**Case study Questions on Class 9 Mathematics Chapter 10 **are very important to solve for your exam. Class 9 Maths Chapter 10 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving case study-based** **questions for Class 9 Maths Chapter 10 **Circles**

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.

**Circles** Case Study Questions With answers

**Circles**Here, we have provided case-based/passage-based questions for Class 9 Maths **Chapter 10 Circles**

**Case Study/Passage Based Questions**

Three friends Amit, Mayank and Richa were playing with ball by standing on a circle at A, B and C point respectively. Richa throws a ball to Amit, Amit to Mayank and Mayank to Richa. They all are equidistant from each other as shown in the figure.

Considering O as the centere of the circle, answer the following questions

**Which type of ▲ABC is given in figure?**(a) Right angled triangle

(b) Equilateral triangle

(c) Isosceles triangle

(d) Scalene triangle

Answer: (b) Equilateral triangle

**Measure of ∠ABC is**(a) 45° (b) 60°

(c) 30° (d) 90°

Answer: (b) 60°

**If AB = 6 cm, then BC + CA is equal to**(a) 12 cm (b) 14 cm

(c) 15 cm (d) 18 cm

Answer: (a) 12 cm

**Measure of ∠BOC is**(a) 90° (b) 100° (c) 120° (d) 150°

Answer: (c) 120°

**Value of ∠OBC + ∠OCB is**(a) 30° (b) 45° (c) 90° (d) 60°

Answer: (d) 60°

**Case Study/Passage Based Questions**

Rohan is a class 9th student. He did not attend school as his health is not fine for a few days. At home, he opens his Maths textbook and observes chapter circles. He was so much curious to know about the properties of circles. His father Mr. Raman, who is also a good Mathematician helps Rohan to understand all properties one by one. At last, he asks some questions to Rohan for quick revision. Help Rohan to answer the following questions.

**A circle can circumscribe a**(a) Rectangle (b) Trapezium

(c) Triangle (d) All of these

Answer: (d) All of these

**The perpendicular distance from the centre of the circle decreases when**(a) the length of the chord increases

(b) the length of the chord decreases

(c) Radius of circle is decreased

(d) Radius of circle is increased

Answer: (a) the length of the chord increases

**The number of radii that can be drawn in a circle is**(a) 10 (b) 100 (c) 1000 (d) infinite

Answer: (d) infinite

**The distance from the centre of the circle to the longest chord is equal to**(a) 22/7 units (b) 0 unit

(c) 1 unit (d) 3 units

Answer: (b) 0 unit

**Angle formed by the equal arcs on the circumference of the circle**(a) are supplementary (b) are equal

(c) are complimentary (d) None of these

Answer: (b) are equal

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