## Co-ordinate GeometryThis book of Co-ordinate Geometry has been especially written to meet the requirements of B.A/B.Sc. students. The subject matter has been discussed in such a simple way that the student will find no difficulty to understand it. The proof of various theorems and examples have been given with minute details each chapter of this books. Contains complete theory and large number of solved examples sufficient problems have also been selected from various competitive examinations. Contents: Introduction to Co-ordinate Geometry, Equations Representing, Two or More Straight Lines. |

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### Contents

Introduction to Coordinate Geometry | 1 |

Two Points Section Formulae Formula for External Division | 12 |

Equations Representing Two or More Straight Lines | 177 |

Represented by the Equation Lines Joining the Origin to | 197 |

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2hxy a2 sin2 angular points b2 cos2 bisecting the angles bisector Cartesian co-ordinates centroid co-ordinates the equation coefficients collinear cos2 0 sin2 cos3 cosco cosec equation is x2 equation represents equation x2 equilateral triangle Example Find the area Find the co-ordinates Find the equation find the locus fixed point given equation given line given points given straight line Hence the equation Hence the required incentre intercepts length of perpendicular Let the equation line ax line perpendicular lines given lines represented lines whose equations lines y loci are represented mid-point middle point orthocentre pairs of straight parallel to y-axis parallelogram point of intersection Putting the values ratio represents 2 straight represents two straight required equation respectively right angles sides Similarly sin2 0 cos2 slope Solution Solving straight line joining straight line passing tan0 triangle formed triangle the co-ordinates vertex x-axis y sin