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Let 0 lt alpha lt (pi)/(2) be a fixed a...

Let `0 lt alpha lt (pi)/(2) ` be a fixed angle . If `p=(costheta, sin theta) and Q(cos(alpha-theta))`, then Q is obtained from P by

A

clockwise rotation around origin through an angle `alpha`

B

anit-clockwise rotation around origin through an angle `alpha`

C

reflection in the line through origin with slope `tanalpha`

D

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

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The correct Answer is:
D
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