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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)`

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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:

The correct answer is A.

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APPEARS IN

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