Q41 of 149 Page 14

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.


More from this chapter

All 149 →
39

Find the equation of the perpendicular bisector of the line segment joining points (7, 1) and (3, 5).

 40

Prove that the points (3, 0), (4, 5), (-1, 4) and (-2, -1), taken in order, form a rhombus. Also, find its area.

 42

Find a point on y-axis which is equidistant from the points (5, - 2) and (- 3, 2).

 43

Find a relation between x and y such that the point (x, y) is equidistant from the points (3, 6) and (-3, 4).