InterviewSolution
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InterviewSolution
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Consider the plane `pi:x+y-2z=3` and two points `P(2,1,6)` and `Q(6,5,-2)`. Statement 1: PQ is parallel to the normal to the plane. Statement 2: `Q` is the image of point `P` in he plane `pi`A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1.B. Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation for Statement-1.C. Statement-1 is True, Statement-2 is False.D. Statement-1 is False, Statement-2 is True. |
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Answer» Correct Answer - B A vector normal to the plane `x+y-2z=3` is `vecn=hati+hatj-2hatk` and `vec(PQ)=4hati+4hatk-8hatk` Clearly `vec(PQ)=4vecn`. Therefore PQ is parallel to the normal to the plane `pi`. So statement -1 is true. Let `R` be the mid point of PQ. Then, coordinates of `R` are (4,3,2). Clearly, it lies onthe plane `pi`. So `Q` is the image of `P`. Hence statement -2 is true. |
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