Seema and Aditya planned to meet at a location D situated at the mid-point of the line joining the points represented by Town A and Town B. Find the coordinates of the point represented by D.

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Solution

Q.
Two friends, Seema and Aditya, work in the same office in Delhi. For the Christmas vacation, they both decided to travel to their hometowns, represented by Town A and Town B in the figure shown. Town A and Town B are connected by trains departing from the same station, Station C, in Delhi.

Based on the above information, answer the following questions:

(ii) Seema and Aditya planned to meet at a location D situated at the mid-point of the line joining the points represented by Town A and Town B. Find the coordinates of the point represented by D.

Given:

$T o w n A = A (2, 6) T o w n B = B (5, 2) S t a t i o n C = C (- 5, 4)$

1 $(\frac{7}{2}, 3)$

2 $(\frac{7}{2}, 4)$

3 $(\frac{- 7}{2}, 4)$

4 $(\frac{6}{3}, 4)$

Ans.
(2)

Since D is the midpoint of AB:

Coordinates of D:

$D = (\frac{2 + 5}{2}, \frac{6 + 2}{2}) = (\frac{7}{2}, 4) T h u s, (\frac{7}{2}, 4) i s t h e l o c a t i o n o f p o i n t D .$

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