Mathematics · 2022
JEE Main · 24 June 2022, Shift 1 · Q5
Let x^2+y^2+ A x+ B y+ C =0 be a circle passing through (0,6) and touching the parabola y=x^2 at (2, 4). Then A + C is equal to \ \ \ \.
Let $\displaystyle x^2+y^2+\mathrm{A} x+\mathrm{B} y+\mathrm{C}=0$ be a circle passing through $\displaystyle (0,6)$ and touching the parabola $\displaystyle y=x^2$ at $\displaystyle (2, 4)$. Then $\displaystyle \mathrm{A}+\mathrm{C}$ is equal to \_\_\_\_.
Official answer
(1)
$\displaystyle 16$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.