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Question

# The length of the tangent drawn from a point on the circle x2+y2âˆ’4x+6yâˆ’4=0 to the circle x2+y2âˆ’4x+6y=0 is

A
8
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B
4
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C
2
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D
None of these
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Solution

## The correct option is D 2The equation of given circles is x2+y2−4x+6y−4=0 and x2+y2−4x+6y=0 i.e. (x−2)2+(y+3)2=17 ..... (i) and (x−2)2+(y+3)2=13 .... (ii)The center of both the circles is (2,−3) and radii of first and second circle are √17,√13 respectivelyWe can see, x will be the length of required tangent,Now, 17=x2+13⟹x=2Hence, option C is correct.

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