Home Maths Rectangular Cartesian Co-ordinates Mix Let 0 < α < be fixed angle. If P = (cos θ ,…
Maths Rectangular Cartesian Co-ordinates Mix Single Correct MCQ
Published on: August 13, 2026

Let 0 < α < be fixed angle. If P = (cos θ , sin θ ) & Q = {cos ( α – θ ), sin ( α – θ )}, then Q is obtained from P by-

A
Clockwise rotation around origin through an angle α
B
Anticlockwise rotation around origin through an angle α
C
Reflection in the line through origin with slope tan α
D
Reflection in the line through origin with slope tan

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Text Solution

Verified by Experts
The correct answer is:
D

∴ Point Q is the reflection of point P w.r.t. line through origin

with slope tan

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