Home
Class 12
MATHS
Let 0 lt alpha lt pi//4 be a fixed angle...

Let `0 lt alpha lt pi//4` be a fixed angle. If `P=(cos theta, sin theta) and Q=(cos (alpha-theta), sin(alpha-theta))`, then Q is obtained from P by:

A

clockwise rotation around origin through an angle `alpha`

B

anticlockwise rotation around origin through an angle `alpha`

C

reflection in the line through origin with slope `tan alpha`

D

reflection in the line through origin with slope `"tan"(alpha)/(2)`.

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Multiple Choice Questions (LEVEL-II)|50 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|12 Videos

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise RCQ.s Recent Competitive Questions (Questions from Karnataka CET & Comed|6 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos

Similar Questions

Explore conceptually related problems

(1-cos theta)/(sin theta)=(sin theta)/(1+cos theta)

(1-cos theta)/(sin theta)=(sin theta)/(1+cos theta)

((cos theta+i sin theta)/(sin theta+i cos theta))^(4)=

If acos theta+b sin theta=p and a sin theta-b cos theta=q then

If x = theta cos theta + sin theta, y = cos theta- theta sin theta , then dy/dx at theta = pi/2

If sin theta= sin alpha , then

If A=[[sin theta , cos theta],[-cos theta , -sin theta]] then A^(2)=

x = a (cos theta + theta sin theta), y = a (sin theta - theta cos theta) . then find dy/dx

sin(3theta+alpha)+sin(3theta-alpha)+sin(alpha-theta)-sin(alpha+theta)=cosalpha

What is the distance between the points P ( cos theta , sin theta ) and Q (sin theta - cos theta )