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.

If Niharika runs 1/4 th the distance AD on the 2nd line and posts a

green flag.

Preeti runs 1/5th the distance AD on the eighth line and posts a red

flag.

I) The coordinates where Niharika posts her flag are -

(a) (20,2)

(b) (2,20)

(c) (2,25)

(d) (25,2)

1

II) The coordinates where Preeti posts her flag are -

(a) (8,25)

(b) (8,20)

(c) (25,8)

(d) (20,8)

1

III) What is the distance between both the flags?

(a) 5m

(b) 6m

(c) √m

(d) √m

1

iv) If Rashmi has to post a blue flag exactly halfway between

the line segment joining the two flags, in which line she

has to run?

(a) 4

th

(b) 5

th

(c) 6

th

(d) 7

th

1

v) The coordinates where Rashmi post her flag are -

(a) (4,20) (b) (5,22.5)

(c) (4,22.5) (d) (5,20)​

Answer 1

Answer:

1_total distn-100

niharikas distn=100×1/4=25.

coordinate, (2,25)

2_preti,

total distn-100

preeti 100×1/5=20

coordinate (8,20)

5_since flag to be posted mid in point..

section formula..m1=1,m2=1

x= (2+8)/2=10/5=2

y=(20+25)/2=45/2=22.5

coordinate _(2,22.5)

4_ 5th line

3_using distance formula...

ans--/61m