If the points `(2-x, 2, 2), (2, 2-y, 2) and (2, 2, 2-z)` are coplanar then prove `2/x+2/y+2/z=1`

If the points (2-x,2,2),(2,2-y,2) and (2,2,2-z) are coplanar then prove that (2)/(x)+(2)/(y)+(2)/(z)=1 .

The points A(2-x,2,2), B(2,2-y,2), C(2,2,2-z) and D(1,1,1) are coplanar, then locus of P(x,y,z) is

The points A(2-x,2,2), B(2,2-y,2), C(2,2,2-z) and D(1,1,1) are coplanar, then locus of P(x,y,z) is

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

Prove that : |{:(x-y-z,2x,2x),(2y,y-z-x,2y),(2z,2z,z-x-y):}|

If z=x+iy and |2z-1| =|z-2|then prove that x^2+y^2=1

The lines (x-1)/(2)=(y)/(-1)=(z)/(2) and x-y+z-2=0=lambda x+3z+5 are coplanar for lambda