InterviewSolution
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InterviewSolution
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If the origin and the points P(2,3,4), Q(1,2,3) and R(x,y,z) are coplanar, thenA. `x - 2y -z = 0`B. `x+2y + z = 0`C. `x- 2y + z = 0`D. `2x- 2y + z = 0` |
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Answer» Correct Answer - C Let `O(0,0,0)` be the origin. It is given that `O(0,0,0), P(2,3,4), Q(1,2,3)` and `R(x,y,z)` are coplanar. `:. [OR" "OP" "OQ]` `|{:(x-0,y-0,z-0),(2-0,3-0,4-0),(1-0,2-0,3-0):}|=0` `|{:(x,y,z),(2,3,4),(1,2,3):}| = 0` `x(9-8) -y(6-4) +z(4-3) = 0` `rArr x-2y + z = 0` |
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