CBSE Class 10 Mathematics Circles Assignment Set G

Read and download the CBSE Class 10 Mathematics Circles Assignment Set G for the 2025-26 academic session. We have provided comprehensive Class 10 Mathematics school assignments that have important solved questions and answers for Chapter 10 Circles. These resources have been carefuly prepared by expert teachers as per the latest NCERT, CBSE, and KVS syllabus guidelines.

Solved Assignment for Class 10 Mathematics Chapter 10 Circles

Practicing these Class 10 Mathematics problems daily is must to improve your conceptual understanding and score better marks in school examinations. These printable assignments are a perfect assessment tool for Chapter 10 Circles, covering both basic and advanced level questions to help you get more marks in exams.

Chapter 10 Circles Class 10 Solved Questions and Answers

 

 

Write True or False and justify your answer in each of the following:
 
Question : Two chords AB and CD of a circle are each at distances 4 cm from the centre. Then AB = CD.
Solution : We know that chords equidistant from the centre of a circle are equal.
Here we are given that two chords AB and CD of a circle are each at distance 4 cm (equidistance) from the centre of a circle. So, chords are equal, i.e., AB = CD.
Hence, the given statement is true.
 
Question : Two chords AB and AC of a circle with centre O are on the opposite sides of OA.
Then ∠OAB = ∠OAC.
Solution : The given statement is false, because the angles will be equal if AB = AC.
 
Question : Two congruent circles with centres O and O′ intersect at two points A and B. Then
∠AOB = ∠AO′ B. 
Solution : The given statement is true because equal chords of congruent circles subtend equal angles at the respective centre.
 
Question : Through three collinear points a circle can be drawn.
Solution : The given statement is false because a circle through two points cannot pass through a point which is collinear to these two points.
 
Question : A circle of radius 3 cm can be drawn through two points A, B such that AB = 6 cm.
Solution : Radius of circle = 3 cm,
 Diameter of circle = 2 × r = 2 × 3 cm = 6 cm
Now, AB = 6 cm, so the given statement is true because AB will be the diameter.
 
Question : If AOB is a diameter of a circle and C is a point on the circle, then AC2 + BC2 = AB2.
Solution : AOB is a diameter of a circle and C is a point on the circle.
 <ACB = 90° [∵Angle in a semicircle is a right angle]
In right ΔABC,
AC2 + BC2 = AB2 [By Pythagoras theorem]
Hence, the given statement is true.
 
Question : ABCD is a cyclic quadrilateral such that ∠A = 90°, ∠B = 70°, ∠C = 95° and ∠D = 105°.
Solution : We know that opposite angles of a cyclic quadrilateral are supplementary.
Here, sum of opposite angles is not. 180°
∠A+∠C = 90° + 95° =185°
Hence, ABCD is not a cyclic quadrilateral. The given statement is false.
 
Question : If A, B, C, D are four points such that ∠BAC = 30° and ∠BDC = 60°, then D is the centre of the circle through A, B and C.
Solution : The given statement is false because there can be many points D such that ∠BDC = 60°
and each such point cannot be centre of the circle through A, B, C.
 
Question : If A, B, C and D are four points such that ∠BAC = 45° and ∠BDC = 45°, then A, B, C, D are concyclic.
Solution :  The given statement is true, because the two angles ∠BAC = 45° and ∠BDC = 45° are in the same segment of a circle.
 
Question :  In Fig. 10.10, if AOB is a diameter and ∠ADC = 120°, then ∠CAB = 30°.
A-26
 
Solution : AOB is a diameter of circle with centre O.
ADC +ABC =180°
[∵ABCD is a cyclic quadrilateral]
 ⇒ 120° +ABC =180°
 
A-27
 
 
⇒ ABC =180° −120° = 60°
In ΔABC, we have
ACB = 90°
[∵Angle in a semicircle and  ΔABC = 60° (Proved above)]
CAB =180°− (90° + 60° ) = 30°
Hence, the given statement is true. 
 
 
CBSE Class 10 Mathematics Circles Assignment Set G
 
 

LEVEL ‐ I

1. Divide a line segment in given ratio.

2. Draw a line segment AB=8cm and divide it in the ratio 4:3.

3. Divide a line segment of 7cm internally in the ratio 2:3.

4. Draw a circle of radius 4 cm. Take a point P on it. Draw tangent to the given circle at P.

5. Construct an isosceles triangle whose base 7.5 cm and altitude is 4.2 cm.
 
 
 
 
Please click the link below to download CBSE Class 10 Mathematics Circles Assignment Set G

CBSE Class 10 Mathematics Chapter 10 Circles Assignment

Access the latest Chapter 10 Circles assignments designed as per the current CBSE syllabus for Class 10. We have included all question types, including MCQs, short answer questions, and long-form problems relating to Chapter 10 Circles. You can easily download these assignments in PDF format for free. Our expert teachers have carefully looked at previous year exam patterns and have made sure that these questions help you prepare properly for your upcoming school tests.

Benefits of solving Assignments for Chapter 10 Circles

Practicing these Class 10 Mathematics assignments has many advantages for you:

  • Better Exam Scores: Regular practice will help you to understand Chapter 10 Circles properly and  you will be able to answer exam questions correctly.
  • Latest Exam Pattern: All questions are aligned as per the latest CBSE sample papers and marking schemes.
  • Huge Variety of Questions: These Chapter 10 Circles sets include Case Studies, objective questions, and various descriptive problems with answers.
  • Time Management: Solving these Chapter 10 Circles test papers daily will improve your speed and accuracy.

How to solve Mathematics Chapter 10 Circles Assignments effectively?

  1. Read the Chapter First: Start with the NCERT book for Class 10 Mathematics before attempting the assignment.
  2. Self-Assessment: Try solving the Chapter 10 Circles questions by yourself and then check the solutions provided by us.
  3. Use Supporting Material: Refer to our Revision Notes and Class 10 worksheets if you get stuck on any topic.
  4. Track Mistakes: Maintain a notebook for tricky concepts and revise them using our online MCQ tests.

Best Practices for Class 10 Mathematics Preparation

For the best results, solve one assignment for Chapter 10 Circles on daily basis. Using a timer while practicing will further improve your problem-solving skills and prepare you for the actual CBSE exam.

Where can I download the latest CBSE Class 10 Mathematics Chapter Chapter 10 Circles assignments?

You can download free PDF assignments for Class 10 Mathematics Chapter Chapter 10 Circles from StudiesToday.com. These practice sheets have been updated for the 2025-26 session covering all concepts from latest NCERT textbook.

Do these Mathematics Chapter Chapter 10 Circles assignments include solved questions?

Yes, our teachers have given solutions for all questions in the Class 10 Mathematics Chapter Chapter 10 Circles assignments. This will help you to understand step-by-step methodology to get full marks in school tests and exams.

Are the assignments for Class 10 Mathematics Chapter Chapter 10 Circles based on the 2026 exam pattern?

Yes. These assignments are designed as per the latest CBSE syllabus for 2026. We have included huge variety of question formats such as MCQs, Case-study based questions and important diagram-based problems found in Chapter Chapter 10 Circles.

How can practicing Chapter Chapter 10 Circles assignments help in Mathematics preparation?

Practicing topicw wise assignments will help Class 10 students understand every sub-topic of Chapter Chapter 10 Circles. Daily practice will improve speed, accuracy and answering competency-based questions.

Can I download Mathematics Chapter Chapter 10 Circles assignments for free on mobile?

Yes, all printable assignments for Class 10 Mathematics Chapter Chapter 10 Circles are available for free download in mobile-friendly PDF format.