Question

The equation of the plane passing through the intersection of the planes $x + y + z = 6$ and $2x + 3y + 4z + 5 = 0$ the point

(1, 1, 1), is

• A. $20x + 23y + 26z - 69 = 0$
• B. $20x + 23y + 26z + 69 = 0$
• C. $23x + 20y + 26z - 69 = 0$
• D. None of these

Answer 1

Answer: (A)

$20x + 23y + 26z - 69 = 0$

Answer 2

$( x + y + z - 6 ) + \lambda ( 2 x + 3 y + 4 z + 5 ) = 0 \Rightarrow \lambda = \frac { 3 } { 14 }$

$\Rightarrow 20 x + 23 y + 26 z - 69 = 0$ .