If the volume of tetrahedron `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` is a. `x+y-z=3` b. `y+z=6` c. `y+z=0` d. `y+z=-3`

If the volume of tetrahedron A B C D is 1 cubic units, where A(0,1,2),B(-1,2,1) and C(1,2,1), then the locus of point D is a. x+y-z=3 b. y+z=6 c. y+z=0 d. y+z=-3

If the volume of tetrahedron ABCD is 1 cubic units,where A(0,1,2),B(-1,2,1) and C(1,2,1) then the locus of point D is a.x+y-z=3 b.y+z=6 c.y+z=0 d.y+z=-3

The locus of z such that |(1+iz)/(z+i)|=1 is a) y-x=0 b) y+x=0 c) y=0 d) xy=1

If the origin and the point P(2,3,4),Q(,1,2,3)R (x,y,z) are coplanar then: a) x-2y-z=0 b) x+2y+z=0 c) x-2y+z=0 d) 2x-2y+z=0

The plane which passes through the point (3,2,0) and the line (x-3)/1=(y-6)/5=(z-4)/4 is a. x-y+z=1 b. x+y+z=5 c. x+2y-z=1 d. 2x-y+z=5

If x!=y!=za n d|[x,x^2, 1+x^3],[y ,y^2 ,1+y^3],[z, z^2, 1+z^3]|=0, then the value of x y z is a. 1 b. 2 c. -1 d. 2

If x!=y!=za n d|[x,x^2, 1+x^3],[y ,y^2 ,1+y^3],[z, z^2, 1+z^3]|=0, then the value of x y z is a.1 b. 2 c. -1 d. 2

If x!=y!=za n d|[x,x^2, 1+x^3],[y ,y^2 ,1+y^3],[z, z^2, 1+z^3]|=0, then the value of x y z is a. 1 b. 2 c. -1 d. 2

If x!=y!=za n d|[x,x^2, 1+x^3],[y ,y^2 ,1+y^3],[z, z^2, 1+z^3]|=0, then the value of x y z is a. 1 b. 2 c. -1 d. 2

The equation of the plane which passes through the point of intersection of lines ""(x-1)/3=(y-2)/1=(z-3)/2"","and"(x-3)/1=(y-1)/2=(z-2)/3 and at greatest distance from point (0,0,0) is a. 4x+3y+5z=25 b. 4x+3y=5z=50 c. 3x+4y+5z=49 d. x+7y-5z=2