CBSE[ Delhi ]_XII_Mathematics_ 2007_Set I

There are two bags I and II. Bag I contains 2 white and 3 red balls and Bag II contains 4 white and 5 red balls. One ball is drawn at random from one of the bags and is found to be red. Find the probability that it was drawn from bag II.

Evaluate: 

Evaluate: 

Find mean  variance  for the following probability distribution: 

Using properties of determinants, prove the following: 

Form the differential equation of the family of curves y = Acos2x + Bsin2x, where A and B are constants.

Solve the following differential equation:
xcosydy = (xe^xlogx + e^x)dx

A particle starting with initial velocity of 30 m/sec, moves with a uniform acceleration of 9 m/sec² Find:
(i).        the velocity of the particle after 6 seconds
(ii).      how far will it go in 9 seconds.
(iii).    its velocity when it has traversed 150 m.