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The numercal value of the product of the...

The numercal value of the product of the perpendicular distances of a moving point form the lines 4x - 3y + 11 = 0 and 4x + 3y + 5 = 0 is `(144)/(25)` . Find the equation to the locus of the moving point.

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The correct Answer is:
16`(x +2)^(2) -9(y-1)^(2) = 144`
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