Coordinate Geometry

a² b2 abscissa algebraic asymptotes ax² axes axis bisects by² called chords circle x² coefficients coincident points cone conic conicoid conjugate diameters conjugate hyperbola constant curve denote direction cosines directrix ellipse ellipsoid equa equal Example figure Find the equation Find the graph Find the locus foci focus given line gives Hence hyperbola hyperboloid k₁ k₂ latus rectum left member length line joining line parallel line segment meet mid-point negative O₁₁ obtained origin P₁ pair parabola y² parametric equations passes perpendicular perpendicular distance point of intersection point P(x polar polar coordinates positive projection Prove rectangular referred represents required equation respectively roots second degree semimajor axis sin² slope solution square straight line substitution surface tion transformation triangle values vertex x-axis x₁ x²/a² xy-plane y-axis y₁ y²/b² λε