Calendar: 1890-1891 Page 760

xcv111 ENGINEERING DEPARTMENT II -Platijcmattc THIRD AND SECOND YEARS Cijeon of £quattM1£i Solve completely 3x 19 r4 16x -f 12x2 8x 32 Shew how to form an equation the roots of which are each less by given quantity than the roots of given equation Solve the equation x2 Ix 14---1- by help of χ x2 the substitution χ The equation x3 42 ן -J- 3ן has one root between and Find it to places of decimals Prove that the equation whose roots are the arithmetic means of the roots of x3 lx taken in pairs is 8x Use Synthetic Division to find the quotient of 101 afi la4 246 γ3- 2&2x2 19 318 by a2 Also to find the quotient of the same by 2x &11al tt'cat &romttn Draw the quadrilateral whose corners are the points and and shew that the diagonals are at right angles to each other The equations of the four sides of quadrilateral taken in order are hy-7 16 40 41 5y f19 and 50 16 find the equations of the diagonals and shew that they are inclined to each other at an angle of 45 In the figure of Euclid II 11 ABCD is the square on the whole line AB and AFGH the square on the larger part AH shew that FG DE and CB meet in point If be