Mathematics · 2020
JEE Main · 4 September 2020, Shift 1 · Q74
If the equation of a plane P, passing through the intersection of the planes, x+4 y-z+7=0 and 3 x+y+5 z=8 is a x+ b y+6 z=15 for some a, b ∈ R, then…
If the equation of a plane P, passing through the intersection of the planes, $\displaystyle x+4 y-z+7=0$ and $\displaystyle 3 x+y+5 z=8$ is $\displaystyle \mathrm{a} x+\mathrm{b} y+6 z=15$ for some $\displaystyle \mathrm{a}, \mathrm{b} \in \mathbf{R}$, then the distance of the point ($\displaystyle 3$, $\displaystyle 2$, -$\displaystyle 1$) from the plane P is \_\_\_\_.
Official answer
3
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.