MHT CET 2023 Mathematics question

The equation of the plane through (-1, 1, 2) whose normal makes equal acute angles with co-ordinate axes is

(A)x + y + z - 3 = 0
(B)x + y + z - 2 = 0Correct
(C)x + y - z - 2 = 0
(D)x - y + z - 3 = 0

Answer: (B)

Solution

A normal making equal acute angles with the axes has direction cosines (all positive), so its direction ratios are . The plane is ; passing through gives . So the plane is

See the full step-by-step solution

Create a free account to read the complete working, and practise questions like this in a timed test.

Create a free account

Question ID VK-097480