To keep herself fit, Sumati used to walk 5 km daily. On one particular day, Sumati participated in a marathon. The organisers used a coordinate plane to mark the course of the marathon. The path for the marathon is as follows:
The starting point is A. At B, there is a water stall to keep the participants hydrated. There is a juice stall at point C to keep them energetic. At D, there is a rest point for those who want to take rest in between. E is the final destination point.
Based on the above situation, answer the following questions .
(i) What are the coordinates of the point where juice stall is installed? (1)
(ii) Write the quadrant in which destination point lie. (1)
(iii) (A) Find the distance which each participant has to cover to reach the resting point.
OR
(iv) (B) Find the distance which each participant has to cover to reach the destination point from water stall.
Solution :
Solution :
A (Starting point) = (2,1)
B (Water Stall) = (2,3)
C (Juice Stall) = (0,3)
D (Resting point) = (0, 5)
E (Destination point) = (-3, 5)
(i) Juice stall is at point C and its coordinates are (0,3)
(ii) The coordinate of destination point is (-3, 5) and it lies in II Quadrant.
(iii) Distance which each participant has to cover to reach the resting point :
AB+BC+CD
=(3-1)+(2-0)+(5-3)
=2+2+2
= 6 km
OR
OR
(iv) Distance covered by each participant to reach the destination point from water stall
= BC+CD+DE
=(2-0)+(5-3)+[0-(-3)]
=2+2+3
= 7 km