Mathematics · 2023
JEE Main · 8 April 2023, Shift 1 · Q27
Consider a circle C_1: x^2+y^2-4 x-2 y=α-5. Let its mirror image in the line y=2 x+1 be another circle C_2: 5 x^2+5 y^2-10 f x-10 g y+36=0. Let r be…
Consider a circle $\displaystyle C_1: x^2+y^2-4 x-2 y=\alpha-5$. Let its mirror image in the line $\displaystyle y=2 x+1$ be another circle $\displaystyle C_2: 5 x^2+5 y^2-10 f x-10 g y+36=0$. Let $\displaystyle r$ be the radius of $\displaystyle C_2$. Then $\displaystyle \alpha+r$ is equal to $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
2
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.