Mathematics · 2021
JEE Main · 27 August 2021, Shift 2 · Q85
Two circles each of radius 5 units touch each other at the point (1, 2). If the equation of their common tangent is 4 x+3 y=10, and C_1(α, β) and…
Two circles each of radius $\displaystyle 5$ units touch each other at the point $\displaystyle (1, 2)$. If the equation of their common tangent is $\displaystyle 4 x+3 y=10$, and $\displaystyle \mathrm{C}_1(\alpha, \beta)$ and $\displaystyle \mathrm{C}_2(\gamma, \delta), \mathrm{C}_1 \neq \mathrm{C}_2$ are their centres, then $\displaystyle |(\alpha+\beta)(\gamma+\delta)|$ is equal to \_\_\_\_.
Official answer
40
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.