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Equation of a plane at a distance \(\sqrt{\frac{2}{21}}\) from the origin, which contains the line of intersection of th…

Q1

Equation of a plane at a distance \(\sqrt{\frac{2}{21}}\) from the origin, which contains the line of intersection of the planes \(x-y-z-1\) \(=0\) and \(2 x+y-3 z+4=0\), is:


[JEE Main 2021, 27 Aug (Shift 1)]

a

\(3 x-4 z+3=0\)

b

\(\vec{r} \cdot(3 \hat{i}+7 \hat{j}+3 \hat{k})=7\)

c

\(4 x-y-5 z+2=0\)

d

\(-x+2 y+2 z-3=0\)

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