The angle between the tangents from (α, β) to the circle x 2 + y 2 = a 2 is –
Mathematics · JEE Main · NTA Exams — Co-ordinate Geometry
The angle between the tangents from (α, β) to the circle x2 + y2 = a2 is –
- \[\tan ^{-1}\left(\frac{\mathrm{a}}{\sqrt{\mathrm{~S}_{1}}}\right)\]
- \[2 \tan ^{-1}\left(\frac{\mathrm{a}}{\sqrt{\mathrm{~S}_{1}}}\right)\]
- \[2 \tan ^{-1}\left(\frac{\sqrt{S_{1}}}{a}\right)\]
- None of these
Where S1 = α2 + β2 – a2
Answer
(B) 2 ^ -1 ( a ~S _ 1 )
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