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Mathematics · 2022

JEE Main · 27 June 2022, Shift 1 · Q4

Let (d y)/(d x)=(a x- b y+ a)/(b x+ c y+ a), where a, b, c are constants, represent a circle passing through the point (2,5). Then the shortest…

Let $\displaystyle \frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{\mathrm{a} x-\mathrm{b} y+\mathrm{a}}{\mathrm{b} x+\mathrm{c} y+\mathrm{a}}$, where a, b, c are constants, represent a circle passing through the point $\displaystyle (2,5)$. Then the shortest distance of the point $\displaystyle (11,6)$ from this circle is :
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.