The planes $2x-y+4z=5$ and \(5x-2.5y+1

CUET Preparation Today

Start Free Mocks

Home Questions EYS82N76QP

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:

The planes $2x-y+4z=5$ and $5x-2.5y+10z=6$ are

Options:

perpendicular

parallel

Intersect $y-$ axis

passes through

Correct Answer:

parallel

Explanation:

Planes are

$2x-y+4z=5$......(1)

$5x-2.5y+10z=6$......(2)

Multiply equation (2) by 2

$⇒10x-5y+20z=12$

Divide this equation by 5

$⇒2x-y+4z=\frac{12}{5}$

Now this equation parallel to (1)