Let $\alpha, \lambda, \mu \in \mathrm{R}$. Consider the system of linear equations
$$
\begin{aligned}
& a x+2 y=\lambda \\
& 3 x-2 y=\mu
\end{aligned}
$$
Which of the following statement(s) is(are) correct ?
Select ALL correct options:
A
If $\alpha=-3$, then the system has infinitely many solutions for all values of $\lambda$ and $\mu$
B
If $\alpha \neq-3$, then the system has a unique solution for all values of $\lambda$ and $\mu$
C
If $\lambda+\mu=0$, then the system has infinitely many solutions for $\alpha=-3$
D
If $\lambda+\mu \neq 0$, then the system has no solutions for $\alpha=-3$
Hello 👋 Welcome to Competishun – India’s most trusted platform for JEE & NEET preparation. Need help with JEE / NEET courses, fees, batches, test series or free study material? Chat with us now 👇
