## Analytic geometry |

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### Contents

FUNDAMENTAL CONCEPTS AND FORMULAS 1 Introduction | 3 |

Conventions regarding the signs of line segments | 5 |

The distance between two points | 7 |

Copyright | |

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### Common terms and phrases

2hxy analytic geometry Article asymptotes called circle x2 completing the squares conic conjugate conjugate hyperbola constant coordinate axes coordinate plane cos2 curve direction cosines direction numbers Draw eccentricity ellipse x2/a2 equa equal equation y2 Example EXERCISES Find Figure Find the coordinates Find the equation Find the parametric Find the polar fixed point focal radii foci formulas given equation given line graph Hence Hint hyperbola x2/a2 latus rectum lies line 2x line joining line passing line segment locus midpoint origin parabola y2 parallel parametric equations perpendicular Plot the locus point Pi point Pi(xi,yi point which moves points of intersection polar coordinates polar equation positive principal axis quadratic radical axis radius rotating the axes rotation of axes satisfy Show sin2 slope Solution square standard equation Substituting surface surface of revolution symmetric with respect tangent term tion transverse axis values vertex x-axis x-intercepts y-axis zero