Mathematics · 2026
JEE Main · 4 April 2026, Shift 1 · Q14
A line with direction ratios 1,-1,2 intersects the lines x/2=y/3=(z+1)/3 and (x+1)/-1=(y-2)/1=z/4 at the points P and Q, respectively. If the length…
A line with direction ratios $\displaystyle 1,-1,2$ intersects the lines $\displaystyle \frac{x}{2}=\frac{y}{3}=\frac{z+1}{3}$ and $\displaystyle \frac{x+1}{-1}=\frac{y-2}{1}=\frac{z}{4}$ at the points P and Q , respectively. If the length of the line segment PQ is $\displaystyle \alpha$, then $\displaystyle 225 \alpha^2$ is equal to:
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 1014$
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.