Let \(a, \lambda, \mu \in \mathbb{R}\). Consider the system of linear equation

\(ax + 2y = \lambda\)

\(3x - 2y = \mu\)

which of the following statement(s) is(are) correct?

1
If \(a = -3\), then the system has infinitely many solutions for all values of \(\lambda\) and \(\mu\)
2
If \(a \neq -3\), then the system has a unique solution for all values of \(\lambda\) and \(\mu\)
3
If \(\lambda + \mu = 0\), then the system has infinitely many solutions for \(a = -3\)
4
If \(\lambda + \mu \neq 0\), then the system has no solution for \(a = -3\)

Sponsored

hivanix.in

Visit

This quiz is brought to you by hivanix.in

🌐 Web App Development

Quick Navigation