I am posting section headings of each chapter in this series to facilitate a quick revision of the material in the chapter.After you study the chapter on a day, the next day you can look at the section review sheet and recollect the material. Or you can take a print out and write down what you remember. Such a process will help in retaining the material that you studied well for a longer time. You need to revise material at frequent intervals to retain it in your memory.
I shall post the concept of each section in a separate blog.
www.iit-jee-maths.blogspot.com
Monday, May 19, 2008
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
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
R D Sharma Ch. 16. Parabola
Ch. 16. Parabola-RDS-
Section Review
Find out how much you remember about each section
1. Conic sections: Definition
2. The parabola
3. Equation of parabola in its standard form
4. Some other standard forms of parabola
5. Position of a point with respect to a parabola
6. Equation of a parabola in parametric form
7. Equation of the chord joining any two points on the parabola
8. Intersection of a straight line and a parabola
9. Equation of tangent in different forms
10. Equation of normal in different forms
11 Number of normals drawn from a point to a parabola
12. Some results in conormal points
13 Number of tangents drawn from a point to a parabola
13a. Equation of the pair of tangents from a point to a parabola
14. Equation of the chord of contacts of tangents to a parabola
15. Equation of the chord bisected at a given point
16. Equation of diameter of a parabola
17. Length of tangent, subtangent, normal and subnormal
18. Pole and Polar
19. some important results at a glance
Section Review
Find out how much you remember about each section
1. Conic sections: Definition
2. The parabola
3. Equation of parabola in its standard form
4. Some other standard forms of parabola
5. Position of a point with respect to a parabola
6. Equation of a parabola in parametric form
7. Equation of the chord joining any two points on the parabola
8. Intersection of a straight line and a parabola
9. Equation of tangent in different forms
10. Equation of normal in different forms
11 Number of normals drawn from a point to a parabola
12. Some results in conormal points
13 Number of tangents drawn from a point to a parabola
13a. Equation of the pair of tangents from a point to a parabola
14. Equation of the chord of contacts of tangents to a parabola
15. Equation of the chord bisected at a given point
16. Equation of diameter of a parabola
17. Length of tangent, subtangent, normal and subnormal
18. Pole and Polar
19. some important results at a glance
R D Sharma Ch. 17. Ellipse
Ch. 17. Ellipse Parabola-RDS-
Section Review
Find out how much you remember about each section
1. Introduction
2. Equation of ellipse in its standard form
3.Second focus and second directrix of the ellipse
4. Vertices, major and minor axes, foci, directrices and centre of the ellipse
5. Ordinate, double ordinate and latus rectum of the ellipse
6. focal distances of a point on the ellipse
7. equation of ellipse in other forms
8. Position of a point with respect to an ellipse
9 .Parametric equations and parametric coordinates
10. Equation of the chord joining any two points on an ellipse
11. Condition of a line to be a tangent to an ellipse
12. Equation of tangent in terms of its slope
13. Equation of tangent at a point
14 Number of tangents drawn from a point to an ellipse
15. Equation of normal in different forms
16 Number of normals
17. Properties of eccentric angles of the conormal points
18. Equation of the pair of tangents from a point to an ellipse
19. Equation of the chord of contacts of tangents
19a. Equation of the chord bisected at a given point
20. Equation of diameter of an ellipse
21. Some properties of ellipse
Section Review
Find out how much you remember about each section
1. Introduction
2. Equation of ellipse in its standard form
3.Second focus and second directrix of the ellipse
4. Vertices, major and minor axes, foci, directrices and centre of the ellipse
5. Ordinate, double ordinate and latus rectum of the ellipse
6. focal distances of a point on the ellipse
7. equation of ellipse in other forms
8. Position of a point with respect to an ellipse
9 .Parametric equations and parametric coordinates
10. Equation of the chord joining any two points on an ellipse
11. Condition of a line to be a tangent to an ellipse
12. Equation of tangent in terms of its slope
13. Equation of tangent at a point
14 Number of tangents drawn from a point to an ellipse
15. Equation of normal in different forms
16 Number of normals
17. Properties of eccentric angles of the conormal points
18. Equation of the pair of tangents from a point to an ellipse
19. Equation of the chord of contacts of tangents
19a. Equation of the chord bisected at a given point
20. Equation of diameter of an ellipse
21. Some properties of ellipse
27. Definite Integrals
27. Definite Integrals
Section Review
1. Definite integrals
2. Evaluation of definite integrals
3. Geometric interpretation of definite integrals
4. Evaluation of definite integrals by substitution
5. Properties of definite integrals
6. Integral function
7. Summation of series using definite integral as the limit of a sum
8. Gamma function
Section Review
1. Definite integrals
2. Evaluation of definite integrals
3. Geometric interpretation of definite integrals
4. Evaluation of definite integrals by substitution
5. Properties of definite integrals
6. Integral function
7. Summation of series using definite integral as the limit of a sum
8. Gamma function
IIT JEE Section Review Ch. 29. Differential Equations
R D Sharma Chapter 29. Differential Equations
1. Some definitions
2. Solution of a differential equation
3. Formation of differential equations
4. differential equations of first order and degree
5. Geometric interpretation of differential equations of first order and degree
6. Solution of differential equations of first order and degree
7. Methods of solving differential equations of first order and degree
I plan to post the concept review in learning Mathematics blog
1. Some definitions
2. Solution of a differential equation
3. Formation of differential equations
4. differential equations of first order and degree
5. Geometric interpretation of differential equations of first order and degree
6. Solution of differential equations of first order and degree
7. Methods of solving differential equations of first order and degree
I plan to post the concept review in learning Mathematics blog
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