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A normal inclined at 45^@ to the axis of...

A normal inclined at `45^@` to the axis of the ellipse `x^2 /a^2 + y^2 / b^2 = 1` is drawn. It meets the x-axis & the y-axis in P & Q respectively. If C is the centre of the ellipse, show that the area of triangle CPQ is `(a^2 - b^2)^2/(2(a^2 +b^2))` sq units

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