Synopsis
Coordinate Geometry: The Straight Line, Circle, Parabola, Ellipse and Hyperbola provides an easy way to gain a solid understanding of the basics of conic section in Mathematics. Assuming no background knowledge of the subject, this clear and self teaching guide explains solved problems in ways that are easy to understand. Exercises are given at the end of each chapter for students to use to asses their understanding of the topic. Solutions to the exercises are provided at the end of the book.
This math book is an ideal resource for students in high schools and colleges/universities, and for those preparing for admission and need to take entrance test or exam.
Topics covered in this textbook include:
- The Coordinates of a Point
- Gradient of a Straight Line.
- Equation of a Line.
- Gradient of Parallel Lines.
- Gradient of Perpendicular Lines.
- Intercept on the x and y axes.
- Point of Intersection of Two Lines.
- Distance between Two Points.
- The Mid-point of a Line.
- Division of a Line in a Given Ratio.
- The Angle of Slope of a Line.
- Perpendicular Distance between a Point and a Line.
- Angle between Two Lines.
- Area of Triangle in the x-y plane
- Area of Quadrilateral in the x-y plane
- Locus of points in the x-y plane
- The General Equation of a Circle.
- The Equation of a Circle When Given the Center and a Point.
- Equation of Tangent and Normal to a Circle.
- Length of a Tangent to a Circle from an External Point.
- Equation of a Parabola when the Vertex is not at the Origin
- Equation of a Parabola given Focus and Directrix, and Vertex not at the Origin.
- Equation of a Parabola when Given the Focus and the Vertex.
- Equation of a Parabola when given the Vertex and the Directrix.
- Latus Rectum of an Ellipse.
- Eccentricity of an ellipse
- Area and Perimeter of an Ellipse
- Equation of the Tangent to an Ellipse
- Equation of the Normal to an Ellipse
- Equation of an Ellipse given the Foci and the Vertices, and the Center not at the Origin (0, 0)
- Equation of a Hyperbola when the Center not at the Origin.
- Latus Rectum of a Hyperbola
- Eccentricity of a hyperbola.
- Equation of the Tangent to a Hyperbola.
- Equation of the Normal to a Hyperbola.
If you want to see other books written by the author, just simply search for the author's name, Kingsley Augustine on amazon.com
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