#### Question

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

(A) Perpendicular

(B) Parallel

(C) intersect *y*-axis

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

#### Solution

The equations of the planes are

2*x *− *y* + 4*z* = 5 … (1)

5*x* − 2.5*y* + 10*z* = 6 … (2)

It can be seen that,

Therefore, the given planes are parallel.

Hence, the correct answer is B.

Is there an error in this question or solution?

Solution The Planes: 2x − Y + 4z = 5 and 5x − 2.5y + 10z = 6 Are Concept: Plane - Equation of a Plane in Normal Form.