Question

and
th the
2 70 conduct Sports Day activities, in
your rectangular shaped school
ground ABCD. lines have been
drawn with chalk powder at a
distance of Im each. 100 flower pots
have been placed at a distance of im
from each other along AD, as shown
distance AD on the 2nd line and
posts a green flag. Preet runs
the distance AD on the eighth line
and posts a red flag. What is the
distance between both the flags? If
halfway between the line segment
1
4
1
th
5
Rashmi has to post a blue flag exactly
in Fig. 7.12. Niharika runs
joining the two flags, where should
she post her flag?
dhe ratio in which the line​

Answer 1

Answer:A circle is inscribed into a rhombous ABCD with one angle 60

∘

. The distance from the centre of the circle to the nearest vertex is equal to 1. If P is any point of the circle, then ∣PA∣

2

+∣PB∣

2

+∣PC∣

2

+∣PD∣

2

is equal to

Step-by-step explanation:

Answer 2

❥Question

To conduct Sports Day activities, in your rectangular shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1 m each. 100 flower pots have been placed at a distance of 1 m from each other along AD, as shown in the following figure. Niharika runs 1/4 th the distance AD on the 2nd line and posts a green flag. Preet runs 1/5th the distance AD on the eighth line and posts a red flag. What is the distance between both the flags? If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?

❥ANSWER

From the given instruction, we observed that Niharika posted the green flag at 1/4th of the distance AD i.e., (1/4 ×100) m = 25m from the starting point of 2nd line. Therefore, the coordinates of this point are (2, 25).

Similarly, Preet posted red flag at 1/5 of the distance AD i.e., (1/5 ×100) m = 20m from the starting point of 8th line. Therefore, the coordinates of this point are (8, 20).

Distance between these flags can be calculated by using distance formula,

The point at which Rashmi should post her blue flag is the mid- point of the line joining these points. Let say this point be P(x, y).

x = (2+8)/2 = 10/2 = 5 and y = (20+25)/2 = 45/2

Hence, P( x, y) = (5,45/2)

Therefore, Rashmi should post her blue flag at 45/2 = 22.5m on 5th line.