Question

The equation of the plane which bisects the line joining

(2, 3, 4) and (6, 7, 8) is

• A. $x + y + z - 15 = 0$
• B. $x - y + z - 15 = 0$
• C. $x - y - z - 15 = 0$
• D. $x + y + z + 15 = 0$

Answer 1

Answer: (A)

$x + y + z - 15 = 0$

Answer 2

Mid-point of (2,3,4) and (6, 7, 8) is (4, 5, 6). This lies on $x + y + z - 15 = 0$ Hence this is the required plane.