Q13

MSQ1 mark

Consider the given system of linear equations for variables $x$ and $y$ , where $k$ is a real-valued constant. Which of the following option(s) is/are CORRECT?

\begin{array}{l} x+k y=1 \\ k x+y=-1 \end{array}

(A)

There is exactly one value of $k$ for which the above system of equations has no solution.

(B)

There exist an infinite number of values of $k$ for which the system of equations has no solution.

(C)

There exists exactly one value of $k$ for which the system of equations has exactly one solution.

(D)

There exists exactly one value of $k$ for which the system of equations has an infinite number of solutions.

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