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P is a veriable poin on the hyperbola `x^(2) - y^(2) =16` and A (8,0) is a fixed point . Show that the locus of the middle point of the line segment `bar(AP)` is another rectangular hyperbola.

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The correct Answer is:
`3y^(2)-x^(2) = 12`
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CHHAYA PUBLICATION-HYPERBOLA-SHORT ANSWER TYPE QUESTIONS
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