jee-main 2025 Q2

jee-main · India · session1_24jan_shift2 Matrices Linear System and Inverse Existence
If the system of equations $$x + 2y - 3z = 2$$ $$2x + \lambda y + 5z = 5$$ $$14x + 3y + \mu z = 33$$ has infinitely many solutions, then $\lambda + \mu$ is equal to :
(1) 13
(2) 10
(3) 12
(4) 11
If the system of equations 
$$x + 2y - 3z = 2$$
$$2x + \lambda y + 5z = 5$$
$$14x + 3y + \mu z = 33$$
has infinitely many solutions, then $\lambda + \mu$ is equal to :\\
(1) 13\\
(2) 10\\
(3) 12\\
(4) 11