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Question

lf the circles x2+y2−10x+2y+10=0 and x2+y2−4x−6y−12=0 touch each other then the slope of the common tangent at the point of contact of the circles is

A
34
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B
43
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C
43
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D
34
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Solution

The correct option is B 34
when two circles touch each other , thus equation of common tangent
is also a equation radical axis of those two given circle.
equation of radical axis is
s1s2=0
6x8y22=0
3x4y11=0
So, eqn of tangent at point of contact is also
3x4y11=0
slope=34.

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