Question

On a number line, points A, B and C are such that d(A, B) = 5 units, d(B, C) = 11 units and d(A, C) = 6 units. Which of the points is between the other two?

• A. Point A is between point B and point C.
• B. Point B is between point A and point C.
• C. Point C is between point A and point B.
• D. None of the above

Answer 1

The correct option is A Point A is between point B and point C.

Given, d(B, C) = 11 .....(i)

d(A, B) + d(A, C) = 5 + 6 = 11...........(ii)

$\therefore$ d(B,C) = d(A,B) + d(A,C) [From (i) and (ii)]

Hence, point A is between point B and point C.