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NCERT Solutions for Class 10 Maths Chapter 10 Circles: Download Free PDF

iacst-2022

NCERT Solutions for Class 10 Maths Chapter 10: The chapter is about understanding the relationship between circles and line. Maths Chapter 10 Circles deals with tangents to a circle, a theorem of the relationship between a tangent and the radius of the circle and the number of tangents from a point on a circle.

A circle is a collection of all points in a plane at a constant distance from a fixed point. This fixed point is called the centre. The constant distance from this centre is called the radius. A line segment joining any two points on a circle is called chord. The chord passing through the centre of the circle is called the diameter. The diameter is the longest chord.

The relationship between a circle and a line:

1. When a line and a circle have no common point is called a non-intersecting line.
2. When a line meets the circles at one point, this line of the point is known as a tangent. There can be infinite tangents to a circle.
3. When a line intersects a circle, there are two common points, and the line is known as Secant.

Maths Chapter 10 Circles further discusses the properties of a tangent to circle that includes:

  • The tangent to a circle is perpendicular to the radius passing through the point of contact.
  • A line drawn through the endpoint of a radius and perpendicular to it is the tangent to the circle.
  • The lengths of two tangents from an external point to a circle are equal.

The common point of the tangent and the circle is called the point of contact. The length of the segment of the tangent from the external point and the point of contact is called the length of the tangent. The tangents cannot be drawn from any inside points of the circle and could be only one tangent at one point of contact.

Class 10 Maths Chapter 10 Circles Video

 

NCERT Solutions for Class 10 Maths Chapter 10 Circles- Question and Answer Exercises PDF for Download

FAQs for NCERT Solutions for Class 10 Maths Chapter 10 Circles

Q. Why are NCERT Solutions Class 10 Maths Chapter 10 Circles Important?

A. NCERT Solutions for Class 10 Maths help students understand the basics of geometry. Students can use this chapter to explore simple and advanced concepts of a circle. Students can also revise topics from the previous classes. Thus, these solutions are important as they help students to lay a strong foundation for higher classes. 

Q. Do I need to Practice all questions provided in the NCERT solutions for class 10 Maths chapter Circles?

A. All questions in the NCERT Solutions Class 10 Maths Circles are vital as they give a 360-degree view of the lesson. Practicing all the sums along with examples can help students master the topic.

Q. What are the important formulas in Class 10 Maths NCERT Chapter 10 Circles?

A. NCERT Solutions Class 10 Maths Chapter 10 Circles focuses more on theorems rather than formulas. Thus, students need to focus on understanding these theories and reviewing these concepts.

Q. How can CBSE Students utilize NCERT Solutions Class 10 Maths Chapter 10 Circles effectively?

A. To utilize the NCERT Solutions Class 10 Maths Chapter 10, students need to solve each and every question from the exercises given. In case students get stuck in any of these problems, they can refer to the formulas. Additionally, it is important to get well-versed with the theory before moving forward. 

Q. What is a circle?

A. A circle is a collection of all points in a plane at a constant distance from a fixed point. This fixed point is called the centre. The constant distance from this centre is called the radius. A line segment joining any two points on a circle is called chord. The chord passing through the centre of the circle is called the diameter. The diameter is the longest chord.

NCERT Related Links

NCERT Class 10 Maths Solutions - Chapterwise PDFs for Download

NCERT Solutions For Class 10 Maths Chapter 1 Real Numbers NCERT Solutions For Class 10 Maths Chapter 2 Polynomials NCERT Solutions For Class 10 Maths Chapter 3 Pair of Linear Equations in one Variable
NCERT Solutions For Class 10 Maths Chapter 4 Quadratic Equations NCERT Solutions For Class 10 Maths Chapter 5 Arithmetic Progressions NCERT Solutions For Class 10 Maths Chapter 6 Triangles Geometry
NCERT Solutions For Class 10 Maths Chapter 7 Coordinate Geometry NCERT Solutions For Class 10 Maths Chapter 8 Introduction to Trigonometry NCERT Solutions For Class 10 Maths Chapter 9 Some Applications of Trigonometry
NCERT Solutions For Class 10 Maths Chapter 10 Circles NCERT Solutions For Class 10 Maths Chapter 11 Constructions NCERT Solutions For Class 10 Maths Chapter 12 Areas Related to Circles
NCERT Solutions For Class 10 Maths Chapter 13 Surface Areas and Volume NCERT Solutions For Class 10 Maths Chapter 14 Statistics

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