If 0 < α < (π)/2 is a fixed angle. If P = (cosθ, sinθ) and Q = (cos(α - θ), sin(α - θ)), then Q is obtained from P by

reflection in the line through origin with slope tan(α)/2

clockwise rotation around origin through an angle α

anti-clockwise rotation around origin through an angle α

reflection in the line through origin with slope tanα

If 0 < α < (π)/2 is a fixed angle. If P = (cosθ, sinθ) and… — JEE Main 2002 Mathematics PYQ

AIEEE 2002

0 < \alpha < \dfrac{\pi}{2}

is a fixed angle. If

P = (\cos\theta, \sin\theta)

and

Q = (\cos(\alpha - \theta), \sin(\alpha - \theta))

, then

Q

is obtained from

P

Show answer

Correct option: D

[AIEEE 2002]

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