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The point P of the curve y^(2)=2x^(3) s...

The point P of the curve `y^(2)=2x^(3)` such that the tangent at P is perpendicular to the line `4x-3y +2=0` is given by

A

(2, 4)

B

`(1, sqrt(2))`

C

`((1)/(2), (1)/(2))`

D

`((1)/(8), -(1)/(16))`

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The correct Answer is:
D
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