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The reflection of the plane 2x - 3y + 4z...

The reflection of the plane `2x - 3y + 4z - 3 = 0` in the plane `x - y + z-3 = 0` is the plane

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

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

Knowledge Check

  • The plane x + 3y + 13 = 0 passes through the line of intersection of the planes 2x - 8y + 4z = p and 3x - 5y + 4z + 10 = 0 If the plane is perpendicular to the plane , 3x - y - 2z - 4 = 0 then the value of p is equal to

    A
    2
    B
    5
    C
    9
    D
    3

  • The equation of the plane through the line of intersection of the planes 2x + 3y + 4z - 7 =0, x + y +z – 1 = 0 and perpendicular to the plane x – 5y + 3z – 2 = 0) is

    A
    7x - y - 6z - 17 = 0
    B
    x - y - 6z - 27 = 0
    C
    x + 2y + 3z – 6=0
    D
    none

  • The plane x + 3y + 13 = 0 passes through the line of intersection of the planes 2x - 8y + 4z = p and 3x - 5y + 4z + 10 =0 . If the plane is perpendicular to the plane 3x - y - 2z - 4 = 0 , then the value of p is equal to

    A
    2
    B
    5
    C
    9
    D
    3

    • Similar Questions

    Explore conceptually related problems

    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.

    Projection of the line x+y+z-3=0=2x+3y+4z-6 on the plane z=0 is

    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

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

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

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