# The Points on the Curve 9y2 = X3, Where the Normal to the Curve Makes Equal Intercepts with the Axes Are - Mathematics

The points on the curve 9y2 = x3, where the normal to the curve makes equal intercepts with the axes are

(A)(4, +- 8/3)

(B) (4,(-8)/3)

(C)(4, +- 3/8)

(D) (+-4, 3/8)

#### Solution

The equation of the given curve is 9y2 = x3.

Differentiating with respect to x, we have:

It is given that the normal makes equal intercepts with the axes.

Therefore, We have:

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#### APPEARS IN

NCERT Class 12 Maths
Chapter 6 Application of Derivatives
Q 24 | Page 244