Consider the following system of equations : $x+2 y-3 z=a$ ; $2 x+6 y-11 z=b$ ; $x-2 y+7 z=c$ where $a , b$ and $c$ are real constants. Then the system of equations :
Consider the following system of equations : $x+2 y-3 z=a$ ; $2 x+6 y-11 z=b$ ; $x-2 y+7 z=c$ where $a , b$ and $c$ are real constants. Then the system of equations :
- [JEE MAIN 2021]
- A
has a unique solution when $5 a =2 b + c$
- B
has infinite number of solutions when $5 a =2 b + c$
- 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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