Mathematics · 2020
JEE Main · 5 September 2020, Shift 2 · Q67
If for some α ∈ R, the lines L_1: (x+1)/2=(y-2)/-1=(z-1)/1 and L_2: (x+2)/(α)=(y+1)/(5-α)=(z+1)/1 are coplanar, then the line L_2 passes through the…
If for some $\displaystyle \alpha \in \mathbf{R}$, the lines
$\displaystyle \mathrm{L}_1: \frac{x+1}{2}=\frac{y-2}{-1}=\frac{z-1}{1}$ and
$\displaystyle \mathrm{L}_2: \frac{x+2}{\alpha}=\frac{y+1}{5-\alpha}=\frac{z+1}{1}$ are coplanar, then the line $\displaystyle \mathrm{L}_2$ passes through the point :
Official answer
(3)
($\displaystyle 2$, -$\displaystyle 10$, -$\displaystyle 2$)
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.