Calendar: 1885-1886 Page 671

general literature and science 66 The rectangle coalained by the diagonals of quadri- lateral figure inscribed in circle is equal to the sum of the rectangles contained by the opposite sides at to parabola meet the prove that PG PQ JN If an ellipse and hyperbola have the same foci they intersect at right angles Express the area of triangle in terms of the co-ordinates of its angular points Deduce the equation of straight line joining two given points Find the form of the equation of straight line that is at right angles to given straight line Ax By Prove that bx2 2hxy -f ay2 represents two straight lines at right angles to the straight lines represented by ax2 2hxy by2 Find the locus of point which is such that tangents from it to two concentric circles are inversely as their radii 10 Find the polar equation of parabola when the vertex is the pole Find the least area of right-angled triangle that is insciibed in parabola with the right angle at the vertex 11 Prove that it is impossible for the normal to an ellipse at any other point than the vertex tc pass through the focus 12 Find the equation of straight line drawn from the origin to intersect at right angles II 8foalg fe Differentiate x2 8in tan-1 log cos