NCERT Solutions for Class 10 Maths Chapter 10 Circles MCQ

NCERT MCQ Solutions for Class 10 Mathematics Chapter 10 Circles provide students with a comprehensive set of multiple-choice questions covering important concepts like tangents, secants and circle theorems. NCERT Maths MCQ solutions help in strengthening problem-solving skills and improving accuracy for board exams. Practicing Class 10 Maths Circles MCQ with Answers enhances conceptual clarity. CBSE Class 10 Math Chapter 10 MCQs are designed to test students’ understanding and application of circle properties, making them a valuable resource for exam preparation.
Class 10 Maths Chapter 10 NCERT Solutions
Class 10 Multiple Choice Questions
Class 10 Mathematics MCQ

NCERT Class 10th Maths Chapter 10 MCQs Importance

Class 10 Mathematics Chapter 10 Complete MCQs play a lead role in assessing a student’s understanding of the topic Circles. Multiple Choice Questions help students develop critical thinking skills and enhance their ability to analyze problems efficiently. By solving NCERT Textbook Class 10 Math Circles MCQ with Answers, students can identify their weak areas and improve their problem-solving speed. Class 10 NCERT Math MCQs are designed to test various aspects of the chapter, including theorems, properties and practical applications. Attempting Class 10 Maths Chapter 10 MCQ Online Test can also be beneficial for board exams as it prepares students for different types of questions. Using a Class 10 Mathematics Circles MCQ Worksheet allows students to practice systematically and retain mathematical concepts for a longer time.

Q1. From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is

[A]. 7 cm

[B]. 12 cm

[C]. 15 cm

[D]. 24.5 cm

Q2. How many parallel tangents can a circle have?

[A]. 1

[B]. 2

[C]. Infinite

[D]. None of these

Concepts Covered in Class 10 Mathematics Circles Multiple Choice Questions

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In Class 10 Mathematics, the chapter 10 on Circles introduces several essential theorems and properties that form the basis for various geometrical concepts. CBSE Class 10 Maths Chapter 10 MCQs include questions on the tangent properties, number of tangents from a point to a circle and angle properties related to circles. Practicing NCERT Book Class 10th Math Chapter 10 Objective Questions helps students reinforce their conceptual understanding. Attempting Multiple Choice Questions on Circles for Class 10 can strengthen their grasp on the topic by covering different difficulty levels. Solving Class 10 Mathematics NCERT Chapter 10 MCQ Test regularly ensures students develop logical reasoning skills and accuracy in selecting the correct answer.

Q3. ABC is a right angled triangle, right angled at B such that BC = 6cm and AB = 8cm. A circle with centre O is inscribed in Triangle ABC. The radius of the circle is

[A]. 1 cm

[B]. 2 cm

[C]. 3 cm

[D]. 4 cm

Q4. In a right angle triangle ABC, right angled at B, BC = 12 cm and AB = 5 cm. The radius of the circle inscribed in the triangle (in cm) is

[A]. 1

[B]. 2

[C]. 3

[D]. 4

Ways to Solve Class 10 Maths Circles MCQ Questions Effectively

To efficiently tackle NCERT Class 10 Mathematics Circles Quiz, students must adopt a strategic approach. Understanding the fundamental properties of circles, such as the tangent theorem and alternate segment theorem, can significantly enhance problem-solving skills. Practicing Important MCQs on Circles NCERT Exemplar Book Class 10 regularly allows students to become familiar with commonly asked question patterns. Using Exemplar Book Class 10 Maths Chapter 10 MCQ PDF helps in revision as students can access structured questions anytime. Practicing NCERT Books Solutions Class 10 Math Circles MCQ Practice Questions can refine speed and accuracy. Reviewing mistakes and analyzing incorrect answers can prevent errors in actual exams. Understanding the relationship between radius, chord and tangents helps in answering questions with logical reasoning.

Q5. If the angle between the ratio of a circle is 100°, then the angle between the tangents at the end of these radii is

[A]. 50°

[B]. 60°

[C]. 80°

[D]. 90°

Q6. If two perpendicular tangents PA and PB are drawn from an external point to a circle of radius 4cm, then the length of each tangent is

[A]. 3 cm

[B]. 4 cm

[C]. 5 cm

[D]. 6 cm

Advantages of Doing Class 10 Maths Circles MCQ Test Papers

Regularly solving Class 10 Mathematics Circles MCQ Test Paper provides multiple benefits for students preparing for their exams. NCERT Math MCQ tests enhance time management skills and enable students to solve problems within a limited time-frame. Attempting Class 10 Maths Chapter 10 MCQ Exam before the final board exam boosts confidence and reduces anxiety. Using NCERT Exemplar Book Class 10 Maths Circles MCQ Sample Paper can help students evaluate their preparation level and rectify conceptual errors. Revising with NCERT Exemplar Class 10 Maths Chapter 10 MCQ Questions and Answers strengthens problem-solving ability and helps retain important formulas. By solving a variety of Class 10 Mathematics Circles MCQ Online Quiz, students can adapt to different types of questions and improve their accuracy.

Q7. If angle between two radii of a circle is 130°, the angle between the tangents at the ends of radii is

[A]. 90°

[B]. 70°

[C]. 50°

[D]. 40°

Q8. If PA and PB are tangents to the circle with the centre O such that angle APB = 50°, then angle OAB is equal to

[A]. 25°

[B]. 30°

[C]. 40°

[D]. 50°

Preparation and Revision with Class 10 Maths Chapter 10 MCQs

For effective revision, students must use Class 10 Mathematics Chapter 10 MCQ Questions PDF, as it provides well-structured questions covering all key concepts. Revisiting Class 10 Maths Circles MCQ with Solutions ensures students understand the correct approach to solving different types of problems. Downloading NCERT Class 10 Maths Chapter 10 MCQ Download files allows offline practice, making revision convenient. Working with NCERT Class 10 Maths Circles MCQ Test Online can simulate real exam scenarios and improve confidence. Solving Class 10 Math Chapter 10 MCQ Questions Online just before the final exam can refine accuracy and speed, ensuring a solid performance in the subject.

Q9. The maximum number of common tangents that can be drawn to two circles intersecting at two distinct points is

[A]. 1

[B]. 2

[C]. 3

[D]. 4

Q10. If from a point A which is at distance of 13 cm from the centre O of a circle of radius 5cm, the pair of tangent AB and AC to the circle are drawn, then the area of quadrilateral ABOC is

[A]. 50 cm²

[B]. 60 cm²

[C]. 80 cm²

[D]. 120 cm²

Why is practicing Class 10 Maths Chapter 10 MCQs important for CBSE Maths Exams?

Practicing NCERT Class 10 Mathematics Chapter 10 MCQs is required for board exam preparation because it helps students enhance their problem-solving skills and speed. Multiple Choice Questions test the conceptual clarity of Circles, including properties of tangents, the number of tangents from external points and theorems like the Alternate Segment Theorem. By attempting Class 10 Maths Circles MCQ with Answers, students can identify their weak areas and improve accuracy. Class 10 Maths Chapter 10 MCQ Online Test provides real-time exam simulation, which helps students manage time efficiently. Solving MCQs also boosts confidence and ensures a deeper understanding of mathematical concepts, reducing errors in exams.

NCERT MCQ Solutions for Class 10 Maths Chapter 10 Circles

NCERT Class 10th Maths Chapter 10 MCQs Importance

Q1. From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is

Q2. How many parallel tangents can a circle have?

Concepts Covered in Class 10 Mathematics Circles Multiple Choice Questions

Q3. ABC is a right angled triangle, right angled at B such that BC = 6cm and AB = 8cm. A circle with centre O is inscribed in Triangle ABC. The radius of the circle is

Q4. In a right angle triangle ABC, right angled at B, BC = 12 cm and AB = 5 cm. The radius of the circle inscribed in the triangle (in cm) is

Ways to Solve Class 10 Maths Circles MCQ Questions Effectively

Q5. If the angle between the ratio of a circle is 100°, then the angle between the tangents at the end of these radii is

Q6. If two perpendicular tangents PA and PB are drawn from an external point to a circle of radius 4cm, then the length of each tangent is

Advantages of Doing Class 10 Maths Circles MCQ Test Papers

Q7. If angle between two radii of a circle is 130°, the angle between the tangents at the ends of radii is

Q8. If PA and PB are tangents to the circle with the centre O such that angle APB = 50°, then angle OAB is equal to

Preparation and Revision with Class 10 Maths Chapter 10 MCQs

Q9. The maximum number of common tangents that can be drawn to two circles intersecting at two distinct points is

Q10. If from a point A which is at distance of 13 cm from the centre O of a circle of radius 5cm, the pair of tangent AB and AC to the circle are drawn, then the area of quadrilateral ABOC is

Why is practicing Class 10 Maths Chapter 10 MCQs important for CBSE Maths Exams?

How can students effectively prepare for Class 10 Maths Circles MCQ questions?

Where can students find reliable Class 10 Maths Chapter 10 MCQ resources?