A) \[3\]
B) \[2\]
C) \[1\]
D) \[5\]
Correct Answer: A
Solution :
Key Idea: Two circles cut orthogonally, if\[2{{g}_{1}}{{g}_{2}}+2{{f}_{1}}{{f}_{2}}={{c}_{1}}+{{c}_{2}}\]. The equation of circles whose centres \[(2,\,\,3)\] and\[(5,\,\,6)\], and radius \[r\] are \[{{(x-2)}^{2}}+{{(y-3)}^{2}}={{r}^{2}}\] \[\Rightarrow \] \[{{x}^{2}}+{{y}^{2}}-4x-6y-{{r}^{2}}+13=0\] and \[{{(x-5)}^{2}}+{{(y-6)}^{2}}={{r}^{2}}\] \[\Rightarrow \] \[{{x}^{2}}+{{y}^{2}}-10x-12y-{{r}^{2}}+61=0\]You need to login to perform this action.
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