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If any line perpendicular to the transverse axis cuts the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1` and the conjugate hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=-1` at points P and Q, respectively, then prove that normals at P and Q meet on the x-axis.

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