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If the tangent at any point P(4m^(2),8m^...

If the tangent at any point `P(4m^(2),8m^(3))` of `x^(3)-y^(2)=0` normal also to the curve `x^(3)-y^(2)=0`, then the value of m is-

A

`m=(sqrt2)/(3)`

B

`m=(-sqrt2)/(3)`

C

`m=(3)/(sqrt2)`

D

`m=(-3)/(sqrt2)`

Text Solution

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The correct Answer is:
A,B
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