Daily Practice Problems
Class 9 Maths
Circles
daily practice problem

Question 1:

A _____ is the longest chord and all _____ have the same length, which is equal to two times the radius.

 

Question 2:

Prove that equal chords of a circle subtend equal angles at the centre.

 

Question 3:

The line drawn through the centre of a circle to bisect a chord is perpendicular to the chord.

 

Question 4:

The sum of either pair of opposite angles of a cyclic quadrilateral is 180°.

 

Question 5:

In the figure, O is the centre of a circle passing through points A, B, C and D and ADC = 120°. Find the value of x.

Circles Class 9 Extra Questions

Question 6:

In the figure, ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If DBC = 55° and BAC = 45°, find BCD.

                                                     

 

Question 7:

Two circles intersect at two points A and B. AD and AC are diameters to the two circles as shown in the figure. Prove that B lies on the line segment DC.

 

Question 8:

In the given figure, O is the centre of the circle, AOB = 60° and CDB = 90°. Find OBC.

Class 9 Circles Extra Questions

 

Question 9:

In the given figure, O is the centre of the circle with chords AP and BP being produced to R and Q respectively. If QPR = 35°, find the measure of AOB.

Circles Extra Questions Class 9

 

Question 10:

Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the length of the common chord.

 

Question 11:

In the given figure, ACP = 40° and BPD = 120°, then find CBD.

                                                     Extra Questions Of Circles Class 9

 

Question 12:

If the diagonals of a cyclic quadrilateral are diameters of the circle through the opposite vertices of the quadrilateral. Prove that the quadrilateral is a rectangle.

 

Question 13:

The angle subtended by the diameter of a semi-circle is _____.

 

Question 14:

The length of the complete circle is called ____.

 

Question 15:

Which of the following is correct statement?

(i) The centre of the circle lies outside of the circle.

(ii) The longest chord of the circle is any chord of the circle.

(iii) A circle has only finite number of chords.

(iv) From a point on the circle, only one tangent has been drawn.

 

Question 16:

Number of circles that can be drawn through three non-collinear points is

 

Question 17:

In the figure, dotted region AOB is called ______.

https://media.learnohub.comhttps://cdn.examfear.com/u-img/00/00/39/00003966.png

 

Question 18:

If AB = 12 cm, BC = 16 cm and AB is perpendicular to BC then radius of the circle is _____.

https://media.learnohub.comhttps://cdn.examfear.com/u-img/00/00/34/00003449.png

     

Question 19:

In the given figure, BC is the diameter of the circle and BAO = 6. Then ADC is equal to

Question 20:

In the figure, PQR = 1000, where P, Q and R are points on a circle with centre O. Find OPR.

 

**********

 

Problem-solving on Class 9 Maths Circles NCERT Chapter 10 after learning a theoretical concept is crucial for several reasons:

  1. Application of Knowledge: Problem-solving allows you to apply the theoretical concepts of the topic Class 9 Maths Circles you have learned to real-life situations. It helps you bridge the gap between abstract knowledge and practical scenarios, making the learning more relevant and meaningful.
  2. Understanding Deeper Concepts: When you encounter problems related to a theoretical concept that you learned in Class 9 Maths Circles NCERT Chapter 10, you are forced to delve deeper into its intricacies. This deeper understanding enhances your comprehension of the subject and strengthens your grasp of the underlying principles.
  3. Critical Thinking: Problem-solving encourages critical thinking and analytical skills. It requires you to analyze the problem, identify relevant information, and devise a logical solution. This process sharpens your mind and improves your ability to approach complex challenges effectively.
  4. Retention and Recall: Actively engaging in problem-solving reinforces your memory and improves long-term retention. Applying the concepts learned in Circles Class 9 Maths in practical scenarios helps you remember them better than passive reading or memorization.
  5. Identifying Knowledge Gaps: When you attempt to solve problems, you may encounter areas where your understanding is lacking. These knowledge gaps become evident during problem-solving, and you can then focus on filling those gaps through further study and practice. You can refer Circles Class 9 Maths Notes on LearnoHub.com
  6. Boosting Confidence: Successfully solving problems after learning a theoretical concept boosts your confidence in your abilities to handle Circles. This confidence motivates you to tackle more challenging tasks and improves your overall performance in the subject.
  7. Preparation for Exams and Challenges: Many exams, especially in science, mathematics, and engineering, involve problem-solving tasks. Regular practice in problem-solving prepares you to face these exams with confidence and perform well. It is also advised to take tests on Circles Class 9 Maths Online Tests at LearnoHub.com.
  8. Enhancing Creativity: Problem-solving often requires thinking outside the box and exploring various approaches. This fosters creativity and innovation, enabling you to come up with novel solutions to different problems.
  9. Life Skills Development: Problem-solving is a valuable life skill that extends beyond academics. It equips you with the ability to tackle various challenges you may encounter in personal and professional life.
  10. Improving Decision Making: Problem-solving involves making decisions based on available information and logical reasoning. Practicing problem-solving enhances your decision-making skills, making you more effective in making informed choices.

In summary, problem-solving after learning a theoretical concept on CBSE Circles Class 9 Maths is an essential part of the learning process. It enhances your understanding, critical thinking abilities, and retention of knowledge. Moreover, it equips you with valuable skills that are applicable in academic, personal, and professional contexts.

You must have heard of the phrase “Practice makes a man perfect”. Well, not just a man, practice indeed enhances perfection of every individual.

Practicing questions plays a pivotal role in achieving excellence in exams. Just as the adage goes, "Practice makes perfect," dedicating time to solve a diverse range of exam-related questions yields manifold benefits. Firstly, practicing questions allows students to familiarize themselves with the exam format and types of problems they might encounter. This familiarity instills confidence, reducing anxiety and improving performance on the actual exam day. Secondly, continuous practice sharpens problem-solving skills and enhances critical thinking, enabling students to approach complex problems with clarity and efficiency. Thirdly, it aids in identifying weak areas, allowing students to focus their efforts on improving specific topics. Moreover, practice aids in memory retention, as active engagement with the material reinforces learning. Regular practice also hones time management skills, ensuring that students can allocate appropriate time to each question during the exam. Overall, practicing questions not only boosts exam performance but also instills a deeper understanding of the subject matter, fostering a holistic and effective learning experience.

All About Daily Practice Problems on Class 9 Maths Circles NCERT Chapter 10

Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on Class 9 Maths Circles NCERT Chapter 10 useful.

Last but not least, to get the best hold on Class 9 Maths Circles NCERT Chapter 10, do not forget to check out:

  • Circles Class 9 Maths Best videos
  • Circles Class 9 Maths NCERT Solutions
  • Class 9 Maths Circles Revision notes
  • Circles Class 9 Maths DPPs, Download PDF of solutions
  • Class 9 Maths Circles Online Tests
  • Class 9 Maths Sample papers

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