Circles Notes For Class 10 Math Chapter 10 Download PDF

Chapter 10 : Circles Notes Download PDF

The path of all points that are equidistant from a fixed point is called a circle.

A line which intersects a circle in two distinct points is called a secant of the circle.

**NOTE :**- A line can meet a circle at most in two distinct points.

A line which meets a circle exactly at one point is called a tangent to the circle. In adjoining figure, the line BAC is a tangent to the circle with centre O.

**NOTE :**- The point where the line touches the circle is called its point of contact. In the figure
â€˜Aâ€™ is the point of contact.

** REMARKS:**

1. All points other than the point of contact of a tangent to a circle lie outside the circle.

2. No tangent can be drawn to a circle through a point inside the circle.

3. Not more than one tangent can be drawn to a circle at a point on the circumference of the circle.

4. Two tangents can be drawn to a circle from a point outside the circle.

AB and AC are two tangents drawn from the point A to the circle with centre 0.

** NOTE :**- The distance AB (or AC) is called the length of tangent.

The tangent at any point of a circle is perpendicular to the radius through the point of contact.

We have given a circle with centre 0 and a tangent XY to the circle at a point P then OP i perpendicular to XY.

The lengths of tangents drawn from an external point to a circle are equal. We have a circle with centre 0, a point P lying outside the circle and two tangents PQ, PR on the circle from P then PQ = PR.

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- Chapter 7 : Coordinate Geometry
- Chapter 1 Real Numbers
- Chapter 2 Polynomials
- Chapter 3: Pair of Linear Equations in Two Variables
- Chapter 6 Lines and Angles
- hapter 14 : STATISTICS
- Chapter 6 : Triangles
- Chapter 8 : Introduction to trigonometry
- Chapter 4: Quadratic Equations
- Chapter 5 : Arithmetic Progressions
- Chapter 9 : Some Applications of Trigonometry
- Chapter 10 : Circles
- Chapter 11 : Constructions
- Chapter 12 : Area Related to Circles
- Chapter 13 : Surface Areas and Volumes
- Chapter 15 : Probability

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