CBSE Guess > Papers > Question Papers > Class XII > 2005 > Maths > Compartment Outside Delhi Set-II

MATHS 2005 (Set II—Compartment Outside Delhi)

Expect for the following questins, all the remaining question have been asked in Set I.

SECTION - A

Q. 1. Using properties of determinants, show that

Q. 5. Evaluate:

Q. 10. If show that

Q. 13. Using differentials, find the approximate value of

Q. 18. Using integration, find the region in the first quadrant enclosed by the x-axis, the line and the circle .

EXERCISE B

Q. 19. If then verify that

Q. 22. A particle just clears wall of height 'b' at a distance 'a' and strikes the ground at a distance 'c' from the point of projection. Prove that the angle of projection is and the velocity of projection u is given by

Q. 24. Two forces of magnitude and make an angle with one another, and their resultant makes an angle with the bisector of the angle between them. Show that

SECTION - C

Q. 21. Two cards are drawn successively with replacement from a well- shuffled pack of 52 cards. Find the mean and variance for the number of aces.

Or

There are 5% defective bulbs of bulbs. What is the probability that a sample of 10 bulbs. Will includes not more than 1 defective bulb? (Use e -0.5 = 0.6065)

Q. 22. Two bags A and B contain 2 white, 4 red; and 3 white, 3 red balls respectively. One of the bags is selected at random and a ball is drawn from it. If the selected ball is of white colour, find the probability that it is drawn from bag A.

Q. 25. A and B are partners sharing profit and losses in the ratio 1 : 2 respectively. They admit C as a new partner, the new profit sharing ratio being 1 : 2 : 2 between A, B and C, respectively. C pays Rs.12,000 as premium for goodwill. How will the premium be shared between A and B?