Let 0 P = (cos θ, sin θ) and Q = (cos (α – θ), sin (α – θ)) then θ is obtained from P by
Mathematics · JEE Advanced · NTA Exams — Co-ordinate Geometry
Let \(0<\alpha<\frac{\pi}{2}\) be a fixed angle. If P = (cos θ, sin θ) and
Q = (cos (α – θ), sin (α – θ)) then θ is obtained from P by
Q = (cos (α – θ), sin (α – θ)) then θ is obtained from P by
- clockwise rotation around origin through an angle α.
- anticlockwise rotation around origin through an angle α
- reflection in the line through origin with slope tan α
- reflection in the line through origin with slope
tan
Answer
(C) reflection in the line through origin with slope tan α
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