CIRCLES

CIRCLES

1. Definition

   • Circle is a collection of all points in a plane which are at a constant distance from a fixedpoint

2. Non intersecting Lines

   • No common point between line and circle

3. Secant

   • There are two common points between line and circle

4. Tangent

   • Only one common point between circle and line

5. Facts

   • There is no tangents to a circle through a point lying inside the circle
   • There is one and only one tangents to a circle through a point lying on the circle
   • There are exactly two tangents to a circle through a point lying outside the circle

6. Theorems

   • length of tangents drawn from an external point to a circle are equal
   • The tangent at any point of a circle is perpendicular to the radius through the point of contact