two resistors R 1 and R 2 is given by = +R R1R2If R 1 +R 2 = C Find R 1 and R 2 so that R is max. Ans : R1 =CR2 = 286. For a given surface of a right circular cone when the volume is maximum has the−1⎛ 1 ⎞semi-vertical angle is Sin ⎜ ⎟⎝ 3 ⎠87. Verify Rolle’s Theorem for the following:2⎡ π 3π⎤(i) f(x) = x − 6 x + 5 on [1, 5] (ii) f(x) = Sin x⎢,⎣ 4 4 ⎥⎦2(iii) f(x) = 4 − x , [ − 2, 2 ] (iv) f(x) = Sin 2x – 2 Sin x at [0, π]88. Verify mean value theorem:⎡ 1 ⎤1(i) f(x) = x(x – 1) (x – 2) in⎢0 ,⎣ 2 ⎥(ii) f(x) = x + on [1, 3]⎦x(iii) f(x) = x 3 – 2x 2 – x + 30n [0, 1] (iv) f(x) = log x on [1, e]89. For the curve y = 4x 3 – 2x 5 . Find all points at which tangent passes throughorigin. Ans : (0, 0); (1, 2); (–1, –2)90. The two equal sides of an isosceles triangle with fixed base b are decreasing at arate of 3cm/s. How fast is the area decreasing when the two equal sides areequal to the base? Ans : 3 b cm 2 /s91. The curve y 2 = 4ax and xy = c 2 cut orthogonally show that c 4 = 32a 4 .

2 2x y92. Find the equation of tangent to the curve + = 1 at (x2 b21 , y 1 ) Ans:axx1yy1+ = 12 b2a93. Find a point on the curve y = x − 2 where tangent is parallel to the chordjoining the end points on the curve in the interval [2, 3]⎛ 9 1 ⎞Ans: ⎜ , ⎟⎝ 4 2 ⎠94. What is the smallest perimeter possible for a rectangle whose area is 16cm 2 ?Ans: 36cm95. Do miscellaneous exercise of Ch – 2

Physical EducationAssignment - 1SHORT ANSWER QUESTIONS (50 – 80 words)1. Explain the meaning of physical fitness.2. Explain the meaning of wellness.3. Enlist the components of physical fitness.4. Define aerobic and anaerobic activities.5. Explain in brief the role of yoga in fitness development.6. Explain any two principles of physical fitness development.7. Explain calisthenics as a mean for fitness development.8. Explain recreational activities as a mean for fitness development.9. Does jogging fitness? Explain.10. Explain the importance of physical fitness and wellness.11. Discuss sports and yoga as means of fitness development.12. Highlight any six important principles of physical fitnessdevelopment.13. Discuss the various methods for improving wellness.LONG QUESTIONS (150 – 120 words)14. Define physical fitness and wellness. Elucidate the variouscomponents of physical fitness.15. Discuss in detail the various factors which influence the physicalfitness and wellness.16. Define physical fitness. Explain the various means to developphysical fitness.17. Enlist the means of fitness and explain the development of fitnessthrough aerobic and anaerobic activities.18. Explain in detail the means of fitness development.Assignment – 2

SHORT ANSWER QUESTIONS (50 – 80 words)1. What do you mean by sports training?2. What is circuit training?3. What is fartlek training method?4. What do you mean by repetition method?5. Write a brief note on isotonic exercises.6. Write down a short note on pace races.7. What do you mean by acceleration runs?8. Define speed.9. What do you mean by tactical training?10. Define sports training.11. Define endurance.12. Define strength.13. Mention the advantages of circuit training method.14. What do you mean by technical training?15. What do you mean by interval method?16. What do you mean by concept of training? Discuss.17. Discuss the difference between isotonic and isometric exercises.18. Discuss the basic methods of conditioning.19. Explain the internal methods of training.20. Elaborate the continuous training method.LONG QUESTIONS (150 – 120 words)21. Discuss the meaning and concept of training. Explain the methods of training.22. What do you mean by sports training? Explain the methods of strengthdevelopment.23. Discuss speed and its methods of development in detail.24. Explain the circuit training method in detail.Assignment - 3

SHORT ANSWER QUESTIONS (50 – 80 words)1. Define sociology.2. Define sports sociology.3. What do you mean by socialization?4. Define leadership.5. Explain any four qualities of a leader in physical education.6. Explain any two reasons for ineffective development of values.7. Explain any two methods for the development of values.8. Are the qualities of a leader necessary for the development ofprofession of physical education? Give your views in brief.9. Define sociology and sport sociology.10. Write a short note on games and sports as man’s cultural heritage.11. Explain various social qualities which are developed through theprogrammes of physical education.12. At what levels, socialization take place ion physical education?13. Discuss personal qualities of a leader in physical education.14. Discuss professional qualities of a leader in physical education.15. Discuss the qualities acquired through physical educationprogrammes.16. Explain the reasons for ineffective development of values throughphysical education programmes.LONG QUESTIONS (150 – 120 words)17. Explain the meaning of sociology and sports sociology in detail.18. Write a note on games and sports as man’s cultural heritage.19. What do you mean by socialization? How does it take place through physicaleducation programmes and Olympic movement?20. Define leadership. Discuss various personal and professional qualities of aleader in the field of physical education.21. Discuss the role of physical education programmes in the preparation of a leaderin the field of physical education.22. Is value education provided through the programmes of physical education andOlympic movement? Explain your views.23. What are values? Discuss the reasons for ineffective development of valuesthrough physical education programs.24. Are values necessary in the field of physical education? Explain the variousmethods for developing values through the programmes of physical educationand Olympic movement.

Assignment – 4SHORT ANSWER QUESTIONS (50 – 80 words)1. Define environment.2. Explain physical environment.3. Explain the effects of extreme heat and high altitude on sportsperson.4. Discuss the effect of air pollution on sportsperson.5. Enlist the essential elements of positive environment. Explain any two of them inbrief.6. Discuss the essential elements of positive environment in brief.7. Explain in detail the meaning of environment.8. How can you improve the environment for prevention from sports relatedaccidents? Explain.9. Discuss in brief, the need of proper environment in physical educationprogramme.LONG QUESTIONS (150 – 120 words)10. Elucidate the essential elements of positive environment in detail.11. Discuss the meaning of environment. Is there any need for proper environment inphysical education programme? Give your views.12. Discuss the role of an individual in the improvement of environment forprevention from sports related accidents13. What do you mean by environment? Elaborate the essential elements of positiveenvironment.Assignment – 5SHORT ANSWER QUESTIONS (50 – 80 words)1. What do you mean by yoga?2. Define yoga.3. Describe about the origin of yoga.4. What do you mean by `Pranayama’?5. Explain `Asana’.6. Give your comments in brief about the role of yoga in sport.7. Explain the importance of yoga.8. Write down a short essay on `Yoga as an Indian Heritage.”9. Enlist the elements of yoga and explain any two elements in detail.10. Explain in brief the role of yoga in sports.

LONG QUESTIONS (150 – 120 words)11. What do you mean by the term `Yoga’? Elucidate the importance of yoga indetail.12. Discuss `yoga’ in detail.13. Define yoga. Explain the elements of yoga in detail.14. Discuss the role of yoga in the field of sports and game.15. “Can excellence be achieved in competitive sports through yoga?” Explain yourviews in detail.Assignment – 61. Elaborate the terms Rehabilitation and first aid. Explain in detail about commonsports injuries.2. Explain first aid for sports injuries.3. What do you mean by First-Aid?4. What are the qualities of a First-Aid?5. What is internal bleeding?6. What is strain and its treatment?7. What treatment should be given if a player he is bleeding for nose?8. What is dislocation of bone?9. What is fracture? What are its types?10. What are the types of wounds? Explain it briefly.11. What is sprain and its treatment?12. What are Bruises?13. What is drawing? What first-aid can be given to a drawing person?14. How artificial respiration can be given to a person who has drowned in water?15. What do you understand by disaster preparedness?16. Briefly explain essential elements of healthful environment.17. Elaborate the concept of environment.18. Briefly explain role of parents in child care.19. Discuss the needs and problems of adolescents.20. Briefly explain the scope of environment.21. Write a brief note on safe drinking water and clean air.22. Briefly explain the prevention of accident related to transportation.23. Describe the importance of family as a social institution. Also highlight the role ofparents in all-sound development of the personality of a child.24. What do you understand by disaster? Describe the steps to be taken duringdisaster, towards health care.H.D. AssignmentSHORT ANSWER QUESTIONS (40-45 WORDS)

1. Write in your own words the meaning of Physical Fitness.2. Name the components of Physical Fitness.3. Define the mention the importance of wellness.4. Name at least four components of wellness.5. What do you understand by Aerobic exercises?6. What is the jogging?7. Explain the importance of jogging.8. Explain the purpose or objective of doing Yogic exercises.9. Discuss the role of aerobic activities in the development of physical fitness.10. What is the warming up and limbering down?11. What do you understand by training? Explain.12. What do you understand by training in sports?13. Name three training methods of Endurance development.14. Explain Isometric and Isokinetic exercises with examples.15. Name the training methods for strength development.16. Define strength, speed & Endurance.17. How would you train speed?18. Describe some of the effects of All-Round Training.19. Give a brief introduction of pace running.20. Define Sociology in your own words. What do you understand by sportsSociology?21. Who started the Ancient Olympic Games? When and where were the AncientOlympics held?22. Define a leader. Write the qualities of a good leader.23. What are the qualities which are gained through games and sports?24. What are the importances of Sociology?25. Describe some of the qualities of sportsmanship.26. What is the significance of the design of Olympic Flag?27. What is the role of parents in All-round Development of the personality of thechild?28. What is the slow continuous method?Medium Answer Question1. What is the difference between Physical Fitness and Wellness? Explain briefly.2. What are Anaerobic exercises? Explain by giving some examples.3. What are the advantages of doing yogic exercises?4. Write short notes on any two of the following :(i) Asanas (ii) Pranayam (iii) Meditation5. What are calisthenics and what are the advantages of doing calisthenics?6. Explain the importance of Isometric & Isokinetic exercise.7. Explain training method for speed.8. Explain fartlek or continuous training method.9. Describe the methods of development of strength.

10. Write a note on the Ancient Olympic games.11. Define a leader. What are the qualities of a good leader?12. Explain the cultural heritage of games and sports in Greece.Assignment of Theory & Practical1. What is athletics?2. Who is an athlete?3. What is the dimension of standard track?4. How many types of races are in track events?5. What are the different types of middle distance race?6. What are the different types of long distance race?7. What are the different types of short distance race?8. How any types of jump?9. State the different types of throws.10. How many lanes are there in a standard track?11. What is the width of a lane in track?12. What is stagger?13. In which races stagger is used?14. Give the name of the starts.15. Give the number and weight of hurdle.16. What is the weight of short-put man and woman?17. What is the weight of discus for men and women?18. What is the weight of hummer?19. What is the angle of sector in throwing events?20. What is the length of crossbar in pole-vault?21. What is the weight of crossbar in pole-vault?22. What is the landing area of pole-vault?23. What is the crossbar in high jump?24. What is the length of crossbar in high jump?25. What is the lending area of long jump?26. How many styles of jumping are there in long jump?27. How much is the approach run in long jump?28. What is the distance between take off board and landing area?29. What is the width of take off board in long jump?What is the runway of the pole vault?