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?
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 =
Length of side AB = =
=
=
units
Length of side BC = =
=
=
units
Length of side AC = =
=
units
AB + BC = AC
+
=
The points are collinear.