InterviewSolution
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InterviewSolution
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If the volume oftetrahedron `A B C D`is 1 cubic units, where `A(0,1,2),B(-1,2,1)a n dC(1,2,1),`then the locus of point `D`isa. `x+y-z=3`b. `y+z=6`c. `y+z=0`d. `y+z=-3`A. `x+y-z=0`B. `y+x=6`C. `y+z=0`D. `y+z=-3` |
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Answer» Correct Answer - b, c Volume of tetrehedron `ABCD= (1)/(6) |[vec(AB)vec(AC)vec(AD)]|= 1` cubic units. `rArr" " |{:(-1,,1,,-1),(1,,1,,-1),(x-0,,y-1,,z-2):}|= pm 6` or `" "-2(y-1)-2(z-2)= pm 6` or `" "y-1+z-2= pm 3` `rArr" "y+z=6 or y+z=0` |
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