Mathematics · 2024
JEE Main · 5 April 2024, Shift 2 · Q13
The differential equation of the family of circles passing through the origin and having centre at the line y=x is:
The differential equation of the family of circles passing through the origin and having centre at the line $\displaystyle y=x$ is :
Official answer
From NTA’s final answer key for this paper.
(1)
$\displaystyle \left(x^2-y^2+2 x y\right) \mathrm{d} x=\left(x^2-y^2-2 x y\right) \mathrm{d} y$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.