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 PointGradient 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 planeArea of Quadrilateral in the x-y planeLocus of points in the x-y planeThe 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 OriginEquation 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 ellipseArea and Perimeter of an EllipseEquation of the Tangent to an EllipseEquation of the Normal to an EllipseEquation 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 HyperbolaEccentricity of a hyperbola.Equation of the Tangent to a Hyperbola.Equation of the Normal to a Hyperbola.This book follows a self-guided approach which enables you to move through the material at your own pace―gradually building upon your knowledge while you strengthen your critical thinking and problem-solving skills. This worked examples-packed maths book puts you on the fast-track to mastering the basics of the straight line and conic section..
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