A) \[13{{x}^{2}}+13{{y}^{2}}-83x+64y+182=0\]
B) \[{{x}^{2}}+{{y}^{2}}-11x+16y+26=0\]
C) \[{{x}^{2}}+{{y}^{2}}-11x+16y=0\]
D) None of these
Correct Answer: A
Solution :
\[{{(h-3)}^{2}}+{{(k+2)}^{2}}=\left| \frac{5h-12k-13}{\sqrt{25+144}} \right|\]. Replace \[(h,k)\] by \[(x,\,y)\], we get \[13{{x}^{2}}+13{{y}^{2}}-83x+64y+182=0\], which is the required equation of the locus of the point.
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