...of 7. Solve the equations : x — b xa _ i(a — ~~— ~ ~ 8. If a :b::c:d, shew that 9. Shew that/ is the sum and q the product of the roots of the equation 10. Insert three Geometrical means between 12 and |. Shew that the product of any odd number of consecutive...

...Ix— 1 6. Solve the equations (2) ax-by=2ab, 2bx + 2ay = 3^ - a2. (3) / + ^ = 4. *2 + 2/2 -*.)/ = 8. 7- The perimeter of a right-angled triangle is six...sum and q the product of the roots of the equation *2 - px + q = o. Form an equation whose roots shall be the square of the sum, and the square of the...

...Algebraical and Euclidean definitions of Duplicate, Triplicate, and . . Compound Eatios. ANNUAL EXAMINATION. as the shortest side. What is the ratio of the two sides containing the right angle ? 5. Sum the series 16* + 14 + 11* + to 14 terms; and also the series -whose rth term is 3r + 2r to...

...yards. Reducing these fractions to lowest terms we have 601. The perimeter of a right triangle is 11 times as long as the shortest side. What is the ratio of the two sides containing the right angle ? 60a. Divide 33 into three parts so that the first may be to the second in the ratio 1.5, while the...

..._J_ ) , and sin 6 = I 2 tan ff j ; find the value of L when c = 20, D = 6, 2c and d = 3. (12) .'{. The perimeter of a right-angled triangle is six times...ratio of the two sides containing the right angle ? (12) 4. Resolve into factors : — • (i) 12z2 - 25xy + I2y". Cu) a8 + a*64 + 6s. (iii) a;4 + a:22/2...

...then we have, considering the ratio in the former year, 100 100 _ 100 89 x 1025a:+ 104 x 1025y = Ex. 7- The perimeter of a right-angled triangle is six times as long as the shortest side. Find the ratio of the two perpendicular sides. Let c denote the hypotenuse, a the shortest side, and...