Circles Class 10 Maths NCERT Solutions Chapter 10 is concerned with the understanding of various aspects of circles. Circles are essential in mathematics because they are covered extensively in the geometry curriculum. Students preparing for their Class 10 exams will be able to clear all their concepts on circles at the root level. Expert faculty of Toppr produced these solutions to assist students with their first term exam preparations. It covers all major concepts in detail, allowing students to understand the ideas better.
Circles Class 10 NCERT Solutions Circles, the tenth chapter of the section, concentrates on the essential concepts such as the tangents, the lengths of tangents, normal to a circle, the radius-tangent relationship, and so on. The properties based on the above mentioned topics are used to solve questions related to these topics step by step. All of these solutions are designed with the new CBSE pattern in mind so that students have a complete understanding of their tests.
Circle Class 10 Chapter 10 Questions and Answers are very useful for getting good grades in tests and properly preparing you with all of the important concepts. These NCERT Solutions are valuable tools that can assist you not only in covering the full syllabus but also in providing an in-depth analysis of the subjects. The Chapter 10 Maths Class 10 NCERT Solutions are available in pdf format below, and some of them are also included in the exercises.
Let P be any point on the circle with center
Take a line L through P and Q as shown if L is perpendicular to OP
because the perpendicular distance is shortest.
Every point except P lies outside the circle and line must be a tangent. At any given point one and only one tangent can be drawn.
PA and PB are two tangents a circle and
To find that
Proof:- Since and
The value of is
A circle is a two-dimensional shape formed by all points in a plane that are equidistant from a specific point, called the center.
The tangent line to a plane curve at a given location in geometry is the straight line that "almost touches" the curve at that point. When the two endpoints of a chord coincide, the tangent to a circle is a specific case of the secant. A tangent to a circle is a line that only touches the circle once.
Few properties of tangents to a circle:
Q1. What are the most important topics in NCERT Class 10 Chapter 10 Circles?
Answer: NCERT Solutions for Class 10 Maths Chapter 10 covers the following topics: introduction to circles, tangent to a circle, lengths of tangents, number of tangents from a point on a circle, the radius-tangent relationship, and the chapter summary.
Q2. How many exercises are there in Chapter 10 of Class 10 Maths?
Answer: NCERT Solutions Class 10 Maths Chapter 10 Circles contains a total of 17 questions separated into 2 exercises. Class 10 Maths Chapter 10 Circles contains a total of 17 sums, 10 of which are simple, 3 of which are fairly complicated, and 4 of which are tough.
Q3. How many tangents can a circle have?
Answer: Generally, there is no limit to the number of tangents a circle can have. It can be limitless since a circle is made up of infinite points that are all equally far from one another. Because there are infinite locations on the circumference of a circle, infinite tangents can be traced from them.
Q4. Do I have to practice all of the questions in NCERT Solutions Class 10 Maths Chapter 10 Circles?
Answer: All questions in NCERT Solutions Class 10 Maths Circles are based on key concepts that provide a comprehensive overview of the subject. Because the problems can be complex, practising all of the sums, as well as the examples, can help students learn the idea of circles and understand how to use various formulas. Students must also revise the given theorems and practice questions twice because the sums are proof-based.