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If x = a ( b - c) , y = b ( c - a) z =...

If ` x = a ( b - c) , y = b ( c - a) z = c ( a - b)` then the value of `(( x)/( a))^(3) + ((y)/( b))^(3) + ((z)/( c))^(3)` is

A

`(xyz)/(3abc)`

B

0

C

`(3 xyz)/( abc)`

D

`(xyz)/(abc)`

Text Solution

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The correct Answer is:
C
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