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Find the abscissa of the point on the cu...

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

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The abscissa of a point on the curve x y=(a+x)^2, the normal which cuts off numerically equal intercepts from the coordinate axes, is (a) -1/(sqrt(2)) (b) sqrt(2)a (c) a/(sqrt(2)) (d) -sqrt(2)a

The abscissa of a point on the curve x y=(a+x)^2, the normal which cuts off numerically equal intercepts from the coordinate axes, is -1/(sqrt(2)) (b) sqrt(2)a (c) a/(sqrt(2)) (d) -sqrt(2)a