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A point P(x,y) nores on the curve x^(2/3...

A point `P(x,y)` nores on the curve `x^(2/3) + y^(2/3) = a^(2/3),a >0` for each position `(x, y)` of p, perpendiculars are drawn from origin upon the tangent and normal at P, the length (absolute valve) of them being `p_1(x) and P_2(x)` brespectively, then

A

`(dp_(1))/(dx).(dp_(2))/(dx)lt0`

B

`(dp_(1))/(dx).(dp_(2))/(dx)le0`

C

`(dp_(1))/(dx).(dp_(2))/(dx)ge0`

D

`(dp_(1))/(dx).(dp_(2))/(dx)ge0`

Text Solution

Verified by Experts

The correct Answer is:
B
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