Question

If $x+y+z=0,4x+3y-z=0$ and $3x+5y+3z=0$ is a system of equation, then which is true ?

• A. it is inconsistant
• B. if has only single solution $x=0,y=0,z=0$
• C. determinant of co-efficient of matrix is zero
• D. It has infinitely many solutions.

Answer 1

Answer: (B)

$x$ = 0, $y$ = 0, $z$ = 0.
$\left[\because \left|\begin{array}{ccc}1& 1& 1\\ 4& 3& -1\\ 3& 5& 3\end{array}\right|=10\ne 0\right]$