Let 0 lt alpha lt pi//2 be a fixed angle...

Let `0 lt alpha lt pi//2` 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 the

A

clockwise rotation around the origin through an angle `alpha`

B

anticlockwise rotation around the origin through an angle `alpha`

C

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

D

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

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The correct Answer is:

D

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