A) \[4{{x}^{2}}+4{{y}^{2}}-30x-10y-25=0\]
B) \[4{{x}^{2}}+4{{y}^{2}}+30x-13y-25=0\]
C) \[4{{x}^{2}}+4{{y}^{2}}-17x-10y+25=0\]
D) None of these
Correct Answer: B
Solution :
Required equation is \[({{x}^{2}}+{{y}^{2}}+13x-3y)+\lambda (2{{x}^{2}}+2{{y}^{2}}+4x-7y-25)=0\] which passes through (1, 1), so \[\lambda =\frac{1}{2}\]. Hence required equation is \[4{{x}^{2}}+4{{y}^{2}}+30x-13y-25=0\].
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