1. THE HIGHER MATHEMATICS CLASS
WELCOME TO
THE HIGHER MATHEMATICS CLASS

2. OBSERVE THE PICTURE CAREFULLY
TELL ME THE SHAPE OF WHEEL.

3. THE CIRCLE
CHAPTER -4
EXERCISE -4.1
BOOK BY
AKKHOR POTRA

4. LEARNING OUTCOME Equation of circle with center at origin
STUDENT CAN KNOW FROM THIS CHAPTER
About the Circle
Equation of circle with center at origin
Equation of circle with center at the fixed point

5. Definition of circle :A circle is a simple closed shape in Euclidean geometry. It is the set of all points in a plane that are at a given distance from a given point ; equivalently it is the curve traced out by a point that moves so that its distance from a given point is constant.

6. Necessary formula for circle.
1.Center at origin and radius is r the Equation becomes
2.Center at (h,k) and radius is r the Equation becomes

7. 4.Standard Equation of circle is
5.Taking (x1,y1) and (x2,y2) are the extremities of a Diameter of a Circle the Equation of circle is
6.The Equation of circle passes through the points (x1,y1) and (x2,y2) is

8. 7.If any circle touches x-axis then radius=ordinate of the center or g2=c
8.If any circle touches y-axis then radius=abscissa of the center or f2=c
9.If any circle touches both axes then center=(radius,radius)
10.The length of chord from x-axis cut by a circle =
11.The length of chord from y-axis cut by a circle =

9. Group Work
1.Find the equation of the circle which passes through the points (-6,5),(-3,-4) and (2,1) respectively.
2. Find the equation of the circle which passes through the points (3,-2),(-2,0) and the center lie on the straight line 2x-y=3.
3.Find the equation of the circle which passes through the points (1,1),(2,2) and radius is 1.

10. Evaluation
1.What is Circle?
2.Tell me Characteristics of Circle

11. HOME WORK
1.Find the equation of the circle which passes through the points (0,1),(1,0) and (2,1) respectively.
2. Find the equation of the circle which passes through the points (3,5),(6,4) and the center lie on the x-axis.
3.Find the equation of the circle which passes through the points (1,2),(3,2) and touches x-axis.

12. EUCLID ,FATHER OF GEOMETRY
THANKS TO ALL
EUCLID ,FATHER OF GEOMETRY