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Check whether the line (x-1)/(4)=(y+2)/(...

Check whether the line `(x-1)/(4)=(y+2)/(5)=(z-7)/(6)` lines in the plane `3x+2y+z=6`.

Answer

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Verify whether the line (x-3)/(-4)=(y-4)/(-7)=(z+3)/(12) lies in the plane 5x – y +z = 8.

Find the angle between the line (x-2)/(3)=(y-1)/(-1)=(z-3)/(2)" and the plane "3x+4y+z+5=0.

Knowledge Check

  • For the line (x-6)/(6)=(y+4)/(4)=(z-4)/(8),

    A
    `(6,-4,4)` lies on the line
    B
    `(6,4,8)` are its direction ratios
    C
    6,4,8 are its direction cosines
    D
    3,2,4 are its direction ratios

    • Similar Questions

    Explore conceptually related problems

    Find the equation of the projection of the line (x-1)/2=(y+1)/(-1)=(z-3)/4 on the plane x+2y+z=9.

    Find the distance between the line (x+1)/(-3)=(y-3)/2=(z-2)/1 and the plane x+y+z+3=0.

    Find the angle between the line (x+1)/2=y/3 =(z-3)/6 and the plane 10x+2y-11z=3.

    The projection of the line (x+1)/(-1)=y/2=(z-1)/3 on the plane x-2y+z=6 is the line of intersection of this plane with the plane a. 2x+y+2=0 b. 3x+y-z=2 c. 2x-3y+8z=3 d. none of these

    Show that the disease of the point of intersection of the line (x-2)/3=(y+1)/4=(z-2)/12 and the plane (x-y+z=5) from the point (-1,-5,-10) is 13 units.

    Show that the lines (x-1)/(4)=(2-y)/(6)=(z-4)/(12) and (x-3)/(-2)=(y-3)/(-2)=(5-z)/(6) are parallel.

    Find the point of intersection of the lines (x - 1)/(2) = (y - 2)/(3) = (z - 3)/(4) and (x - 4)/(5) = (y - 1)/(2) = z.

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