Mathematics · 2021
JEE Main · 18 March 2021, Shift 1 · Q74
The differential equation satisfied by the system of parabolas y^2=4 a (x+ a ) is:
The differential equation satisfied by the system of parabolas $\displaystyle y^2=4 \mathrm{a}(x+\mathrm{a})$ is :
Official answer
(1)
$\displaystyle y\left(\frac{\mathrm{~d} y}{\mathrm{~d} x}\right)^2+2 x\left(\frac{\mathrm{~d} y}{\mathrm{~d} x}\right)-y=0$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.