Elementary Analytical Geometry

asymptotes axes bisected called centre chord circle conic section conjugate diameters constant coordinates corresponding curve cut the axis described Determine direction directrix divide draw drawn ellipse equal equation becomes equation required evidently EXAMPLE excentric angle extremity Find the distance find the equation find the locus fixed point focal focus four geometrical given point Hence hyperbola inclined initial line intersection join latus rectum length let the coordinates Let the equation lies line which passes locus meaning meet negative normal obtain origin parabola parallel parallelogram perpendicular point h point of contact point of intersection polar polar equation pole positive produced prove radical radius ratio rectangular referred represented respectively right angles roots satisfy shew sides Similarly square straight line substituting tangent Transform triangle values vertex write