Consider the following system of equatio...

Consider the following system of equations :
`{:(x+2y-3z=a),(2x+6y-11z=b),(x-2y+7z=c","):}`
where a, b and c are real constant. Then the system of eqations :

A

Has a unique solution when 5a = 2b + c

B

Has infinite number of solutions when 5a = 2b + c

C

Has no solution for all a, b and c

D

Has a unique solution for all a, b and c

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The correct Answer is:

B

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