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Equation of the plane which bisects the ...

Equation of the plane which bisects the join of the points A(3,-1,4) and B(-3,5,2) at right angles is

A

3x-3y+z+3=0

B

3x-3y-z+3=0

C

3x+3y+z=3

D

3x+3y-z=3

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The equation of the plane, which bisects the line joining the points (1, 2, 3) and (3, 4, 5) at right angles, is

    A
    `x+y+z=0`
    B
    `x+y-z=0`
    C
    `x+y+z=9`
    D
    `x+y-z+9=0`

  • Equations of plane which bisects the join of A(3,7,12) and B(-5,-3,-2) at right angles is

    A
    4x+5y+7z=41
    B
    x=3, y=-3
    C
    x=y+z
    D
    4x-3y+2z=13

  • The intercepts made on the x, y and z axes, by the plane which bisects the line joining the points (1,2,3) and (-3, 4,5) at right angles, are a,b and c respectively, then the ordered triplet (a,b,c) is

    A
    `((-9)/2 , 9, 9)`
    B
    `(9/2,9,9)`
    C
    `(9, (-9)/2, 9)`
    D
    `(9, 9/2, 9)`

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