First slide

Cartesian plane

Question

The points $A (0, \frac{8}{3}), B (1, 3), C (82, 30)$ form

Easy

A

The vertices of obtuse angled triangle
B

The vertices of acute angled triangle
C

The vertices of right angled triangle
D

Collinear

Solution

$A (0, \frac{8}{3}), B (1, 3), C (82, 30)$
slope of $A B = \frac{3 - \frac{8}{3}}{1 - 0} = \frac{1}{3}$ ,

Slope of $B C = \frac{30 - 3}{82 - 1} = \frac{27}{81} = \frac{1}{3}$

Slope of AB = slope of BC

$∴$ The points A,B,C are collinear

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