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Question

If P is a point on the hyperbola 16x2 – 9y2 = 144 having foci at S and S , then S'P – SP = ___________________.

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Solution

For a given hyperbola,
Let P(x, y) be any point on hyperbola,

16x2-9y2=144i.e. x29-y216=1 i.e. a=3 and b=4Let S and S1 represent foci then SP-SP1=2ai.e. SP-SP1=6

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