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Mathematics · 2016

JEE Main · 9 April 2016, Shift 1 · Q84

The distance of the point (1, -2, 4) from the plane passing through the point (1, 2, 2) and perpendicular to the planes x-y+2 z=3 and 2 x-2 y+z+12=0,…

The distance of the point ($\displaystyle 1$, -$\displaystyle 2$, $\displaystyle 4$) from the plane passing through the point ($\displaystyle 1$, $\displaystyle 2$, $\displaystyle 2$) and perpendicular to the planes $\displaystyle x-y+2 z=3$ and $\displaystyle 2 x-2 y+z+12=0$, is :
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