CBSE Class 10 Mathematics Circles Assignment Set 07

Class 10 Mathematics Practice Assignments: CBSE Class 10 Mathematics Circles Assignment Set 07

Explore structured practice materials through the CBSE Class 10 Mathematics Circles Assignment Set 07. Tailored for Class 10 learners, utilizing these Mathematics assignments ensures thorough preparation and strengthens foundational knowledge before final CBSE evaluations.

Download Chapter 10 Circles Assignment PDF with Solutions

Navigate directly to the solved Mathematics assignments using the digital viewer below. Each practice set includes detailed step-by-step solutions, allowing students to instantly cross-check their work and identify areas requiring further revision.

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
0 ∠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

Free study material for Mathematics

Chapter 10 Circles Printable Assignments & Solutions for Class 10 Mathematics

Chapter Practice Questions for Class 10 Mathematics

Access structured practice assignments for Chapter 10 Circles designed in alignment with the latest CBSE curriculum for Class 10 Mathematics. These printable sets cover objective and descriptive problem types to support thorough revision.

Maximize Exam Scores with Chapter Practice Sets

  • Syllabus Compliance: Sets reflect current CBSE evaluation criteria and official marking frameworks.
  • Multi-Format Practice: Includes varied problem types designed to deepen comprehension across all sub-topics.
  • Time Management: Routine practice optimizes pacing to finish school examinations comfortably within schedule.

Steps to Complete Chapter 10 Circles Assignments Successfully

  1. Concept Foundation: Review the NCERT book for Class 10 Mathematics thoroughly before diving into assignment tasks.
  2. Self-Evaluation: Solve exercises independently before inspecting professional answer guides.
  3. Progress Monitoring: Note down complex formulas or concepts, clearing them up using available online practice aids.

FAQs

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

You can download free PDF assignments for Class 10 Mathematics Chapter 10 Circles from StudiesToday.com. These practice sheets have been updated for the 2026-27 session covering all concepts from latest NCERT textbook.

Do these Mathematics Chapter 10 Circles assignments include solved questions?

Yes, our teachers have given solutions for all questions in the Class 10 Mathematics 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 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 10 Circles.

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

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

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

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