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Mathematics · 2021

JEE Main · 18 March 2021, Shift 1 · Q86

The equation of the planes parallel to the plane x-2 y+2 z-3=0 which are at unit distance from the point (1,2,3) is a x+ b y+ c z+ d =0. If ( b - d…

The equation of the planes parallel to the plane $\displaystyle x-2 y+2 z-3=0$ which are at unit distance from the point $\displaystyle (1,2,3)$ is $\displaystyle \mathrm{a} x+\mathrm{b} y+\mathrm{c} z+\mathrm{d}=0$. If $\displaystyle (\mathrm{b}-\mathrm{d})=\mathrm{K}(\mathrm{c}-\mathrm{a})$, then the positive value of K is \_\_\_\_.
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