Home
Class 12
MATHS
Consider the planes 3x-6y-2z=15a n d2x+y...

Consider the planes `3x-6y-2z=15a n d2x+y-2z=5.` Statement 1:The parametric equations of the line intersection of the given planes are `x=3+14 t ,y=2t ,z=15 tdot` Statement 2: The vector `14 hat i+2 hat j+15 hat k` is parallel to the line of intersection of the given planes.

A

Statement-I is true, Statement II is also true, Statement-II is the correct explanation of Statement-I.

B

Statement-I is true, Statement-II is also true, Statement-II is not the correct explanation of Statement-I.

C

Statement-I is true, Statement-II is false.

D

Statement-I is false, Statement -II is true.

Text Solution

Verified by Experts

The correct Answer is:
(d)
Promotional Banner

Similar Questions

Explore conceptually related problems

The direction of the line of instersection of the planes 3x-z = 5 and 2y + x+z = 3 is ....

The direction of the line of intersection of the planes 2x + 3y + z-1 = 0 and x+y-z-7 = 0 is ..............

The equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4 = 0 and parallel to x-axis is

Consider the lines x=y=z and line 2x+y+z-1=0=3x+y+2z-2 , then

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 direction ratios of intersecting line of two planes 2 x + y + z = 1 and 3x + 2y - z = 3

Find the equation of the plane through the intersection of the planes 3x – y + 2z – 4 = 0 and x + y + z- 2 = 0 and the point (2, 2, 1).

Reduce the equation of line x-y+2z=5a d n3x+y+z=6 in symmetrical form. Or Find the line of intersection of planes x-y+2z=5a n d3x+y+z=6.

The equation of the line passing through (1, 1, 1) and perpendicular to the line of intersection of the planes x+2y-4z=0 and 2x-y+2z=0 is

Find the equation of the image of the plane x-2y+2z-3=0 in plane x+y+z-1=0.