Mathematics · 2022
JEE Main · 24 June 2022, Shift 1 · Q24
Let a line having direction ratios 1,-4,2 intersect the lines (x-7)/3=(y-1)/-1=(z+2)/1 and x/2=(y-7)/3=z/1 at the points A and B. Then ( AB )^2 is…
Let a line having direction ratios $\displaystyle 1,-4,2$ intersect the lines
$\displaystyle \frac{x-7}{3}=\frac{y-1}{-1}=\frac{z+2}{1}$ and $\displaystyle \frac{x}{2}=\frac{y-7}{3}=\frac{z}{1}$ at the points A and B. Then $\displaystyle (\mathrm{AB})^2$ is equal to
\_\_\_\_.
Official answer
84
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.