Mathematics · 2022
JEE Main · 29 July 2022, Shift 1 · Q8
Let a line L pass through the point of intersection of the lines b x+10 y-8=0 and 2 x-3 y=0, b ∈ R -{4/3}. If the line L also passes through the…
Let a line L pass through the point of intersection of the lines $\displaystyle \mathrm{b} x+10 y-8=0$ and $\displaystyle 2 x-3 y=0, \mathrm{~b} \in \mathbf{R}-\left\{\frac{4}{3}\right\}$. If the line L also passes through the point $\displaystyle (1,1)$ and touches the circle $\displaystyle 17\left(x^2+y^2\right)=16$, then the eccentricity of the ellipse $\displaystyle \frac{x^2}{5}+\frac{y^2}{\mathrm{~b}^2}=1$ is :
Official answer
(2)
$\displaystyle \sqrt{\frac{3}{5}}$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.