NCERT Solutions for Class 10 Maths Chapter 10 Circles

NCERT Solutions for Class 10 Mathematics Chapter 10 Circles are a set of detailed answers and explanations for all exercises in this chapter. They help students understand the properties of circles, tangents and theorems and solve related geometrical problems. These solutions cover Exercises 10.1, 10.2 and 10.3, providing step-by-step explanations along with diagrams. They are essential for exam preparation as they include important questions and concepts that frequently appear in CBSE board exams. Students can also access these solutions in PDF format, making it convenient for offline study and quick revisions.

There are two exercises in class 10 Maths chapter 10. Exercises 10.2 contains all the important questions which are generally asked in school tests and board exams also. The last 5 questions given in ex. 10.2 is really very good questions to asked in exams.

NCERT Detailed Solutions for Circles Class 10 are specifically designed to align with the CBSE syllabus and exam patterns. They provide thorough explanations of concepts like tangents to a circle, properties of tangents and related theorems, ensuring students understand every topic in detail. These solutions include Class 10 Mathematics Chapter 10 Important Questions, MCQ and Class 10 Circles Theorems, which are frequently asked in exams. With resources like notes, worksheets and PDF, students can revise quickly and effectively. Practicing the provided exercises ensures a deeper understanding and builds confidence to solve challenging problems during exams.

Circle: A circle is the set of points in a plane which are at the same distance from a fixed point in the plane. The fixed point is called the centre of the circle and the line segment joining the centre & a point on circle is called radius.
Tangent to a circle: If a line drawn in the plane of a circle intersects the circle in one and only one point, then the line is called a tangent to the circle and the point at which the line intersect the circle is called the point of contact of the line with the circle.

You can find the NCERT Exercise Solutions for Class 10 Maths Chapter 10 Circles in PDF format on various educational platforms and websites. These PDF include detailed solutions for all exercises, including 10.1, 10.2 and 10.3, along with important formulas and notes. The downloadable format allows students to access these resources anytime, even offline. They are a convenient way to revise theorems, solve questions and practice problems. Look for trusted sources to ensure accuracy and alignment with the CBSE syllabus, as these PDFs are an excellent tool for effective learning and revision.

There are two theorems which asked in board exams to prove.
Theorems on tangent to a circle:
(i). A tangent to a circle is perpendicular to the radius drawn from point of contact or A line drawn perpendicular to a radius at its end point on the circle is a tangent to the circle.
(ii). the tangents drawn to a circle from a point in the exterior of the circle are equal in length or the lengths of tangents drawn from an external point to a circle are equal.

To study Chapter 10 Circles effectively, you should begin with the NCERT Class 10 Mathematics Book Solutions, which offer clear and concise explanations. Use additional resources like Class 10 Math Circles Notes and Worksheets to strengthen your understanding. Focus on solving Important Questions to prepare for potential exam questions. Downloading the Class 10 Maths Chapter 10 Notes PDF provides instant access to key formulas and solved examples. Practice exercises like 10.1, 10.2 and 10.3 thoroughly, as they cover all critical concepts. Regular practice and revision of these materials will ensure success in exams.

There are 2 exercises in class 10 chapter 10 Circles.
In first exercise (Ex 10.1), there are only 4 questions.
In second exercise (Ex 10.2), there are in all 13 questions.
So, there are in all 17 questions in class 10 chapter 10 Circles.
There are only 3 examples (example 1, 2 and 3) in class 10 chapter 10 Circles.

In chapter 10 Circles of class 10 maths, students will study:
1) Meaning of Tangent to a Circle.
2) Meaning of Secant of the circle.
3) Point of Contact.
4) Theorem 10.1 “The tangent at any point of a circle is perpendicular to the radius through the point of contact”.
5) Number of Tangents from a Point on a Circle.
6) Length of the Tangent.
7) Theorem 10.2 “The lengths of tangents drawn from an external point to a circle are equal.”

There are only two theorems in chapter 10 Circles of 10th Math and proof of any theorem can come in exam because both the theorems are equally important from exam point of view. For exams students should prepare both the theorems.

Students need maximum 6-7 days to complete chapter 10 (Circles) of class 10th mathematics if they are giving 1 hour per day to chapter 10. Also this time depends on student’s speed, capability and many other factors.