Mathematics · 2021
JEE Main · 17 March 2021, Shift 1 · Q87
If the equation of the plane passing through the line of intersection of the planes 2 x-7 y+4 z-3=0,3 x-5 y+4 z+11=0 and the point ( -2,1,3 ) is ax +…
If the equation of the plane passing through the line of intersection of the planes $\displaystyle 2 x-7 y+4 z-3=0,3 x-5 y+4 z+11=0$ and the point ( $\displaystyle -2,1,3$ ) is $\displaystyle \mathrm{ax}+\mathrm{b} y+\mathrm{c} z-7=0$, then the value of $\displaystyle 2 \mathrm{a}+\mathrm{b}+\mathrm{c}-7$ is \_\_\_\_.
Official answer
4
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.