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If the centroid of a triangle with verti...

If the centroid of a triangle with vertices `(alpha, 1, 3), (-2, beta, -5) and (4, 7, gamma)` is the origin then `alpha beta gamma` is equal to …..........

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If origin is the centroid of /_\ABC with the vertices A(alpha, 1,3),B(-2,beta, -5) and C(4,7,gamma) find the value of alpha, beta,gamma

The origin is the centroid of /_\ABC with the vertices A(alpha, 1, 3),B(-2, beta, -5) and C(4,7,gamma) find the values of alpha, beta, gamma .

Knowledge Check

  • If alpha,beta, gamma are the real roots of the equation x^(3)-3ax^(2)+3bx-1=0 , then the centroid of the triangle whose vertices are the points (alpha, 1/(alpha)), (beta, 1/(beta)) and (gamma,1/(gamma)) is the point

    A
    `(a,b)`
    B
    `(a,-b)`
    C
    `(-a,b)`
    D
    `(-a,-b)`

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