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Q.

The number of solutions of the systemx−y+z=0 ,x+2y−z=0 ,2x+y+3z=0  is

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a

3

b

2

c

1

d

0

answer is C.

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Detailed Solution

1−1112−1213 =1(6+1)+1(3+2)+(1−4)                           =1(7)+1(5)+1(−3)=7+5−3=9≠0
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