Friday, November 4, 2016

SSC Paper Algebra


Quadratic Equations Chapter 2

1. Solve by formula method :  6m2 – 4m = 3 
2. Solve by completing the squares method : 2y2 + 5y + 1 = 0 
3. Solve by factorisation method :  x2 – 17x + 60 = 0 (2m)
4. Form quadratic equation whose one root is 3 - 2 (2m)
5. Find k if roots of the quadratic equation x2 + kx + 40 = 0 are in ratio 2:5 (2m)
6.  Solve : (y2 + 5y)(y2 + 5y – 2) – 24 =0 (3m)
7. Three consecutive odd natural numbers are such that the product of first and third is greater than four times the middle by 1. Find the numbers. (2m)
8. Divide 40 into two parts such that the sum of their reciprocals is 8/75. (3m)
9. Around a square pool there is a footpath of width 2m. if the area of footpath is 5/4 times that of pool find area of pool. (5m)