The equation of the curve whose slope is given by `(dy)/(dx)=(2y)/x ; x >0,\ y >0` and which passes through the point (1,1) is a. `x^2=y` b. `y^2=x` c. `x^2=2y` d. `y^2=2x`

Explanation

Correct answer is A.


Slope of the curve is given by


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`d y / d x=2 y / x ; x>0, y>0`


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By Variable separable


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`Rightarrow int frac{d y}{2 y}=int frac{d x}{x}`


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