Question

The equation of the plane through (1, 2, -3) and (2, -2, 1) and parallel to the X-axis is ______ 

पर्याय

• y - z + 1 = 0

• y - z - 1 = 0

• y + z - 1 = 0

• y + z + 1 = 0

Answer 1

The equation of the plane through (1, 2, -3) and (2, -2, 1) and parallel to the X-axis is y + z + 1 = 0

Explanation:

The equation of the plane passing through (1, 2, -3) and (2, -2, 1) and parallel to the X-axis is

`|(x - 1, y - 2, z + 3), (2 - 1, -2 - 2, 1 + 3), (1, 0, 0)| = 0`

⇒ (y- 2)(4) + (z + 3)(4) = 0

⇒ y + z + 1 = 0