If \( 0\alpha\frac{\pi}{2} \) is a fixed angle. If \( P=(\cos \theta, \sin \theta) \) and \( Q \...

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If \( 0\alpha\frac{\pi}{2} \) is a fixed angle. If \( P=(\cos \theta, \sin \theta) \) and \( Q \) \( =\{\cos (\alpha-\theta), \sin (\alpha-\theta)\} \), then \( Q \) is obtained from \( P \) by
(a) clockewise rotation around origin through an angle \( \alpha \)
(b) anti-clockwise 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 \( \tan \frac{\alpha}{2} \)
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