Mathematics · 2022
JEE Main · 29 July 2022, Shift 1 · Q30
Let the mirror image of a circle c_1: x^2+y^2-2 x-6 y+α=0 in line y=x+1 be c_2: 5 x^2+5 y^2+10 g x+10 f y+38=0. If r is the radius of circle c_2,…
Let the mirror image of a circle $\displaystyle \mathrm{c}_1: x^2+y^2-2 x-6 y+\alpha=0$ in line $\displaystyle y=x+1$ be $\displaystyle \mathrm{c}_2: 5 x^2+5 y^2+10 g x+10 f y+38=0$. If r is the radius of circle $\displaystyle \mathrm{c}_2$, then $\displaystyle \alpha+6 \mathrm{r}^2$ is equal to
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Official answer
12
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.