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

(A) Perpendicular (B) Parallel (C) intersect y-axis

(C) passes through

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Solution

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.

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Similar questions

Q. 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

Choose the correct answer in Question
The planes 2x - y + 4z = 5 and 5x - 2.5y + 10z = 6 are
(a) perpendicular
(b) parallel
(c) intersect along Y-axis
(d) passes through $(0, 0, \frac{5}{4})$

Q. The planes:

2 x - y + 4 z = 5

and

5 x - 2.5 y + 10 z = 6

are

Q. The planes

2 x - y + 4 z = 5

and

5 x - 2.5 y + 10 z = 6

are

Q. The equation of the plane passing through the line of intersection of planes

2 x + y - z = 3

and

5 x - 3 y + 4 z + 9 = 0

and parallel to the line

\frac{x - 1}{2} = \frac{y - 3}{4} = \frac{z - 5}{5}

is ?

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The planes: 2x − y + 4z = 5 and 5x − 2.5y + 10z = 6 are (A) Perpendicular (B) Parallel (C) intersect y-axis (C) passes through

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.

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

(A) Perpendicular (B) Parallel (C) intersect y-axis

(C) passes through

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.