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Old Exam Papers June 2012 (Set 2)

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tanb ig<br />

ds okLrfod ,oa dkYifud Hkkx Kkr<br />

dhft;sA<br />

2. (a) Define relation and its types.<br />

lEcU/k ,oa blds izdkj ifjHkkf"kr dhft;sA<br />

(b) If f : R R is a function such that<br />

f bg x 2x 1, x R<br />

, then show that it is oneone<br />

and onto.<br />

;fn f : R R ,d Qyu bl izdkj gS fd<br />

f bg x 2x 1, x R<br />

] rks fl) dhft;s ;g<br />

,dSdh&vkPNknd gSA<br />

3. Differentiate the following with respect to x :<br />

(i) x x xe x<br />

2<br />

2 sin <br />

(ii)<br />

1 tan x<br />

sec x<br />

x ds lkis{k fuEufyf[kr dk vodyu dhft;s %<br />

(i) x x xe x<br />

2<br />

2 sin <br />

(ii)<br />

1 tan x<br />

sec x<br />

200 2 BMT<br />

fpduh f?kjuh ij ls gksdj tkrh gqbZ gYdh Mksjh ds fljksa<br />

ij c¡/ks gSaA 3 lsds.M ds i'pkr~ budk osx Kkr<br />

dhft;sA<br />

BMT 7 200

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