CBSE Class 10 Mathematics Circles Notes Set 01

Class-X

Chapter 10: Circles

Top Definitions 

1. A tangent to a circle is a line that intersects the circle only at one point.

2. The common point of the circle and the tangent is called point of contact.

3. The length of the segment of the tangent from the external point P and the point of contact with the circle is called the length of the tangent.

4. Pythagoras theorem: In a right triangle, square of the hypotenuse is equal to the sum of the square of the other two sides.

Top Concepts

1. A tangent to a circle is a special case of the secant when the two end points of the corresponding chord coincide.

2. There is no tangent to a circle passing through a point lying inside the circle.

3. There are exactly two tangents to a circle through a point outside the circle.

4. At any point on the circle there can be one and only one tangent.

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

6. The lengths of the tangents drawn from an external point to a circle are equal.

7. The center lies on the bisector of the angle between the two tangents.

8. There can be infinite number of chords passing through a point which is inside the circle

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