Question

The points $(0,\frac{8}{3}),(1,3)$ and $(82,30)$ :

• A. form an obtuse angled triangle.
• B. form a right angled triangle.
• C. lie on a straight line.
• D. form an acute angled triangle.

Answer 1

Answer: (C)

lie on a straight line.

Given $(0,\frac{8}{3}),(1,3)$ and $(82,30)$

$\left|\begin{array}{ccc}0& \frac{8}{3}& 1\\ 1& 3& 1\\ 82& 30& 1\end{array}\right|$
$=216-216=0$
Hence, the given points are collinear.