# 24) The points on the curve  , where the normal to the curve makes equal intercepts with the axes are

Given the equation of the curve

We know that the slope of the tangent at a point on a given curve is given by

We know that

At point (a,b)

Now, the equation of normal with point (a,b) and

It is given that  normal to the curve makes equal intercepts with the axes
Therefore,

point(a,b) also satisfy the given equation of the curve

Hence, The points on the curve  , where the normal to the curve makes equal intercepts with the axes are
Hence, the correct answer is (A)

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