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Line segment AB of fixed lengh c slides ...

Line segment AB of fixed lengh c slides between coordinate axes such that its ends A and B lie on the axes. If O is origin and rectangle OAPB is completed, then show that the locus of the foot of the perpendicular drawn from P to AB is `x^((2)/(3)) + y^((2)/(3)) = c^((2)/(3)).`

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The correct Answer is:
`x^(2//3)+y^(2//3)=c^(2//3)`
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