Question

In the seating arrangement of desks in a classroom three students Rohini, Sandhya and Bina are seated at A (3, 1), B (6, 4) and C (8, 6). Do you think they are seated in a line?

Answer 1

Points are A (3, 1), B (6, 4) and C (8, 6) 

For sitting in a line three points must be collinear i.e AB + BC = AC

Length of side AB = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

AB + BC = AC 

\(3\sqrt2\) + \(2\sqrt2\) = \(5\sqrt2\)

The points are collinear.