A) 11
B) \[-11\]
C) 24
D) 100
Correct Answer: B
Solution :
Equation of family of concentric circles to the circle \[{{x}^{2}}+{{y}^{2}}+6x+8y-5=0\] \[{{x}^{2}}+{{y}^{2}}+6x+8y+\lambda =0\] which is similar to \[{{x}^{2}}+{{y}^{2}}+2gx+2fy+c=0.\] Thus, the point \[(-3,2)\] lies on the circle. \[{{x}^{2}}+{{y}^{2}}+6x+8y+c=0\] \[\Rightarrow \]\[{{(-3)}^{2}}+{{(2)}^{2}}+6(-3)+8(2)+c=0\] \[\Rightarrow \]\[9+4-18+16+c=0\] \[\therefore \] \[c=-11\]You need to login to perform this action.
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