Q .     If the differential equation representing the family of all circles touching x-axis at the origin is `(x^2-y^2)\frac {dy}{dx}=g(x)y`, then g(x) equals :

JEE 2014 Mains Paper - 3
A

`\frac {1}{2}x`

B

`2x^2`

C

`2x`

D

`\frac {1}{2}x^2`

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