Foot of perpendicular from point P on hy...

Foot of perpendicular from point P on hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1` to its transverse axis is N. If A and A' are vartices of hyperbola and Q divides AP in the ratio `a^(2):b^(2)`, then prove that NQ is perpendicular to A'P. Vertix A is near to point P.

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