Mathematics · 2021
JEE Main · 31 August 2021, Shift 1 · Q86
If the variable line 3 x+4 y=α lies between the two circles (x-1)^2+(y-1)^2=1 and (x-9)^2+(y-1)^2=4, without intercepting a chord on either circle,…
If the variable line $\displaystyle 3 x+4 y=\alpha$ lies between the two circles $\displaystyle (x-1)^2+(y-1)^2=1$ and $\displaystyle (x-9)^2+(y-1)^2=4$, without intercepting a chord on either circle, then the sum of all the integral values of $\displaystyle \alpha$ is \_\_\_\_.
Official answer
165
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.