Mathematics · 2021
JEE Main · 18 March 2021, Shift 2 · Q74
Let S_1: x^2+y^2=9 and S_2:(x-2)^2+y^2=1. Then the locus of center of a variable circle S which touches S_1 internally and S_2 externally always…
Let $\displaystyle \mathrm{S}_1: x^2+y^2=9$ and $\displaystyle \mathrm{S}_2:(x-2)^2+y^2=1$. Then the locus of center of a variable circle S which touches $\displaystyle \mathrm{S}_1$ internally and $\displaystyle \mathrm{S}_2$ externally always passes through the points:
Official answer
(1)
$\displaystyle \left(2, \pm \frac{3}{2}\right)$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.