Question

The equation of the plane passing through (2, 3, 4) and parallel to the plane $5x - 6y + 7z = 3$

• A. $5x - 6y + 7z + 20 = 0$
• B. $5x - 6y + 7z - 20 = 0$
• C. $- 5x + 6y - 7z + 3 = 0$
• D. $5x + 6y + 7z + 3 = 0$

Answer 1

Answer: (B)

$5x - 6y + 7z - 20 = 0$

Answer 2

Equation of the plane passing through (2, 3, 4) is, $A ( x - 2 ) + B ( y - 3 ) + C ( z - 4 ) = 0$ …..(i)

Plane (i) is parallel to $5 x - 6 y + 7 z = 3$

$\therefore$ $5 ( x - 2 ) - 6 ( y - 3 ) + 7 ( z - 4 ) = 0$

$\therefore$ $5 x - 6 y + 7 z - 20 = 0$ is the required plane.