The equation of the plane passing through the points (2, 1, -1), (1, 1, 1), (3, 3, 0) is

Question

The equation of the plane passing through the points (2, 1, -1), (1, 1, 1), (3, 3, 0) is (A) 4x - 3y + 2z - 3 = 0 (B) 4x - 4z + 1 = 0 (C) 4x + 3y - 2z + 8 = 0 (D) 4x - 3y + 5z - 16 = 0

Tardigrade Admin · Accepted Answer

i.e. , 4 x - 3 y + 2z - 3 = 0 [∴ (2, 1, -1), (1, 1, 1), (3, 3, 0) do not satisfy (b), (c), (d)]

Q. The equation of the plane passing through the points $(2, 1, - 1), (1, 1, 1), (3, 3, 0)$ is

$4 x - 3 y + 2 z - 3 = 0$

$4 x - 4 z + 1 = 0$

$4 x + 3 y - 2 z + 8 = 0$

$4 x - 3 y + 5 z - 16 = 0$

$i . e ., 4 x - 3 y + 2 z - 3$ = 0
$[∴ (2, 1, - 1), (1, 1, 1), (3, 3, 0)$ do not satisfy $(b), (c), (d)]$

Q. The equation of the plane passing through the points (2,1,−1),(1,1,1),(3,3,0) is

4x−3y+2z−3=0

4x−4z+1=0

4x+3y−2z+8=0

4x−3y+5z−16=0