A) \[\frac{1}{\sqrt{2}}\]
B) 2
C) \[\sqrt{2}\]
D) \[2\sqrt{2}\]
Correct Answer: D
Solution :
Equation of plane\[\bot \] to the planes. x . y + 2z = 3 & 2x . 2y + z + 12 = 0 and passes through (1, 2, 2) is\[\left| \begin{matrix} x-1 & y-2 & z-2 \\ 1 & -1 & 2 \\ 2 & -2 & 1 \\ \end{matrix} \right|=0\] 3(x . 1) + 3(y . 2) = 0 x + y = 3 ..... (1) distance of plane x + y . 3 = 0 from (1, . 2, 4) is\[\left| \frac{1-2-3}{\sqrt{1+1}} \right|=2\sqrt{2}\]
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