Question

The planes: 2x − y + 4z = 5 and 5x − 2.5y + 10z = 6 are

(A) Perpendicular

(B) Parallel

(C) intersect y-axis

(C) passes through `(0,0,5/4)`

Answer 1

The equations of the planes are

2x − y + 4z = 5 … (1)

5x − 2.5y + 10z = 6 … (2)

It can be seen that,

Therefore, the given planes are parallel.

Hence, the correct answer is B.