A) P and R are perpendicular
B) Q and R are perpendicular
C) P and g are parallel
D) P and R are parallel
Correct Answer: D
Solution :
Given planes are \[P:x+y-2z+7=0\] \[Q:x+y+2z+2=0\] and\[R:3x+3y-6z-11=0\] Consider Plane P and R. Here\[{{a}_{1}}=1,{{b}_{1}}=1,{{c}_{1}}=-2\]and\[{{a}_{2}}=3,{{b}_{2}}=3,{{c}_{2}}=-6\] Since,\[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}=\frac{{{c}_{1}}}{{{c}_{2}}}=\frac{1}{3}\] therefore P and R are parallel.
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