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The equation of the plane through the in...

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

A

y-3z+6 = 0

B

3y-z+6=0

C

y+3z+6=0

D

3y-2z+6=0

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Knowledge Check

  • The equation of plane through the intersection of the planes x + 2y + 3z - 4 = 0 and 2x + y - z + 5 = 0 and perpendicular to the plane 5x + 3y + 6z = 8, is

    A
    `51x+15y-50z-173=0`
    B
    `51x-15y+50z+173=0`
    C
    `51x+15y-50z+173=0`
    D
    `51x-15y-50z-173=0`

  • The equation of the plane passing through the intersection of the planes 2x-5y+z=3 and x+y+4z=5 and parallel to the plane x+3y+6z=1 is x+3y+6z=k , where k is

    A
    5
    B
    3
    C
    7
    D
    2

  • The equation of plane passing through the line of intersection of planes x+y+z-2=0,2x+3y+z-4=0 and parallel to X-axis is

    A
    `x-y=0`
    B
    `y-2z=5`
    C
    `y-z=0`
    D
    `x-y=3`

    • Similar Questions

    Explore conceptually related problems

    The plane through the intersection of the planes x + y - z = 1 and 2x + 3y + Z + 4 = 0 and parallel to z-axis also passes through the point (A) (-3,0, -1) (B) (3,3, - 1) (C) (3, 2, 1) (D) (3, -3,0)

    The equation of the plane through the intersection of the planes x-2y+3z +4=0 and 2x - 3y + 4z - 7=0 and the point (1,-1,1) is 9x-13y +17z -39 = 0 .

    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).

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

    Find the equation of the plane passing through the intersection of the planes 2x-3y+z-4=0 and x-y+z+1=0 and perpendicular to the plane x+2y-3z+6=0

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