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Equation of any circle passing through t...

Equation of any circle passing through the point(s) of intersection of circle `S=0` and line `L=0` is `S + kL = 0`. Let `P(x_1, y_1)` be a point outside the circle `x^2 + y^2 = a^2` and `PA and PB` be two tangents drawn to this circle from `P` touching the circle at `A and B`. On the basis of the above information : The circle which has for its diameter the chord cut off on the line `px+qy - 1 = 0` by the circle `x^2 + y^2 = a^2` has centre (A) `(p/(p^2 + q^2), (-q)/(p^2 + q^2)` (B) `(p/(p^2 + q^2), (q)/(p^2 + q^2)` (C) `(p/(p^2 + q^2), (q)/(p^2 + q^2)` (D) none of these

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