Question

A boy was at his school having coordinates (4,1) facing towards East. He moves 4 units in
straight line then take right and moves 3 units and stop. Now he is at his home .Assuming that 1 unit
distance is equal to 1km answer the following questions:
i) Represent the above situation on the coordinate axes.
ii) What is the shortest distance between his school and house?
iii) When he was moving straight 4 units he stopped there to buy chocolates from a shop
which was situated at the mid point of a path. What are the coordinates of the shops?​

Answer 1

Shortest Distance between school & House = 5 km and 6 , 1  are coordinates of shop

Step-by-step explanation:

i) Represented the given situation on the coordinate axes.

Please refer attached picture

Shortest Distance between school & House

(4 , 1)  & ( 8 , 4)

= √(8 - 4)² + (4 - 1)²

= √ 4² + 3²

= √ 16 + 9

=√25

= 5

5 unit = 5 km

Shortest Distance between school & House = 5 km

Mid point of  School & chocolate shop

(4 , 1)  & (8 , 1)

= (4 + 8)/2  , (1 + 1)/2

= 12/2  , 2/2

= 6 , 1

6 , 1  are coordinates of shop

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Answer 2

answer is given above

hope it help