Question

Find the value of $k$, for which the system of equations $2x+3y=0$ and $3x+ky=0$ has a unique solution.

• A. $k=\frac{9}{2}$
• B. $k=\frac{4}{2}$
• C. $k=\frac{6}{2}$
• D. None of these

Answer 1

Answer: (B), (C)

The correct options are
B $k=\frac{4}{2}$
C $k=\frac{6}{2}$

For unique solution

$\frac{a_1}{a_2}\ne \frac{b_1}{b_2}$

$\frac{2}{3}\ne \frac{3}{k}$

$\Rightarrow k\ne \frac{9}{2}$