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