A) \[(2,3)\]
B) \[(6,-4)\]
C) \[(-6,-4)\]
D) \[(-6,4)\]
Correct Answer: B
Solution :
[b] Equation of family of circles touching line \[x+y=2\] at point \[(1,1)\] is: \[{{(x-1)}^{2}}+{{(y-1)}^{2}}+\lambda (x+y-2)=0\] Equation of common chord PQ with the circle \[{{x}^{2}}+{{y}^{2}}+4x+5y-6=0\] is \[(-6x-7y+8)+\lambda (x+y-2)=0,\] which passes through the point \[(6,-4)\].You need to login to perform this action.
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