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If the centroid of the triangle formed w...

If the centroid of the triangle formed with (a , b) , (b , c) and (c , a) is O(0 , 0) then `a^(3) +b^(3) + c^(3)=` .....

A

0

B

abc

C

`a+b+c`

D

3abc

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The area of the triangle formed by ( a , b + c ) , (b , c +a) and ( c , a + b) is

    A
    2 ( a + b + c)
    B
    abc
    C
    0
    D
    a + b + c

  • find the centroid of the triangle (-a, -b), (a,b), (a^(3), ab)

    A
    `a^3/3,(ab)/3`
    B
    `(a+a^2)/3,(ab)/3`
    C
    0
    D
    `-a^3/3,(-ab)/3`

  • If the centroid of the triangle formed by (a,1,3) ,(-2,b,-5) and (4,7,c) is the origin then (a,b,c) =

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

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