Welcome to the chapter Circles, where you will study the concept of tangents to a circle and their important properties. In this chapter, you will define a tangent of a circle and understand how it touches the circle at exactly one point, called the point of contact.

You will learn and prove key theorems related to tangents, including the result that the tangent at any point of a circle is perpendicular to the radius at the point of contact. The chapter also focuses on proving that the lengths of tangents drawn from an external point to a circle are equal. Through worked examples and problem-solving, you will apply these theorems to solve numerical and real-life problems, making this chapter highly important for CBSE Board examinations.