POLYNOMIALS (10 Questions)
1. Find the zeroes of the polynomial x² -7x + 10
2. Find the zeroes of 2x ^ 2 - 5x - 3
3. Verify the relationship between zeroes and coefficients for x ^ 2 -
3x - 10
4. If a and ẞ are zeroes of x ^ 2 - 5x + 6 find alpha + beta and αβ.
5. Find a quadratic polynomial whose zeroes are 3 and -2.
6. Find a quadratic polynomial whose zeroes are - 1/2 and 4.
7. Find the zeroes of x ^ 3 - 3x ^ 2 - 4x + 12
8. If one zero of x ^ 3 - 3x ^ 2 - 4x + 12 is 3, find the other zeroes.
9. Determine the number of zeroes OT polynomial 4x ^ 3 - 3x ^ 2 + 2x
-1
10. Find remainder when x ^ 3 - 2x ^ 2 + x - 1 is divided by x - 1
, PAIR OF LINEAR EQUATIONS IN TWO VARIABLES (12 Questions)
11. Solve 2x + y = 5 and x - y = 1
12. Solve 3x - 2y = 5 and 2x + y = 4
13. Solve by substitution: 4x - y = 3 and 2x y = 7
14. Solve by elimination: 5x + 3y = 19 and 3x - 2y = 4
15.Check whether equations 2x + 3y = 11 and 4x + 6y = 22 have
infinite solutions
16. Find value of k for which 2x + ky = 4 and 4x + 2y = 8 have infinitely
many solutions.
17. Solve graphically: x + y = 5 and x - y = 1
18. The sum of two numbers is 30 and their difference is 4. Find the
numbers.
19. Two numbers differ by 5. Their sum is 25. Find the numbers.
20. A man has ₹500 in denominations of ₹10 and 20. If total number
of notes is 35, find number of each note.
1. Find the zeroes of the polynomial x² -7x + 10
2. Find the zeroes of 2x ^ 2 - 5x - 3
3. Verify the relationship between zeroes and coefficients for x ^ 2 -
3x - 10
4. If a and ẞ are zeroes of x ^ 2 - 5x + 6 find alpha + beta and αβ.
5. Find a quadratic polynomial whose zeroes are 3 and -2.
6. Find a quadratic polynomial whose zeroes are - 1/2 and 4.
7. Find the zeroes of x ^ 3 - 3x ^ 2 - 4x + 12
8. If one zero of x ^ 3 - 3x ^ 2 - 4x + 12 is 3, find the other zeroes.
9. Determine the number of zeroes OT polynomial 4x ^ 3 - 3x ^ 2 + 2x
-1
10. Find remainder when x ^ 3 - 2x ^ 2 + x - 1 is divided by x - 1
, PAIR OF LINEAR EQUATIONS IN TWO VARIABLES (12 Questions)
11. Solve 2x + y = 5 and x - y = 1
12. Solve 3x - 2y = 5 and 2x + y = 4
13. Solve by substitution: 4x - y = 3 and 2x y = 7
14. Solve by elimination: 5x + 3y = 19 and 3x - 2y = 4
15.Check whether equations 2x + 3y = 11 and 4x + 6y = 22 have
infinite solutions
16. Find value of k for which 2x + ky = 4 and 4x + 2y = 8 have infinitely
many solutions.
17. Solve graphically: x + y = 5 and x - y = 1
18. The sum of two numbers is 30 and their difference is 4. Find the
numbers.
19. Two numbers differ by 5. Their sum is 25. Find the numbers.
20. A man has ₹500 in denominations of ₹10 and 20. If total number
of notes is 35, find number of each note.
