A Plane cuts the coordinate axes X, Y, Z at A, B, C respectively such that the centroid of the Δ ABC is (6,6,3). Then the equation of that plane is

Question

A Plane cuts the coordinate axes X, Y, Z at A, B, C respectively such that the centroid of the Δ ABC is (6,6,3). Then the equation of that plane is (A) x + y + z - 6 = 0 (B) x + 2y + z - 18 = 0  (C) 2x + y + z - 18 = 0  (D) x +y + 2z - 18 = 0

Tardigrade Admin · Accepted Answer

Correct answer is (d) x +y + 2z - 18 = 0

Q. A Plane cuts the coordinate axes $X, Y, Z$ at $A, B, C$ respectively such that the centroid of the $Δ A BC$ is (6,6,3). Then the equation of that plane is

$x + y + z - 6 = 0$

$x + 2 y + z - 18 = 0$

$2 x + y + z - 18 = 0$

$x + y + 2 z - 18 = 0$

Correct answer is (d) $x + y + 2 z - 18 = 0$

Q. A Plane cuts the coordinate axes X,Y,Z at A,B,C respectively such that the centroid of the ΔABC is (6,6,3). Then the equation of that plane is

x+y+z−6=0

x+2y+z−18=0

2x+y+z−18=0

x+y+2z−18=0