R D Sharma Ch 15. Circle

Circle Sections in R D Sharma

Section Review

Find out how much you much remember about each section

1. Definition


2. Standard equation of a circle

3. Some particular cases of standard equation of a circle

4. General equation of a circle

5. Equation of a circle when the coordinates of end points of a diameter are given

6. Intercepts of the axes

7. Position of a point with respect to a circle

8. equation of a circle in parametric form

9. Intersection of a straight line and a circle

10. The length of the intercept cut off from a line by a circle

11.Tangent to a circle at a given point

12 Normal to a circle at a given point

13. Length of the tangent from a point to a circle

14. Pair of tangents drawn from a point to given circle

15. Combined equation of pair of tangents

16. Director circle and its equation

17. Chord of contacts of tangents

18. Pole and Polar

19. Equation of the chord bisected at a given point

20. Diameter of a circle – Locus of middle points of parallel chords

21. Common tangents to two circles

22. Common chord of two circles

23. Angle of intersection of two curves and the condition of orthogonality of two circles

24. Radical axis

25. Equation of a circle through the intersection of a circle and line

26. Circle through the intersection of the two circles

27. Coaxial system of circles