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Q.

The curve such that the ratio of the subnormal at any point to the sum of its abscissa and ordinate is equal to the ratio of the ordinate of this point to its abscissa is

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a

y=log⁡|Cx|

b

y=xlog⁡Cx2+y2

c

y=xlog⁡|Cx|

d

y=x2+Cx

answer is D.

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Detailed Solution

According to the given condition

ydydxx+y=yxdydx=x+yx

Putting y=Vx,V+dVdx=1+V

⇒dV=dxx⇒V=log⁡x+ const ⇒y=xlog⁡Cx.

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