Mathematics · 2021
JEE Main · 3 August 2021, Shift 2 · Q86
The circles, x^2+y^2+2 x+4 y-4=0 and x^2+y^2-4 x+4 y+k=0 touch each other internally. If the point of contact of these circles is (a, b), then…
The circles, $\displaystyle x^2+y^2+2 x+4 y-4=0$ and $\displaystyle x^2+y^2-4 x+4 y+k=0$ touch each other internally. If the point of contact of these circles is $\displaystyle (a, b)$, then $\displaystyle 5\left(a^2+b^2\right)$ is equal to
\_\_\_\_.
Official answer
100
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.