A point moves so that square of its distance from the point (3, -2) is numerically equal to its distance from the line \[5x-12y=13\]. The equation of the locus of the point is [Roorkee 1974]

\[{{x}^{2}}+{{y}^{2}}-11x+16y+26=0\]

\[13{{x}^{2}}+13{{y}^{2}}-83x+64y+182=0\]

\[{{x}^{2}}+{{y}^{2}}-11x+16y=0\]

A point moves so that square of its distance from the point (3, -2) is

1.	A point moves so that square of its distance from the point (3, -2) is numerically equal to its distance from the line \[5x-12y=13\]. The equation of the locus of the point is [Roorkee 1974]
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
Answer» B. \[{{x}^{2}}+{{y}^{2}}-11x+16y+26=0\]

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A point moves so that square of its distance from the point (3, -2) is numerically equal to its distance from the line \[5x-12y=13\]. The equation of the locus of the point is [Roorkee 1974]

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