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If the normal at four points P(i)(x(i), ...

If the normal at four points `P_(i)(x_(i), (y_(i)) l, I = 1, 2, 3, 4` on the rectangular hyperbola `xy = c^(2)` meet at the point `Q(h, k),` prove that
`x_(1) + x_(2) + x_(3) + x_(4) = h, y_(1) + y_(2) + y_(3) + y_(4) = k`
`x_(1)x_(2)x_(3)x_(4) =y_(1)y_(2)y_(3)y_(4) =-c^(4)`

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