# Class 10 Case study of Chapter 7 coordinate geometry

Class 10 Case study of Chapter 7 coordinate geometry

# Case study:1

#### Three students Amit(A), Bhanu(B) and Chirag(C). Amit runs 1/5 th the distance PS on the first line and posts a blue flag. Bhanu runs 1/10 th the distance PS on the third line and posts a green flag. Chirag runs half the distance PS on the fifth line and posts a red flag. ## Solution:

(A) Since, 10 banners have been placed at a distance of 10 m from each other along PS,

∴ Distance PS = 10×10 = 100 m

Now Amit runs distance along PS on first line and post a blue flag.

∴ Coordinates of position of blue flag = (1, )

=  (1, 20)

Similarly, coordinates of green flag = (3, )

= (3, 10)

And coordinates of red flag = (5, )

= (5, 50)

(B) The coordinates of the blue and green flags are (1, 20) and (3, 10) respectively.

Applying the distance formula, the distance between the blue and green flags is:  m.

# Case study:2

#### A farmer has plot of land in the shape of a quadrilateral as shown below: ## Solution:

(A) The image of any point on the y-axis will have the same y-coordinate, but its x-coordinate will be negative of its earlier value. As coordinates of its image on y-axis wiill be (4, 5).

(B) From the graph,

B = (0, 7), C = (5, -5), D = (-4, -2)

∴ Using distance formula.  units

And   units.

# Case study:3

#### Class X students of a secondary school in Krishnagar have been alloted a rectangular plot of a land for gardening activity. Saplings of Gulmohar are planted on the boundary at a distance of 1 m 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. (A) Considering A as the origin, what are the coordinates of A ?

(a) (0, 1)              (b) (1, 0)

(c) (0, 0)              (d) (-1, -1)

(B) What are the coordinates of P ?

(a) (4, 6)               (b) (6, 4)

(c) (4, 5)                (d) (5, 4)

(C) What are the coordinates of R ?

(a) (6, 5)                  (b) (5, 6)

(c) (6, 0)                   (d) (7, 4)

(D) What are the coordinates of D ?

(a) (16, 0)                  (b) (0, 0)

(c) (0, 16)                   (d) (16, 1)

(E) 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)

## Some other Case study question:

### 5: Arithmetic progression

Class 10 Case based problem of Chapter 5 A.P. 1

Class 10 Case based problem of Chapter 5 A.P. 2

### 6: Triangle

Class 10 Case based problem of Chapter 6 Triangles 1

Class 10 Case based problem of Chapter 6 Triangles 2 