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Mathematics · 2023

JEE Main · 29 January 2023, Shift 2 · Q74

If the lines (x-1)/1=(y-2)/2=(z+3)/1 and (x-a)/2=(y+2)/3=(z-3)/1 intersect at the point P, then the distance of the point P from the plane z=a is:

If the lines $\displaystyle \frac{x-1}{1}=\frac{y-2}{2}=\frac{z+3}{1}$ and $\displaystyle \frac{x-a}{2}=\frac{y+2}{3}=\frac{z-3}{1}$ intersect at the point P , then the distance of the point P from the plane $\displaystyle z=a$ is :
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.