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A normal inclined at an angle of 45◦ to ...

A normal inclined at an angle of 45◦ to x-axis of the ellipse `x^(2)/a^(2)+y^(2)/b^(2)=1` is drawn. It meets the major and minor axes in P and Q. If C is the center of the ellipse, prove that area of ∆CPQ is `(a^(2)-b^(2))^(2)/(2(a^(2)_b^(2))` sq units.

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