# Case Study Chapter 7 Coordinate Geometry Mathematics

Please refer to Case Study Chapter 7 Coordinate Geometry Mathematics with answers provided below. These case study based questions are expected to come in the upcoming Class 10 Mathematics examinations. We have provided case study questions class 10 maths for all chapters on our website as per the latest examination pattern issued by CBSE, NCERT, and KVS.

## Chapter 7 Coordinate Geometry Case study Questions Class 10 Maths

I. Class X students of a secondary school in Krishnagar have been allotted a rectangular plot of a land for gardening activity. Saplings of Gulmohar are planted on the boundary at a distance of 1m from each other. There is a triangular grassy lawn in the plot as shown in the figure. The students are to sow seeds of flowering plants on the remaining area of the plot.

Question. What are the coordinates of R?
(a) (6, 5)
(b) (5, 6)
(c) (6, 0)
(d) (7, 4)

A

Question. What are the coordinates of P if D is taken as the origin?
(a) (12, 2)
(b) (–12, 6)
(c) (12, 3)
(d) (6, 10)

B

Question. Considering A as the origin, what are the coordinates of A?
(a) (0, 1)
(b) (1, 0)
(c) (0, 0)
(d) (–1, –1)

C

Question. What are the coordinates of D?
(a) (16, 0)
(b) (0, 0)
(c) (0, 16)
(d) (16, 1)

A

Question. What are the coordinates of P?
(a) (4, 6)
(b) (6, 4)
(c) (4, 5)
(d) (5, 4)

A

Il. The diagrams show the plans for a sun room. It will be built onto the wall of a house. The four walls of the sun room are square clear glass panels. The roof is made using
• four clear glass panels, trapezium in shape, all the same size
• one tinted glass panel, half a regular octagon in shape

Question. The distance between the points A and S is
(a) 4
(b) 8
(c) 16
(d) 20

C

Question. If a point (x, y) is equidistant from the Q(9, 8) and S(17, 8), then
(a) x + y = 13
(b) x – 13 = 0
(c) y – 13 = 0
(d) x – y = 13

B

Question. Find the mid-point of the segment joining the points J (6, 17) and I (9, 16).
(a) (33/ 2, 15/ 2)
(b)  (3 /2, 1/ 2)
(c) (15/ 2 , 33 /2)
(d) (1/ 2, 3 /2 )

C

Question. Find the coordinates of the point which divides the line segment joining the points A and B in the ratio 1 : 3 internally.
(a) (8.5, 2.0)
(b) (2.0, 9.5)
(c) (3.0, 7.5)
(d) (2.0, 8.5)

D

Question. The distance of the point P from the y-axis is
(a) 4
(b) 15
(c) 19
(d) 25

A

IIl. In the sport of cricket the Captain sets the field according to a plan. He instructs the players to take a position at a particular place. There are two reasons to set a cricket field—to take wickets and to stop runs being scored.
The following graph shows the position of players during a cricket match.

Question. If the points (4, 3) and (x, 5) are on the circular field with centre (2, 4), then the value of x is
(a) 0
(b) 1
(c) 2
(d) 3

A

Question. If the distance between the points showing the players at Gully A(1, 0) and wicketkeeper at B(4, p) is 5 m, then p =
(a) 4 m
(b) 8 m
(c) 6 m
(d) 9 m

A

Question. The ratio in which (4, 5) divides the line segment joining the points Extra Cover S(2, 3) and Fine Leg (7, 8) is
(a) 4 : 3
(b) 5 : 2
(c) 3 : 2
(d) 2 : 3

D

Question. Suppose the length of a line segment joining the players of Mid-off and Mid-on be 10 units. If the coordinates of its one end are (2, –3) and the abscissa of the other end is 10 units, then its ordinate is
(a) 9, 6
(b) 3, –9
(c) –3, 9
(d) 9, –6

B

Question. The coordinate of the point on x-axis which are equidistant from the points representing the players at Cover P(–3, 4) and Mid-wicket Q(2, 5) are
(a) (20, 0)
(b) (–23, 0)
(c) (4 /5 , 0)
(d) None of these.

D

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

A

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

C

Question. 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)

A

Question. 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)

A

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