Elements of Analytic Geometry

a²b³ abscissa algebraic Analytic Geometry anharmonic ratio asymptotes axis of X bisectors bisects called centre of similitude chord of contact co-ordinate planes coefficients conic conic section conjugate diameters conjugate hyperbola constant corresponding curve direction-cosines direction-vectors directrix distance distance-ratio divide drawn eccentricity ellipse equa equal express Find the equation Find the locus fixed point focal radii focus four points geometry Hence hyperboloid imaginary infinity intercepts junction-point latus rectum length line intersects line joining line passing major axis middle point negative ordinate origin pair parabola parallel pencil perpendicular point of intersection polar equation pole position PROBLEM Proof quadric quantities radical axis radius rectangular represent respectively Show sides straight line Substituting subtangent surface tangent THEOREM tion transverse axis triangle values vertex vertices whence Write the equation y₁