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If (1, 1, 1) is the centroid of the tria...

If (1, 1, 1) is the centroid of the triangle with vertices (2a, 3, 7), (-4, 3b, -8) and (8, 4, 6c),
find a, b, c.

Text Solution

Verified by Experts

The correct Answer is:
`a =(-1)/2, b=(-4)/3, c=2/3`
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Knowledge Check

  • lf origin is centroid of triangle with vertices (a, 1 , 3), (- 2, b, -5) and (4, 7, c), then (a, b, c) equiv

    A
    (2, 2,8)
    B
    (- 2,8,2)
    C
    (- 2,-8,- 2)
    D
    (-2, -8,2)

  • If origin is the centroid of the triangle with vertices P(3a, 3, 6), Q (-4, 2b, -8) and R(8, 12, 2c), then the value of a, b, and c are

    A
    `4/3, 1, 2`
    B
    `-4/3,-15/2,1`
    C
    `3, 2, -4/5`
    D
    `4/3, 15/2, 1`

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