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The tangent at a point p to the reactang...

The tangent at a point p to the reactangular hyperbola `xy=c^(2)` meets the lines `x-y=0, x+y=0` at Q and `R, Delta_(1)` is the area of the `DeltaOQR`, where O is the origin. The normal at p meets the X-axis at M and Y -axis at N. If `Delta_(2)` is the area of the `DeltaOMN`, show that `Delta_(2)` varies inversely as the square of `Delta_(1)`.

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