Question

The equation of the plane which is parallel to y-axis and cuts off intercepts of length 2 and 3 from x-axis and z-axis is

• A. $3 x + 2 z = 1$
• B. $3 x + 2 z = 6$
• C. $2 x + 3 z = 6$
• D. $3 x + 2 z = 0$

Answer 1

Answer: (C)

$2 x + 3 z = 6$

Answer 2

Equation of plane parallel to y-axis is, $a x + b z + 1 = 0$

Also $2 a + 1 = 0 \Rightarrow a = - \frac { 1 } { 2 }$ and $3 b + 1 = 0 \Rightarrow b = - \frac { 1 } { 3 }$

$\therefore 3 x + 2 z = 6$.

Aliter : Equation of plane $\frac { x } { 2 } + \frac { z } { 3 } = 1 \Rightarrow 3 x + 2 z = 6$.