SELF TEST:
1.Check whether the following is a quadratic equation : x2 + 7x – 12 = 0 (2 mk)
2.The sum of two numbers is 16. The sum of their reciprocals is (1/3) Find the numbers. (2 mk)
3.Determine the discriminant of of the following quadratic equation: x2 – 9x + 20 = 0 (2 mk)
4. Determine the nature of the roots of the following quadratic equations: . 9x² – 6x + 1 = 0 (3 mk)
5. Seven years ago Varun’s age was five times the square of Swati’s age. Three years hence Swati’s age will be two-fifth of Varun’s age. Find their present ages. (3 mk)
6. If the list price of a toy is reduced by Rs. 2, a person can buy 2 toys more for Rs. 360. Find the original price of the toy. (3 mk)
7. Find the values of k for which the equation x2 + 5kx + 16 = 0 has no real roots. (2 mk)
8. Find the roots of the following quadratic equations, if they exists using Quadratic Formula:
x2 – 6x + 9 = 0. (3 mk)
9. Determine the nature of the roots of the following quadratic equations: 9x² – 6x + 1 = 0. (2 mk)
10. The length of a rectangular ground is greater than twice its breadth by 5 m. The area of the ground is 1125 sq. m. Find the length and breadth of the ground. (2 mk)