Question

The equation of the plane, which bisects the line joining the points (1, 2, 3) and (3, 4, 5) at right angles is ______ 

Options

• x + y + z = 0

• x + y - z = 9

• x + y + z = 9

• x + y - z + 9 = 0

Answer 1

The equation of the plane, which bisects the line joining the points (1, 2, 3) and (3, 4, 5) at right angles is x + y + z = 9.

Explanation:

M is the midpoint.

M = (2, 3, 4)

d.r.s. of AB : 2, 2, 2

Equation of plane is

2(x - 2) + 2(y - 3) + 2(z - 4) = 0

⇒ x + y + z = 9