Nalanda Open University

MATHEMATICS (Subsidiary)
Answer Any Two Questions.(lHkh iz'u 10-10 vadska ds gSa)
1. (a) State and Prove General De-Morgan's laws.
(b) If X 1 and X 2 are denumerable sets, then prove that X 1 × X 2 is also denumerable.
2
2. (a) Show that the Equation represents an ellipse and obtain the its foci and
2x
2
+ 3y
−4x
+ 5y
+ 4=
0
eccentricity.
To find the condition that the lines y = mx + C may touch the ellipse
(b)
3. (a) Find the nth derivative of
(b)
2
x log x
State and Prove Maclaurin's series.
BACHLOR OF COMPUTER APPLICATION (B.C.A) PART – I
PAPER-I (CS-610)
Answer Any Two Questions.(lHkh iz'u 10-10 vadska ds gSa)
1. Write a paragraph in about 200 words on any one of the following:
(a) The world has shrunk with advancement in communication.
(b) Computers have brought in both speed and efficiency in our day to day
functioning.
(c) A clean environment is both a healthy and a happy environment.
5. Write an essay of about 400 words on any one of the following topics:
i) The changing role of the mobile phone.
ii) The advantages and disadvantages of social networking sites.
iii) The increasing role of technology in our homes.
3. (A) Make the following words negative by adding the appropriate prefix:
(i) Congruous (ii) Accustomed. (iii) Admissible
(iv) Collegiate (v) Animate (vi) Valuation
(vii)Own (viii) Climax (ix)Fortune
(x) Deed
(B) Fill in the blanks using who, which or that
(a) The man-----------is standing at the door is an actor.
(b) The policy-----------the government is following these days is praiseworthy.
(c) Teachers generally like students---------- are punctual and hardworking.
(d)
(e)
2x
+ 3y
= 1.
x
a
2
2
+ b
y
2
2
= 1.
The play---------we saw last night was hilarious.
You are telling a story---------- is unbelievable.
PAPER-II (FHS-01)
Answer Any Two Questions.(lHkh iz'u 10-10 vadska ds gSa)
1. Describe the importance of the study of Humanities and Social Sciences.
ekufodh ,oa lektfoKku ds v/;;u ds egRo dk o.kZu dhft, A
2. Describe the basic features of the River valley civilisations.
unh ?kkVh lH;rk dh ewyHkwr fo'ks"krkvksa dk o.kZu dhft, A
3. What is feudalism? Discuss Anderson's views on feudalism.
lkearokn D;k gS\ lkearokn ij ,UMjlu ds fopkjksa dk foospu dhft, A
PAPER-III (CS-611) – Practical Work
PAPER-IV (CS-612)
Answer Any Two Questions.(lHkh iz'u 10-10 vadska ds gSa)
1. Explain the concept of minimum spanning circles using an example.
2. Write a short note on the following:
(a) HTTP (b) Pivot Table (c) GOAL SEEK (d) Decision Trees
3. Explain the steps involved in displaying, editing and deleting a scenario manager.
PAPER-V (CS-60)
Answer Any Two Questions.(lHkh iz'u 10-10 vadska ds gSa)
1. Find the eccentricity, foci and centre for the ellipse
2 2
2. Find the centre and radius of the circle.
2 2 2
x + y + z + 12x
−12
y −16z
+ 111=
0=
2x
+ 2y
+ z −17.
3. To find from first principle of differential coefficient of Cotx with respect to x.
PAPER-VI (CS-62) – Practical Work