If the system of equations $2 x+3 y-z=5$ ; $x+\alpha y+3 z=-4$ ; $3 x-y+\beta z=7$ has infinitely many solutions, then $13 \alpha \beta$ is equal to
If the system of equations $2 x+3 y-z=5$ ; $x+\alpha y+3 z=-4$ ; $3 x-y+\beta z=7$ has infinitely many solutions, then $13 \alpha \beta$ is equal to
- [JEE MAIN 2024]
- A
$1110$
- B
$1120$
- C
$1210$
- D
$1220$
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