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A and B are...

Question

$A$ and $B$ are fixed points. If $| P A - P B |$ is a constant, locus of $P$ is

A

a parabola

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B

an ellipse

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C

a hyperbola

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D

a circle

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Solution

The correct option is C a hyperbola
If the difference of the distance of a point from two fixed points is a constant then the locus of the point is a hyperbola.

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B \equiv (3, 0)

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