Calendar: 1864-1865 Page 545

GENERAL LITERATURE AND SCIENCE 547 11 be maximum find the χ ο χ values of From the extremity of the latus rectum of an ellipse draw the longest line to the ellipse again 10 If OA OB be two rectangular axes and PQ be line drawn through point to meet them find position of PQ when OP OQ PQ is maximum 11 The height of cone is given fir its vertical angle when the total surface is maximum tan -J when χ II -3nalj ticat Conic &1ction£ Draw the lines passing through the pairs of points and find the area of the triangle formed by their intersection Find the polar equation to straight line and express in rectangular co-ordinates the line cos If the axes revolve through an angle Θ find expressions for the new in terms of the old co-ordinates Change the origin from the vertex of parabola to the extremity of the latus rectum and let the new axes be tangent and normal at An equilateral triangle APB is so moved that is always on the axis of and Β on the axis of find the locus of The equation ixy 2y 2x represents two lines find them The distance between the piers of bridge which is semi-ellipse is 100 feet the equation to the curve is 3y 6c2 find the height of the arch Draw tangent to the circle of which the equation is r2 xy cos tc ax by and find the radius of the circle μ μ