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

MATHEMATICS 2005 (Set II—Compartment Delhi)

Except for the following questions, all the remaining questions have been asked in maths I .

SECTION - A

Q. 1. Using properties of determinants, show that

 Q. 7. Evaluate:

 Q. 13. Differentiate

 Q. 15. Find the intervals in which the function given by is (a) strictly increasing, (b) strictly decreasing.

Q. 16. Using integration, find the area of the smaller region bounded by the curve and the straight line

 SECTION - B

Q. 19. Using vectors, prove that the median to the base of an isosceles triangle is perpendicular to the base.

Q. 21. A man can throw a stone to a maximum distance of 125 m. for how much time will it remain in air and up to what height will it rise? (Take g = 9.8 m/s 2 )

Q. 24. Two unlike parallel forces act at two points 'x' units apart. If the direction of is reversed them prove that the resultant is displayed through the distance units.

SECTION - C

Q. 19. An experiment succeeds twice as often as it fails. Find the probability that in the next six trials, there will be at leas 4 successes.

Q. 23. In the beginning of each quarter Rs. 500 are deposited into a savings account that pays 8% per annum compounded quarterly. Find the balance in this account after 6 years.