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If (2 a - 1) ^(2) + ( 4b - 3) ^(2) + ( ...

If ` (2 a - 1) ^(2) + ( 4b - 3) ^(2) + ( 4 c + 5) ^(2) = 0 ` then the value of `(a^(3) + b^(3) + c^(3) - 3abc)/( a^(2) + b^(2) + c^(2))` is

A

`1 (3)/(8)`

B

` 2 (3)/(8)`

C

`3 (3)/(8)`

D

0

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The correct Answer is:
D
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Knowledge Check

  • If (2a- 1) ^(2) + (4b -3) ^(2) + (4c + 5) ^(2) = 0, then the value of (a ^(3) +b ^(3) + c ^(3) -3abc)/(a ^(2) + b ^(2) + c ^(2)) is :

    A
    `2 (3)/(8)`
    B
    `0`
    C
    `3 (6)/(8)`
    D
    `1 (3)/(8)`

  • If ( 2 a - 3) ^(2) + ( 3 b + 4 )^(2) + ( 6 c + 1)^(3) = 0 then the value of (a^(3) + b^(3) + c^(3) - 3 abc)/( a^(2) + b^(2) + c^(2)) + 3 is

    A
    abc + 3
    B
    6
    C
    0
    D
    3

  • If (2a - 3) ^(2) + (3b+ 4) ^(2) + (6c +1) ^(2) =0, then the value of (a ^(3) + b ^(3) + c ^(3) - 3 abc)/(a ^(2) + b ^(2) + c ^(2)) + 3 is :

    A
    `abc + 3`
    B
    6
    C
    0
    D
    3

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