Question

The equation of the plane passing through (3, 1, 2) and making equal intercepts on the coordinate axes is _______.

Options

• x + y + z = 4

• x + y + z = 5

• x + y + z = 6

• x + y + z = 7

Answer 1

The equation of the plane passing through (3, 1, 2) and making equal intercepts on the coordinate axes is x + y + z = 6.

Explanation:

Equation of a plane making equal intercepts on co-ordinate axes is x + y + z = k

Since this plane passes through (3, 1, 2),

3 + 1 + 2 = k

⇒ k = 6

∴ Equation of the plane is x + y + z = 6