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.

"> 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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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]

Joint Entrance Exam - Main (JEE Main) Mathematics in Joint Entrance Exam - Main (JEE Main) . 8 months ago

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\[{{(h-3)}^{2}}+{{(k+2)}^{2}}=\left| \frac{5h-12k-13}{\sqrt{25+144}} \RIGHT|\].            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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