**Case study Questions in the Class 10 Mathematics Chapter 7 **are very important to solve for your exam. Class 10 Maths Chapter 7 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving Class 10 Maths Case Study Questions Chapter 7 **Coordinate Geometry**

In CBSE Class 10 Maths Paper, Students will have to answer some questions based on Assertion and Reason. There will be a few questions based on case studies and passage-based as well. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.

# Coordinate Geometry Case Study Questions With Answers

Here, we have provided case-based/passage-based questions for Class 10 Maths **Chapter 7 Coordinate Geometry**

**Case Study/Passage-Based Questions**

**Question 1:**

A satellite image of a colony is shown below. In this view, a particular house is pointed out by a flag, which is situated at the point intersection of the x and y-axes. If we go 2 em east and 3 em north from the house, then we reach a Grocery store. If we go 4 em west and 6 em south from the house, then we reach to an Electrician’s shop. If we go 6 em east and 8 em south from the house, then we reach a food cart. If we go 6 em west and 8 em north from the house, then we reach a bus stand.

Based on the above information, answer the following questions.**(i) The distance between the grocery store and the food cart is**

(a) 12 cm | (b) 15 cm | (c) 18 cm | (d) none of these |

Answer: (d) none of these

**(ii) The distance of the bus stand from the house is**

(a) 5 cm | (b) 10 cm | (c) 12 cm | (d) 15 cm |

Answer: (b) 10 cm

**(iii) If the grocery store and electrician’s shop lie on a line, the ratio of the distance of the house from the grocery store to that from the electrician’s shop, is**

(a) 3.2 | (b) 2.3 | (c) 1.2 | (d) 2.1 |

Answer: (c) 1.2

**(iv) The ratio of distances of the house from the bus stand to food cart is**

(a) 1.2 | (b) 2.1 | (c) 1.1 | (d) none of these |

Answer: (c) 1.1

**(v) The coordinates of positions of bus stand, grocery store, food cart, and electrician’s shop form a**

(a) rectangle | (b) parallelogram | (c) square | (d) none of these |

Answer: (d) none of these

**Question 2:**

The class X student’s school in krishnagar has been allotted a rectangular plot of land for their 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.

**1. Taking A as origin, find the coordinates of P**

a) (4,6)

b) (6,4)

c) (0,6)

d) (4,0)

Answer: a) (4,6)

**2. What will be the coordinates of R, if C is the origin?**

a) (8,6)

b) (3,10)

c) (10,3)

d) (0,6)

Answer: c) (10,3)

**3. What will be the coordinates of Q, if C is the origin?**

a) (6,13)

b) b) (-6,13)

c) (-13,6)

d) (13,6)

Answer: d) (13,6)

**4. Calculate the area of the triangles if A is the origin**

a) 4.5

b) 6

c) 8

d) 6.25

Answer: a) 4.5

**5. Calculate the area of the triangles if C is the origin**

a) 8

b) 5

c) 6.25

d) 4.5

Answer: d) 4.5

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