**Case study Questions in the Class 10 Mathematics Chapter 11 **are very important to solve for your exam. Class 10 Maths Chapter 11 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 11 **Construction**

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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.

**Construction** Case Study Questions With Answers

Here, we have provided case-based/passage-based questions for Class 10 Maths **Chapter 11 Construction**

**Case Study/Passage-Based Questions**

**Case Study 1:** The management of a school decided to arouse the interest of their students in Mathematics. So they want to construct some geometrical shapes in one corner of the school premises. They showed a rough sketch of a right triangular structure on a plain sheet of paper with sides AB = 6 m, BC = 8 m, and ∠B = 90°. The diagram shows a perpendicular from the vertex B to the front side AC. They want to build a circular wall through B, C, and D but they had certain problems in doing so. So they called on some students of class X to solve this problem. They made some suggestions.

**Question. Referring to the above, what is the length of the perpendicular drawn on side AC from vertex B? **

(a) 2.6 m

(b) 3.0 m

(c) 4.8 m

(d) 4.0 m

Answer: (c) 4.8 m

**Question. To find centre of the circle, the students made some suggestions which are as follows: **

(a) Draw perpendicular BD on AC

(b) Draw perpendicular bisectors of BC and CD.

(c) The intersecting point of perpendiculars of BC and CD are the centre of the circle.

(d) All of the above

Answer: (d) All of the above

**Question. Referring to the above, the length of tangent AE is **

(a) 10 m

(b) 8 m

(c) 12 m

(d) 6 m

Answer: (d) 6m

**Question. Referring to the above, what will be the length of AD? **

(a) 3.6 m

(b) 3.8 m

(c) 4.8 m

(d) 5.6 m

Answer: (a) 3.6 m

**Question. Referring to the above, sum of angles ∠BAE and ∠BOE is **

(a) 120°

(b) 180°

(c) 90°

(d) 60°

Answer: (b) 180°

**Case Study 2:** Construction is an important aspect of geometry that involves creating various geometric figures using specific tools and techniques. The construction of geometric figures is based on precise measurements, angles, and relationships between different elements. Tools such as a compass, ruler, and protractor are commonly used in construction. Construction involves drawing lines, constructing angles, bisecting lines and angles, constructing triangles, and other geometric constructions. The process of construction requires careful planning, accurate measurements, and the application of geometric principles. It helps in visualizing and understanding geometric concepts, and it has practical applications in fields such as architecture, engineering, and design.

**What is construction in mathematics?**a) Building structures

b) Creating geometric figures using specific tools and techniques

c) Solving algebraic equations

d) Calculating measurements

Answer: b) Creating geometric figures using specific tools and techniques

**What tools are commonly used in construction?**a) Calculator and protractor

b) Compass, ruler, and protractor

c) Compass and calculator

d) Ruler and calculator

Answer: b) Compass, ruler, and protractor

**What is involved in construction?**a) Drawing lines

b) Constructing angles

c) Bisecting lines and angles

d) All of the above

Answer: d) All of the above

**What is the purpose of construction in mathematics?**a) Visualizing and understanding geometric concepts

b) Creating art

c) Solving algebraic equations

d) Estimating measurements

Answer: a) Visualizing and understanding geometric concepts

**In which fields does construction have practical applications?**a) Architecture, engineering, and design

b) Medicine and biology

c) Literature and history

d) Economics and finance

Answer: a) Architecture, engineering, and design

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