Question 1 - Case Based Questions (MCQ) - Chapter 7 Class 10 Coordinate Geometry (Term 1)

In order to conduct Sports Day activities in your School, lines have been drawn with chalk powder at a distance of 1 m each, in a rectangular shaped ground ABCD, 100 flowerpots have been placed at a distance of 1 m from each other along AD, as shown in given figure below. Niharika runs 1/4 th the distance AD on the 2nd line
and posts a green flag. Preet runs 1/5 th distance AD on the eighth line and posts a red flag

Question 1

Find the position of green flag
(a) (2, 25)
(b) (2, 0.25)
(c) (25, 2)
(d) (0, –25)

Question 2

Find the position of red flag
(a) (8, 0)
(b) (20, 8)
(c) (8, 20)
(d) (8, 0.2)

Question 3

What is the distance between both the flags?
(a) √41
(b) √11
(c) √61 
(d) √51

Question 4

If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?
(a) (5, 22.5)
(b) (10, 22)
(c) (2, 8.5)
(d) (2.5, 20)

Question 5

If Joy has to post a flag at one-fourth distance from green flag, in the line segment joining the green and red flags, then where should he post his flag?
(a) (3.5, 24)
(b) (0.5, 12.5)
(c) (2.25, 8.5)
(d) (25, 20)