Question

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

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

Answer 1

Answer: (D)

$A=\left(0,\frac{8}{3}\right),B\equiv (1,3),C\equiv (82,30)$
Slope of $AB=\frac{3-8/3}{1-0}=\frac{1}{3}$,
Slope of $BC=\frac{30-3}{82-1}=\frac{27}{81}=\frac{1}{3}$
$\Rightarrow A,B,C$ lie on a straight line.