(Q22)The figure shows the arrangement of desks in a class room.Madhuri,Meena,Pallavi are seated at A(3,1), B(6,4) and C(8,6) respectively.Do you think they are seated in a line? Give reasons for your answer.

01122334455667788991010...ABC

Using the distance formula, we have

AB= √((6-3)2 + (4-1)2)

= √

=3 √ units

BC= √((-)2 + (-)2)

= √

=2 √ units

AC= √((-)2 + (-)2)

= √

=5 √

Since,AB+BC=AC we can say that the points, A,B and C are collinear.Therefore,they are seated in a line.