**Case study Questions in Class 9 Mathematics Chapter 3 **are very important to solve for your exam. Class 9 Maths Chapter 3 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving Class 9 Maths Case Study Questions Chapter 3 **Coordinate Geometry**

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In CBSE Class 9 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

**Coordinate Geometry**Here, we have provided case-based/passage-based questions for Class 9 Maths **Chapter 3 Coordinate Geometry**

**Case Study/Passage-Based Questions**

**Case Study 1:** Alia and Shagun are friends living on the same street in Patel Nagar. Shogun’s house is at the intersection of one street with another street on which there is a library. They both study in the same school and that is not far from Shagun’s house. Suppose the school is situated at point 0, i.e., the origin, and Alia’s house is at A. Shoguns house is at B and library is at C. Based on the above information, answer the following questions.**(i) How far is Alia’s house from Shaguns house?**

(a) 3 units | (b) 4 units | (c) 5 units | (d) 2 units |

Answer: (d) 2 units

**(ii) How far is the library from Shaguns house?**

(a) 3 units | (b) 2 units | (c) 5 units | (d) 4 units |

Answer: (b) 2 units

**(iii) How far is the library from Alia’s house?**

(a) 2 units | (b) 3 units | (c) 4 units | (d) None of these |

Answer: (d) None of these

**(iv) Which of the following is true?**

(a) ABC forms a scalene triangle | (b) ABC forms an isosceles triangle |

(c) ABC forms an equilateral triangle | (d) None of these |

Answer: (b) ABC forms an isosceles triangle

**Case Study 2:** 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 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 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 house from grocery store to that from 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 the 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

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