# Calendar: 1866-1867 Page 467

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GENERAL LITERATURE AND SCIENCE 469 SECOND YEAR III -Conic Sections straight line cuts off from the axis of portion and makes with the axis of an angle cos-1 find its equation and its distance from the origin Find the area of triangle in terms of the coordinates of its angular points line passes through the two points xv and fmx1 nx2 myl ηψΛ η find its equation Find the length of the perpendicular from given point upon given line Given the coordinates of one extremity of diameter of an ellipse find those of either extremity of the conjugate diameter and thence show that CP2 CD2 is constant Find the equation to the parabola the axes being dia- meter and the tangent at the point where the diameter meets the curve If the straight line 3y 42 -f- be tangent of circle origin in centre find its radius The sides of triangle have for their equations χ cos sin χ cos β sin β cos sin γ find the radius of the inscribed circle The normal at any point in the ellipse bisects the angle between the focal distances of that point 10 Find the equation to the tangent of an ellipse and express it in terms of the excentric angle 11 PSp is focal chord in an ellipse Ρ Τ and pT are two tangents intersecting in Show that Τ is point in the direc- trix and that ST is perpendicular to PSp 12 APB is semicircle NPQ an ordinate drawn from If in

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