Question

A plane meets the coordinate axes at A,B,C such that the centroid of the triangle ABC is at G (a, b, c). The equation of the plane ABC is-

• A. = 1
• B. $\frac { \mathrm { x } } { \mathrm { a } } + \frac { \mathrm { y } } { \mathrm { b } } + \frac { \mathrm { z } } { \mathrm { c } } = \frac { 1 } { 3 }$
• C.
• D. None of these

Answer 1

Answer: (C)

Answer 2

Let A, B, C be the points (a, 0, 0) (0, b, 0) (0, 0, g) so that

$\frac { \alpha } { 3 }$ = a, $\frac { \beta } { 3 }$= b, $\frac { \gamma } { 3 }$= c.

The equation of the plane ABC is

= 1 Ž = 1.