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The coordinates of a moving point P are ...

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

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