Mathematics · 2020
JEE Main · 5 September 2020, Shift 2 · Q66
If the line y= m x+ c is a common tangent to the hyperbola x^2/100-y^2/64=1 and the circle x^2+y^2=36, then which one of the following is true?
If the line $\displaystyle y=\mathrm{m} x+\mathrm{c}$ is a common tangent to the hyperbola $\displaystyle \frac{x^2}{100}-\frac{y^2}{64}=1$ and the circle $\displaystyle x^2+y^2=36$, then which one of the following is true ?
Official answer
(3)
$\displaystyle 4 c^2=369$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.