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If p(1),p(2) be the lenghts of perpendi...

If `p_(1),p_(2)` be the lenghts of perpendiculars from origin on the tangent and the curve `x^((2)/(3))+y^((2)/(3))=a^((2)/(3))` drawn at any point on it, show that,
`4p_(1)^(2)+p_(2)^(2)=a^(2)`

Text Solution

Verified by Experts

The correct Answer is:
`a^((2)/(3))(a^((2)/(3)))=a^((2)/(3)) a^((4)/(3)) =a^((6)/(3))=a^(2)`
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