## Analytic geometry |

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### Contents

CHAPTER PAGE I Coordinates and Loci 1 The method of analytic geometry | 3 |

A geometric scale of numbers | 4 |

Cartesian coordinates | 5 |

Copyright | |

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abscissa Analytic Geometry angle Article asymptotes bisects chord circle x2 coefficients conic section conjugate conjugate hyperbolas constant coordinate axes corresponding cos2 curve denote desired equation determine diameter directrix draw the figure drawn eccentricity ellipse equa Example EXERCISES Find Find the equation Find the locus Find the point focus following equations formula generatrix geometrical given equation given points hyperbola imaginary intercept latus rectum line 2x line joining line parallel loci method midpoint negative normal form numbers origin pairs parabola parameter parametric equations passes perpendicular bisector PiP2 plane plot the locus point of intersection point xi point-slope form polar coordinates pole positive quadratic radical axis represents rotation second degree semi-major axis simplify slope-intercept form Solution Solving straight line student should draw symmetrical with respect tangent Theorem tion triangle whose vertices values variable vertex Write the equation x-axis y-axis y-intercept