Q. 1. If α and β are the zeros of the polynomial 3x2 – 5x + 7, find the value of 
.
Q. 2. The angles of a quadrilateral in AP whose common difference is 100 .Find the angles.
Q. 3. For what value of ‘k’ will the following pair of linear equation have infinitely many solutions:
kx + 3y = k – 3, 12x + k y = k 3
Q. 4.Find the sum of 40 terms of the sequence 12 – 22 + 32 – 42 + 52 – 62 + ------
Q. 5. If 10th term of an AP is 52 and 17th term is 20 more than the 13th term, find the AP.
Q. 6. Solve for x and y (by Cross Multiplication)
2x – y + 2 = 0, 2x + y – 6 = 0
3
Q. 7. Write a quadratic equation whose roots 
Q. 8. How many three digit numbers are divisible by 7?
Q. 9. A two digit number is such that the product of the digits is 14. When 45 is added to the number, then the digit interchange their places. Find the number.
Q. 10. Roohi travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and the remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately.
Q. 11. A fraction becomes 9/11, if 2 are added to both the numerator and the denominator. If, 3 is added to both the numerator and the denominator it becomes 5/6. Find the fraction.
Q. 12. Draw the graph of following pair of linear equations: x + 3y = 6 and 2x – 3y = 12 and find the co-ordinate of the vertices formed by x = 0, y = 0 and 2x – 3y = 12 and hence find the area of the triangle.
