Question

The equation $\left|\begin{array}{ccc}2& 1& 1\\ 1& 1& -1\\ y& x^2& x\end{array}\right|$ represents a parabola passing through the points

• A. $(0,1),(0,2),(0,-1)$
• B. $(0,0),(-1,1),(1,2)$
• C. $(1,1),(0,0),(2,2)$
• D. $(1,2),(2,1),(0,0)$

Answer 1

The correct option is B $(0,0),(-1,1),(1,2)$

$\left|\begin{array}{ccc}2& 1& 1\\ 1& 1& -1\\ y& x^2& x\end{array}\right|$=0
$\Rightarrow y=\frac{3x^2+x}{2}$
By using options we can see that it is passing the points (0,0),(-1,1),(1,2).
Hence , option (b) is correct.