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All India-2009
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Q14 of 45 Page 1

Evaluate:

OR


Evaluate:

Given:






We know that




OR


Let


Integrating by parts, taking x as a 2nd function,



We know that









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12

If sin y = x sin(a + y), prove that

OR


If (cos x)y = (sin y)x, find

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Let f:N → N is defined by for all n ∈ N.

Find whether the function f is objective.

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If show that (1 – x2)

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On a multiple-choice examination with three possible answers (out of which only one is correct) for each of the five questions, what is the probability that a candidate would get four or more correct answers just by guessing?

Questions · 45
All India-2009
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