If a circle C passing through

Question:

If a circle $C$ passing through $(4,0)$ touches the circle $x^{2}+y^{2}+4 x-6 y-12=0$ externally at a point $(1,-1)$, then the radius of the circle $C$ is :-

  1. $\sqrt{57}$

  2. $2 \sqrt{5}$

  3.  4

  4. 5


Correct Option: , 4

Solution:

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