Home
Class 12
MATHS
if A=[(cos0,sin0),(-sin0,cos0)],then A^(...

if `A=[(cos0,sin0),(-sin0,cos0)],then A^(2)=l`is true for

A

`theta=0`

B

`theta=(pi)/(4)`

C

`theta=(pi)/(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ARIHANT MATHS|Exercise Exercise For Session 2|19 Videos

  • MATRICES

    ARIHANT MATHS|Exercise Exercise For Session 3|16 Videos

  • MATRICES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos

  • MATHEMATICAL INDUCTION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos

Similar Questions

Explore conceptually related problems

If F(x)=[("cos"x,-sin x,0),(sin x,cos x,0),(0,0,1)] and G(y)=[(cos y,0,sin y),(0,1,0),(-sin y,0,cos y)] , then [F(x) G(y)]^(-1) is equal to

Let F(a)=[(cos a,-sin a,0),(sin a, cos a, 0),(0,0,1)] and G(B)=[(cos B,0,sin B),(0,1,0),(-sin B,0,cos B)] " Show that " [F(a).G(B)]^(-1)=G(-B).F(-a) .

" if " f(0) = |{:(sin 0 ,,cos 0,,sin 0),(cos0,,sin0,,cos0),(cos0,, sin 0,,sin 0):}| then

If cos2theta=0 , then |(0,costheta,sin theta),(cos theta, sin theta, 0),(sin theta, 0, cos theta)|^(2) is equal to…………

Let F (x) = [{:(cos x , -sin x , 0),(sin x , cos x , 0),(0 , 0, 1):}] , then

For 0 sin(cos x)

If cos25^(0)+sin25^(0)=K, then cos50^(@) is equal to

If f(theta)=[(cos theta, -sin theta,0),(sin theta, cos theta, 0),(0,0,1)] then {f(theta)^(-1)} is equal to

What is the inverse of the matrix A= ({:(cos theta, sin theta ,0),(- sin theta, cos theta,0),(0 , 0, 1):})