Mathematics · 2014
JEE Main · 9 April 2014, Shift 1 · Q78
If the differential equation representing the family of all circles touching x -axis at the origin is (x^2-y^2) (d y)/(d x)= g (x) y, then g (x)…
If the differential equation representing the family of all circles touching $\displaystyle x$-axis at the origin is $\displaystyle \left(x^2-y^2\right) \frac{\mathrm{d} y}{\mathrm{~d} x}=\mathrm{g}(x) y$, then $\displaystyle \mathrm{g}(x)$ equals :
Official answer
(3)
$\displaystyle 2 x$
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.