CIRCLES

CIRCLES

1. Theorems

   • THE TANGENT AT ANY POINT OF A CIRCLE IS PERPENDICULAR TO THE RADIUS THROUGH THE POINT OF CONTACT
   • THE LENGTHS OF TANGENTS DRAWN FROM AN EXTERNAL POINT TO A CIRCLE ARE EQUAL

2. Tangent and tangent point

   • THERE IS ONLY ONE TANGENT AT A POINT OF CIRCLE

3. Secant to a cricle

   • A LINE INTERSECTING A CIRCLE IN TWO POINTS IS CALLED AS SECANT To A CIRCLE

4. Non intersecting lines

   • THE LINE AND CIRCLE HAVE NO COMMON POINT

5. Definition

   • THE FOCUS OF A POINT EQUIDISTANT FROM FIXED POINT. FIXED POINT IS CENTRE AND SEPARATION OF POINTS IN THE RADIUS OF CIRCLE IS CENTRE AND SEPARATION OF POINTS IN THE RADIUS OF CIRCLE

6. Facts

   • 1.THERE IS NO TANGENT TO A CIRCLE PASSING THROUGH A POINT LYING INSIDE THE CIRCLE.
   • 2. THERE IS ONE AND ONLY ONE TANGENT TO A CIRCLE PASSING THROUGH A POINT LYING ON THE CIRCLE.
   • 3.THERE ARE EXACTLY TWO TANGENT TO A CIRCLE THROUGH A POINT LINE OUTSIDE THE CIRCLE.