If A and B are 2 x 2 matrices, then which of the following i

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

1.

If A = 001010100, then A-1 is

  • - A

  • A

  • 1

  • None of these


2.

If A = 685423971 is the sum of a symmetric matrix B and skew-symmetric matrix C, then B is :

  • 667625751

  • 02- 2- 25- 2220

  • 667- 62- 5- 751

  • 06- 220- 2- 2- 20


3.

If A = 1111, then A100 is equal to

  • 2100A

  • 299A

  • 100A

  • 299A


4.

If 1111- 2- 2131xyz = 034, then xyz is equal to :

  • 011

  • 12- 3

  • 5- 21

  • 1- 23


Advertisement
5.

ddxtan-11 + x2 - 1x is equal to :

  • 11 + x2

  • x221 + x21 + x2 - 1

  • 21 + x2

  • 121 + x2


6.

ddxtan-11 + cosx21 - cosx2 is equal to :

  • - 1/4

  • 1/4

  • - 1/2

  • 1/2


7.

The maximum value of x1/x is :

  • 1/ee

  • e

  • e1/e

  • 1/e


8.

The function f defined by f(x) = 4x4 - 2x + 1 is increasing for :

  • x < 1

  • x > 0

  • x < 1/2

  • x > 1/2


Advertisement
9.

A particle moves in a straight line so that s = t, then its acceleration is proportional to :

  • (velocity)3

  • velocity

  • (velocity)2

  • (velocity)3/2


Advertisement

10.

If A and B are 2 x 2 matrices, then which of the following is true ?

  • (A + B)2 = A2 + B2 + 2AB

  • (A - B)2 = A2 + B2 - 2AB

  • (A - B)(A + B) = A2 + AB - BA - B2

  • (A - B)(A + B) = A2 - B2


C.

(A - B)(A + B) = A2 + AB - BA - B2

Given that, A and B are 2 x 2 matrices

 A - B × A+B = A × A + A × B - B × A - B × B

    (A - B)(A + B) = A2 + AB - BA - B2


Advertisement
Advertisement