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Q.

A curve is such that the ratio of the subnormal at any point to the sum of its co-ordiantes is equal to the ratio of the ordinate of this point to its abscissa. If the curve passes through $(1, 0)$ , then possible equation of the curve(s) is

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a

$y = x \ln x$

b

$y = \frac{1 - x^{2}}{2 x}$

c

$y = \frac{\ln x}{x}$

d

$y = \frac{2 (x - 1)}{x^{2}}$

answer is A, D.

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Detailed Solution

$m = \frac{d y}{d x}$

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