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Prove that the sum of the intercepts on ...

Prove that the sum of the intercepts on the co-ordinate axes of any tangent to the curve `x=a cos^(4)theta, y=a sin^(4) theta, 0 le theta le (pi)/(2)` is equal to a .

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The correct Answer is:
`=a cos ^(2) theta +a sin^(2) theta=a`
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