Question

The value of k for which the system has no solution
$2x+ky+3=0$
$3x+2y-1=0$

• A. $-\frac{2}{3}$
• B. -2
• C. $-\frac{4}{3}$
• D. $\frac{1}{3}$

Answer 1

Answer: (C)

$-\frac{4}{3}$

$ax+by+c=0$ and $p(ax+by+c)=0$ has no solutions $p\ne 0$
So, put the values of k and check which makes both equations similar except a multiplier p. Option (3) $k=-\frac{4}{3}$ is correct.