Q10 of 26 Page 1

Evaluate :

Let





We know that,



Since, cos2ax and sin2bx are even functions and cos ax sin bx is an odd function.








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8

If using properties of determinants find the value of f(2x) – f(x).

 9

Find :

OR


Integrate the following w.r.t. x


 11

A bag A contains 4 black and 6 red balls and bag B contains 7 black and 3 red balls. A die is thrown. If 1 or 2 appears on it, then bag A is chosen, otherwise bag B. If two balls are drawn at random (without replacement) from the selected bag, find the probability of one of them being red and another black.

OR


An unbiased coin is tossed 4 times. Find the mean and variance of the number of heads obtained.

 12

If find