If the slope of the tangent to the curve $y = x^{3}$ at a point on it is equal to the ordinate of the point then the point is

(27, 3)

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(3, 27)

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(3, 3)

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(1, 1)

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Solution

The correct option is B $(3, 27)$
$\frac{d y}{d x} = 3 x^{2}$
$3 a^{2} = a^{3}$
$a = 3$
$(3, 3^{3})$
$(3, 27)$

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