Let S = 0 is locus of centre of a variable circle which intersect circle x^2 + y^2 -4x -6y = 0 ortho

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10-1.Circle and System of Circles

normal

Let $S = 0$ is the locus of centre of a variable circle which intersect the circle $x^2 + y^2 -4x -6y = 0$ orthogonally at $(4, 6)$ . If $P$ is a variable point of $S = 0$ , then least value of $OP$ is (where $O$ is origin)

A

$\sqrt {13} $

B

$2\sqrt {13} $

C

$10$

D

$13$

Solution

$2x + 3y = 26$

Standard 11

Mathematics

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