Home
Class 12
MATHS
The planes 2x - y + 4z = 5 and 5x - 2....

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

Text Solution

Verified by Experts

`P_1=2x-y+4z=5`
`P_2=5x-2.5y+10z=6`
`2/5-1/-2.5=4/10`
these are same ratios
so,`P_1`is parallel to `P_2`
Promotional Banner

Similar Questions

Explore conceptually related problems

What is basic relation between these planes: 2x -y + 4z = 5 and 5x - 2.5y + 10z = 6

The planes: 2x y + 4z = 5 a n d 5x 2. 5 y + 10 z = 6 are(A) Perpendicular (B) Parallel(C) intersect y-axis (D) passes through (0,0,5/4)

Find the distance between the planes 2x – y + 2z = 5 and 5x – 2.5y + 5z = 20 .

Find the angle between the two planes 3x - 6y + 2z = 7 and 2x + 2y-2z =5 .

Find the equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5, which is perpendicular to the plane x - y + z = 0.

Find the equation of the plane through the point (-1,-1, 2) and perpendicular to the planes 3x + 2y - 3z = 1 and 5x - 4y + z = 5.

The equation of the line passing through (1, 2, 3) and parallel to the planes x-y + 2z = 5 and 3x + y + z = 6 is.

The planes 2x + 5y + 3z = 0, x-y+4z = 2 and7y-5z + 4 = 0

Find the equation of the plane passing through the line of intersection of the planes 2x + y - Z = 3,5x - 3y + 4z + 9 = 0 and parallel to the line (x-1)/2=(y-3)/4=(z-5)/5

An agle between the plane, x + y+ z =5 andthe line of intersection of the planes, 3x + 4y + z -1=0 and 5x +8y + 2z+ 14=0, is :