Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:

The plane $2x - (1 + λ)y + 3λz = 0 $ passes through the intersection of the planes

Options:

$2x - y = 0 $ and $y + 3z = 0 $

$2x - y = 0 $ and $y - 3z = 0 $

$2x +3z = 0 $ and $y = 0 $

none of these

Correct Answer:

$2x - y = 0 $ and $y - 3z = 0 $

Explanation:

The equation of the given plane can be written in the form (2x - y) + λ(-y + 3z) = 0 which is a plane passing through the intersection of the planes 2x - y = 0 and -y + 3z = 0.