jee-main 2022 Q69

jee-main · India · session1_26jun_shift2 Matrices Linear System and Inverse Existence

If the system of equations $\alpha x + y + z = 5 , x + 2 y + 3 z = 4 , x + 3 y + 5 z = \beta$ has infinitely many solutions, then the ordered pair $( \alpha , \beta )$ is equal to
(1) $( 1 , - 3 )$
(2) $( - 1,3 )$
(3) $( 1,3 )$
(4) $( - 1 , - 3 )$

If the system of equations $\alpha x + y + z = 5 , x + 2 y + 3 z = 4 , x + 3 y + 5 z = \beta$ has infinitely many solutions, then the ordered pair $( \alpha , \beta )$ is equal to\\
(1) $( 1 , - 3 )$\\
(2) $( - 1,3 )$\\
(3) $( 1,3 )$\\
(4) $( - 1 , - 3 )$

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