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Let a,b,c in R and the system of equatio...

Let `a,b,c in R` and the system of equations `(1-a)x+y+z=0,x+(1-b)y+z=0,x+y+(1-c)z=0` has infinitely many solutions then the minimum value of 'abc' is

A

`3 sqrt(3)`

B

9

C

27

D

3

Text Solution

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The correct Answer is:
C
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