If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?

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Solution

Q.
In order to conduct Sports Day activities in your School, lines have been drawn with chalk powder at a distance of 1 m each, in a rectangular shaped ground ABCD. 100 flowerpots have been placed at a distance of 1 m from each other along AD as shown in the given figure below.

Niharika runs 1/4 of the distance AD on the 2nd line and posts a green flag. Preet runs 1/5 of the distance ADon the eighth line and posts a red flag.

Based on the above information answer the following questions:

(iii) (a) If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag

1 $(5, \frac{44}{2})$

2 $- (5, \frac{45}{2})$

3 $(5, \frac{45}{3})$

4 $(5, \frac{45}{2})$

Ans.
(4)

We have the line joining the two flags (shown).

Let B be the position of the blue flag posted by Rashmi, which is the midpoint of

$G (2, 25) a n d R (8, 20) . I t s c o o r d i n a t e s : B = (\frac{8 + 2}{2}, \frac{20 + 25}{2}) = (\frac{10}{2}, \frac{45}{2}) = (5, \frac{45}{2})$

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