Analytical Geometry contains various topics in analytical geometry, which are required for the advanced and scholarship levels in mathematics of the various Examining Boards. This book is organized into nine chapters and begins with an examination of the coordinates, distance, ratio, area of a triangle, and the concept of a locus. These topics are followed by discussions of the straight line, straight lines, circle, systems of circles, ellipse, hyperbola, rectangular hyperbola and parabola. This work provides exercises for each section and each chapter ends with a miscellaneous set of examples. Answers are supplied at the end of the book. This book will prove useful to advanced analytical geometry students.Find the area of the triangle with vertices at the points (0, 0), (12, 0), (0, 5). Verify your result without use of the formula proved in this section. 31. Find the areas of the triangles with the following vertices: (i) (0, 0), (1, 3), (4, 2); (ii) (0, 0), (a, 8), (8, anbsp;...

Title | : | Analytical Geometry |

Author | : | Barry Spain |

Publisher | : | Elsevier - 2014-05-09 |

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