Question

The system of linear equations $ax+by=0,cx+dy=0$ has a non-trivial solution if

• A. ad - bc > 0
• B. ad - bc < 0
• C. ac+ bc = 0
• D. ad - bc = 0.

Answer 1

Answer: (D)

System of given equations has a non-trivial
solution if $\left|\begin{array}{cc}a& b\\ c& d\end{array}\right|$ = 0 $i.e.,$ if $ad-bc$ = 0