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Let C be a curve defined parametricall...

Let `C` be a curve defined parametrically as `x=a\ cos^3theta` , `y=a\ sin^3theta,\ \ 0lt=thetalt=pi/2` . Determine a point `P` on `C` , where the tangent to `C` is parallel to the chord joining the points `(a ,\ 0)` and `(0,\ a)` .

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