If one of the diameters of the circle

Question:

If one of the diameters of the circle, given by the euqation, $x^{2}+y^{2}-4 x+6 y-12=0$, is a chord of a circle $\mathrm{S}$, whose centre is at $(-3,2)$, then the radius of $\mathrm{S}$ is :-

  1. 10

  2. $5 \sqrt{2}$

  3. $5 \sqrt{3}$

  4. 5


Correct Option: , 3

Solution:

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