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IN THIS LESSON WE ARE GOING TO  STUDY  ABOUT  EQUATION OF CIRCLE GENERAL EQUATION OF CIRCLE  TANGENT AND NORMAL CONDITION OF  TANGENCY AND SOME  EXAMPLES  WITH  EXERCISES  TO CONCLUDE

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SO WHAT IS A CIRCLE? IN SIMPLE LANGUAGE,  A circle is a shape consisting of all points in a  plane which are equidistance to the given fixed point i.e. Centre. And the distance between fixed point and the curved plane is radius. Diameter is the straight line passing through Centre and joining two any points in a circle.

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Equation of a circle: If the Centre of the circle is at A( h,k ) and radius is ‘a’ then the equation of the circle is given by                                               (?-h) 2  +  (?- k) 2  =  a 2 Note ;  I f the Centre is at origin then h=k=0. Then the equation of circle be                                                          ? 2  +  ? 2  =  a 2

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What is a tangent? T angent  is a straight line which just touches the curve at a given  point.        In this figure ATB is tangent at T. The point T is called the point of contact.    NOTE: The tangent should only touch the only one point in a circle.

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Normal    Normal  is a straight line which is perpendicular to the  tangent .   In this figure, The straight line BOC is the normal to the Tangent AB.

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