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A plane meets the coordinate axes at P, ...

A plane meets the coordinate axes at P, Q and R such that the centroid of the triangle is (3,3,3). The equation of he plane is (A) `x+y+z=9` (B) `x+y+z=1` (C) `x+y+z=3` (D) `3x+3y+3z=1`

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Knowledge Check

  • The plane 2x+3y+4z=12 meets the coordinate axes in A,B and C. The centroid of triangleABC is

    A
    `(2,3,4)
    B
    (6,4,3)
    C
    `(2,4/3,1)`
    D
    none of these

  • A plane meets the coordinate axes in A,B,C such that the centroid of triangle ABC is the point (p,q,r) . If the equation of the plane is x/p+y/q+z/r=k then k=

    A
    1
    B
    2
    C
    3
    D
    none of these

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    A
    (2, 3, 4)
    B
    `((1)/(2), (1)/(3), (1)/(4))`
    C
    `((1)/(6), (1)/(9), (1)/(12))`
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