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Question

Mathematics Question on Conic sections

A line is drawn through a fixed point P(α,β)P (\alpha,\beta) to cut the circle x2+y2=r2 x^2 + y^2 = r^2 at AA and B,B, then PA.PBPA.PB is equal to

A

(α+β)2−r2(\alpha+\beta)^2-r^2

B

α+β2−r2\alpha+\beta^2-r^2

C

(α+β)2+r2(\alpha+\beta)^2+r^2

D

none of these.

Answer

α+β2−r2\alpha+\beta^2-r^2

Explanation

Solution

Answer (b) α+β2−r2\alpha+\beta^2-r^2