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The coordinates of a moving point P are ...

The coordinates of a moving point P are `(a/2(cosectheta+sintheta), b/2(cosectheta-sintheta)), " where " theta` is a variable parameter. Show that the equation of the locus P is `b^(2)x^(2)-a^(2)y^(2)=a^(2)b^(2)`.

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The correct Answer is:
`a^2b^2`
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