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Question

The angle between the tangents from (α,β) to the circle x2+y2=a2, is
  1. tan1aα2+β2a2
  2. tan1α2+β2a2a
  3. 2tan1aα2+β2a2
  4. None of these


Solution

The correct option is C 2tan1aα2+β2a2
tan=θ2=CT1PT1=aα2+β2a2

θ2=tan1aα2+β2a2θ=2tan1aα2+β2a2.

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