Question

The line$\frac{x - 2}{3} = \frac{y - 3}{4} = \frac{z - 4}{5}$is parallel to the plane

• A. $3x + 4y + 5z = 7$
• B. $2x + y - 2z = 0$
• C. $x + y - z = 2$
• D. $2x + 3y + 4z = 0$

Answer 1

Answer: (B)

$2x + y - 2z = 0$

Answer 2

Trick: Since line is parallel to plane if $a l + b m + c n = 0$

$\therefore$ From option (2), $3 ( 2 ) + 4 ( 1 ) + 5 ( - 2 ) = 0$.

Clearly, $2 x + y - 2 z = 0$ is the required plane.