Calendar: 1893-1894 Page 843

faculty of science cxxi י ד a2 ο v7 and 111 subtract from r2 Jx2 a2 Solve the equations 20 ii 20 2y 39 23 7y Gz 19 16 3y iii iv 3xy x2 20 and y2 and in iv verify that all your solutions satisfy the equations The upper end of ladder whose base is at the edge of pavement reaches height of 42 feet on one side of street and when turned over height of feet on the other side If the whole breadth of the street including the pave- ment be 48 feet find the breadth of the pavement and the length of the ladder What are meant by ratio inverse ratio duplicate ratio if is to in the duplicate ratio of to prove that Shew that quadratic equation has two roots only If α β be the roots of ax2 bx express a5 33 a3 35 in terms of Find the sum of η terms of an Arithmetical Progression of which the first term is and the common difference Sum the series 2J If to 12 terms ii 55 56222 57 to terms correct to places of decimals iii 132 000000132 000132 to infinity YEAR II 10 Define logarithm From your definition obtain logs81 Iog81 10g8v7256