(i) Considering A as origin (0, O), AB as X-axis and AD as Y-axis.
Niharika runs in the 2nd line with green flag and distance covered (parallel to AD)
.'. Co-ordinates of green flag are (2, 25) and label it as P i.e., P(2, 25)
Similarly, Preet runs in the eighth line with red flag and distance covered (parallel to AD)
.'. Co-ordinates of red flag are (8, 20) and label it as Q i.e, Q(8, 20)
Now, using distance formula, distance between green flag and blue flag
(ii) Also, Rashmi has to post a blue flag at the mid-point of PQ, therefore by using mid-point formula, we have
Hence, the blue flag is in the fifth line, at a distance of 45/2 i.e, 22.5 m along the direction parallel to AD.
(iii) Co-ordinate Geometry.
(iv) Team spirit leads to perfection.