JEE Mathematics Solved Question Paper 2003 | Previous Year Papers | Zigya

Subject

Mathematics

Class

JEE Class 12

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

Advertisement
1.

In Z, the set of all integers, the inverse of - 7 w.r.t. * defined by ab = a + b + 7 for all a,b  Z is

  • - 14

  • 7

  • 14

  • - 7


2.

In ABC if 1ab1ca1bc = 0, if then sin2(A) + sin2(B) + sin2(C) is equal to

  • 49

  • 94

  • 33

  • 1


3.

Assuming that the sums and products given below are defined which ofthe following is not true for matrices?

  • AB = AC does not imply B = C

  • A + B = B + A

  • (AB)' = B'A'

  • AB = 0 implies A = 0 or B = 0


4.

Inverse of the matrix 1- 234 is

  • 1101- 234

  • 11042- 31

  • 42- 31

  • 1104- 2- 31


Advertisement
5.

b2c2bcb +cc2a2cac + aa2b2a ba + b is equal to

  • 1abcab +bc + ca

  • ab  + bc + ca

  • 0

  • a + b + c


6.

sin12cos-145

  • - 110

  • 110

  • - 110

  • 110


7.

The derivative of cos-11 - x21 + x2 w. r. t. cot-11 - 3x23x - x3 is

  • 32

  • 1

  • 12

  • 23


8.

If y = 1 - x + x22! - x33! + x44! ..., then d2ydx2 is equal to

  • - x

  • x

  • y

  • - y


Advertisement
9.

The slope of the tangent to the curve x = 3t2 + 1, y = t3 - 1 at x = 1 is

  • 12

  • 0

  • - 2


10.

The rate ofchange of the surface area ofthe sphere of radius r when the radius is increasing at the rate of 2 cm/sec is proportional to

  • 1r2

  • 1r

  • r2

  • r


Advertisement