NCERT Class 10 Math Chapter 10: वृत PDF Download

NCERT Class 10 Math Chapter 10 वृत (Circles) deals with the important concepts of tangents drawn to a circle and their properties. In earlier classes, students have already studied the basics of a circle, chords, arcs, and other related terms. In this chapter, the focus is mainly on tangents and the number of tangents that

NCERT Class 10 Math Chapter 10 वृत (Circles) deals with the important concepts of tangents drawn to a circle and their properties. In earlier classes, students have already studied the basics of a circle, chords, arcs, and other related terms. In this chapter, the focus is mainly on tangents and the number of tangents that can be drawn from a given point to a circle. These concepts are very useful in geometry and also carry good weightage in the board exams.

I am writing about this chapter because many students feel that geometry becomes tricky when it moves towards abstract concepts. But in reality, वृत is one of the easiest chapters once the logic is understood. The properties taught here are straightforward and can be applied in solving both direct and application-based questions. For example, knowing that the tangent to a circle is always perpendicular to the radius at the point of contact helps in solving many problems quickly. Understanding this chapter also builds a base for higher classes where circles and tangents play an important role in coordinate geometry and calculus. Having the NCERT PDF at hand helps students revise formulas, go through solved examples, and practise exercises in an organised way.

Key Concepts in Chapter 10 वृत

This chapter includes:

Definition and properties of tangent to a circle
Theorem: A tangent at any point of a circle is perpendicular to the radius through the point of contact
Theorem: The lengths of tangents drawn from an external point to a circle are equal
Problems based on finding tangent lengths and applying properties

Example for Practice

If two tangents are drawn to a circle from an external point and the length of one tangent is 5 cm, then the other tangent is also 5 cm because tangents from an external point are always equal.

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Students can download NCERT Class 10 Math Chapter 10: वृत PDF free of cost from this website.

NCERT Class 10 Math Chapter 14: प्रायिकता PDF Download

NCERT Class 10 Math Chapter 14 प्रायिकता (Probability) introduces students to the concept of chance and likelihood of events. In this chapter, students learn how to calculate the probability of simple events using the formula P(E) = Number of favourable outcomes ÷ Total number of outcomes. The chapter deals with real-life examples like tossing a

NCERT Class 10 Math Chapter 14 प्रायिकता (Probability) introduces students to the concept of chance and likelihood of events. In this chapter, students learn how to calculate the probability of simple events using the formula P(E) = Number of favourable outcomes ÷ Total number of outcomes. The chapter deals with real-life examples like tossing a coin, rolling a dice, or drawing cards, which makes the subject more interesting and practical. Since probability questions are common in board exams and are generally considered easy, this chapter is highly important for scoring well.

I am writing about this topic because probability is not only an important part of the Class 10 syllabus but also a concept that students will use in higher studies and real life. From predicting weather conditions to calculating risks in business, probability plays a key role. Many students initially find it confusing, but NCERT presents it in a simple and easy-to-understand manner. By practising from the NCERT book, students can build a strong foundation and develop confidence in solving probability problems. Having the PDF makes it easier for learners to access the chapter anytime, revise formulas, and attempt practice questions before exams.