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The Elements of Coordinate Geometry Part-1
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The Elements of Coordinate Geometry Part-1

Rs.140.00

140 INR
    ISBN: 9789385966552
    Author: S.L.LONEY
    Edition: 2016
    Pages: 392
  • Shipping Weight: 336gms
  • Classes: Class 11, Class 12
  • Exams: School Books
  • Subjects: Mathematics
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Product Description
CONTENT
 
1. Introduction
2. Coordinates, Lengths of Straight Lines and Areas of
Triangles
 Polar coordinates
3. Locus, Equation to a Locus
4. The Straight Line, Rectangular Coordinates
 Straight line through two points
 Angle between two given straight lines
 Conditions that they may be parallel and perpendicular
 Length of a perpendicular
 Bisectors of angles
5. The Straight Line (Continued)
Polar Equations and Oblique Coordinates
 Equations involving an arbitrary constant
 Examples of loci
6. On Equations Representing Two or More Straight Lines
 Angle between two lines given by one equation
 General equation of the second degree
7. Transformation of Coordinates
 Invariants
8. The Circle
 Equation to a tangent
 Pole and polar
 Equation to a circle in polar coordinates
 Equation referred to oblique axes
 Equations in terms of one variable
9. Systems of Circles
 Orthogonal circles
 Radical axis
 Coaxal circles
10. The Parabola
 Equation to a tangent
 Some properties of the parabola
 Pole and polar
 Diameters
 Equations in terms of one variable
11. The Parabola (Continued)
 Loci connected with the parabola
 Three normals passing through a given point
 Parabola referred to two tangents as axes
12. The Ellipse
 Auxiliary circle and eccentric angle
 Equation to a tangent
 Some properties of the ellipse
 Pole and polar
 Conjugate diameters
 Four normals through any point
 Examples of loci
13. The Hyperbola
 Asymptotes
 Equation referred to the asymptotes as axes
 One variable. Examples
14. Polar Equation of a Conic Section, Its Focus being the Pole
 Polar equation to a tangent, polar, and normal
15. General Equation of the Second Degree, Tracing of Curves
 Particular cases of conic sections
 Transformation of equation to centre as origin
 Equation to asymptotes
 Tracing a parabola
 Tracing a central conic
 Eccentricity and foci of general conic
16. The General Conic
 Tangent
 Conjugate diameters
 Conics through the intersections of two conics
 The equation S = uv
 General equation to the pair of tangents drawn from
any point
 The director circle
 The foci
 The axes
 Lengths of straight lines drawn in given directions
to meet the conic.
 Conics passing through four points
 Conics touching four lines
 The conic LM = R2
17. Miscellaneous Propositions
 On the four normals from any point to a central conic
 Confocal conics
 Circles of curvature and contact of the third order
 Envelopes
 Answers 
 


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