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The abscissa of the point on the curve a...

The abscissa of the point on the curve `ay^(2)=x^(3)`, the normal at which cuts off equal intercepts from the coordinate axes, is

A

`2a//9`

B

`4a//9`

C

`-4a//9`

D

`-2a//9`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • The point (s) on the curve 9y^(2) = x^(3) where the normal to the curve makes equal intercepts is/are

    A
    `(4 pm (8)/( 3))`
    B
    `(- 4, (8)/( 3))`
    C
    `(-4, - (8)/( 3))`
    D
    `((8)/( 3), 4)`

  • The equation of the plane which cuts equal intercepts of unit length on coordinate axes is

    A
    `x+y+z-1=0`
    B
    `x+y+z+1=0`
    C
    `x+y-z=1`
    D
    `x-y-z=1`

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