Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:

The planes $2 x-y+4 z=5$ and $5 x-\frac{5}{2} y+10 z=6$ are

Options:

perpendicular

intersecting at an angle $\frac{\pi}{4}$

parallel

passing through $\left(0,0, \frac{5}{2}\right)$

Correct Answer:

parallel

Explanation:

The correct answer is Option (3) → parallel

$P_1:2 x-y+4 z=5$

$P_2:5 x-\frac{5}{2} y+10 z=6$

here $\frac{2}{5}=\frac{-1}{-\frac{5}{2}}=\frac{4}{10}⇒P_1||P_2$