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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=3B. y+z=6C. y+z=-3D. None of these |
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Answer» Correct Answer - 2 `A(0,1,2),B(-1,2,1),C(1,2,1)& D(u,v,w)` (volume of tetralfhedrom ABCD) `|(1)/(6)[overset(rarr)(AB" ")overset(rarr)(AC" ")overset(rarr)(AD" ")]=1` cubic units `=|{:(-1,1,-1),(" "1,1,-1),(u-0,v-1,w-2):}|` `rArr{:{(y-1+z-2=+-3),(y+z=6 or y+z=0):}` |
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