anaytical geometry a first course

a² b2 Army asymptotes axes bisecting bisectors Chapter chord circle whose centre circle x² circumcircle conic conjugate constant cos² cuts the axis deduce diagonals diameter direction cosines directrix draw the curve drawn eccentric angle ellipse equal figure Find the coordinates Find the equation Find the gradient Find the length Find the locus Find the points fixed point focus geometrical given gradient graph Hence find inches intercepts joining the points latus rectum lies line joining meets the axis mid-point middle point Miscellaneous Examples normal obtained ordinate origin parabola y²=4ax passes perpendicular perpendicular distance plane Plot points of intersection polar coordinates polar equation Prove radical axis ratio rectangle rectangular hyperbola right angles roots Show sides sin² straight line tangent touches Trace the curve triangle formed values vertex vertical x-axis x₁ y-axis y₁