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P is the point of intersection of lines $a x + b y - a = 0$ and $b x - a y + b = 0$ , $(b \neq 0)$ .A circle with centre (1,0) and passes through P. If the tangent at P meets x-axes at the point $(k, 0)$ then $k =$

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$\frac{a b}{a^{2} + b^{2}}$

-1

$\frac{2 a b}{a^{2} + b^{2}}$

answer is B.

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Detailed Solution

$b x - a y + b = 0$ is tangent at P

$Cuts x-axes at (- 1, 0)$

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