Analytic Geometry

abscissa algebraic analytic geometry angle asymptotes Ax² bisecting bisector cartesian coördinates chord of contact circle of radius circle x² completing the square conic constant coördinate axes coördinate plane cylinder Derive determine diameter directing curve direction cosines directrix Draw the figure ellipse equal equidistant Example Find the equation Find the locus Find the tangents fixed point focus formula geometrically given line given point Hence hyperbola imaginary latus rectum line joining line parallel method midpoint moving point normal form origin P₁ parabola perpendicular point moves points of intersection points P1 polar coördinates positive Prove analytically quadratic quadratic equation quadric radical axis radius vector represents roots second degree segment slope Solve Ex square straight line Substituting surface symmetric with respect THEOREM Touching the line trace the curve transverse axis values vertex vertices Write the equation x-axis xy-plane y-axis y-intercept y₁