Calendar: 1881-1882 Page 633

634 GENERAL LITERATURE AND SCIENCE Deduce the equation to the directrix in the case of the parabola 15 What is meant by system of confocal conies Prove that in general two conies can be drawn through given point confocal with given conic Given any point on an ellipse of semi-axes by if σ denote the product of the segments of any chord of the director- circle through the point then the semi-axes of the confocal hyperbola which passes through the point are sjaz σ and XV -Bifferenttal antt integral Calculus Explain how it is possible for the ratio of two vanishing quantities δ for the sum of an infinite number of vanishing quantities to have finite limit wken Find the value when η increases indefinitely of ן י 22 י η If Deduce from first principles the differential coefficients of 8in 6χ 10g Differentiate esinflog ex log Prove that A&m bx cx d2u dPu dx dy dy dx