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If p(1) and p(2) be the lengths of the p...

If `p_(1)` and `p_(2)` be the lengths of the perpendiculars from the origin on the tangent and normal ot the curve `x^((2)/(3))+y^((2)/(3))=a^((2)/(3))` at the point `(x_(1),y_(1))`, than show that, `4p_(1)^(2)+p_(2)^(2)=a^(2)`.

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