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A curve is such that the ratio of the su...

A curve is such that the ratio of the subnomal at any point to the sum of its co-ordinates is equal tothe ratio of the ordinate of this point to its abscissa. If the curve passes through M(1,0), then possible equation of the curve is(are)

A

`y= x ln x`

B

`y=(ln x)/(x)`

C

`y= (2 (x-1))/(x ^(2))`

D

`y= (1-x ^(2))/(2x)`

Text Solution

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The correct Answer is:
A, D
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