for what value of will be the sum of the zeros of the polynomial x^2-x=k(5x-1)
Answers
Answer:
Q.No: 1. If the zeroes of the quadratic polynomial x² + (a+1)x + b are 2 , -3,then the values of a & b are -------
1. -7 , -1
2. 5 , -1
3. 2 , -6
4. 0 , -6
Q.No: 2. Zeroes of a polynomial p(x) = x² - 2x + 1 are ------------
1. 1,2
2. -1,-2
3. 1 ,1
4. -1,-1
Q.No: 3. If α and β are the zeroes of the polynomial p(x) = 2x² - 7x + 3, then α² + β² = -----------
1. 4/37
2. 37/4
3. -37/4
4. -4/37
Q.No: 4. If α and β are the zeroes of the polynomial p(x) = kx² + 3x +2 , then 1/α + 1/β = ---------------
1. 3/2
2. -3/2
3. 2/3
4. -2/3
Q.No: 5. Which of the following is a quadratic polynomial whose zeroes are reciprocal of zeroes of the polynomial p(x) = x² - 4x -5 ?
1. x² - 4x/5 - 1/5
2. x² + 4x/5 + 1/5
3. x² + 4x/5 - 1/5
4. x² - 4x/5 + 1/5
Q.No: 6. Which of the following is a quadratic polynomial whose zeroes are 5 + √2 and 5 - √2 ?
1. x² - 10x - 23
2. x² + 10x +23
3. x² - 10x + 23
4. x² + 10x - 23
Q.No: 7. If α , β are the zeroes of the polynomial ax² - 5x+ c such that α + β = α β = 10, then the values of a and c are ------------
1. 2 , 5
2. 1/2 , 5
3. 1/2 , -5
4. -2 , 5
Q.No: 8. If zeroes of the polynomial p(x) = 2 x² - x + k are reciprocal of each other, then the value of k is ---------
1. -1
2. 0
3. 2
4. None of these
Q.No: 9. ANSWER FROM IMAGE
1. ANSWER 1
2. ANSWER 2
3. ANSWER 3
4. ANSWER 4
Q.No: 10. If zeroes of the polynomial x² + 4x + 2a are α and 2/α , then the value of a is ---------
1. 0
2. 2
3. -1
4. 1
Q.No: 11. Which of the following algebraic expression is not a polynomial?
1. x² + √3 x + 7
2. 7
3. x - 3 + x²/4
4. 3 + 1/x
Q.No: 12. The graph of a polynomial p(x) does not intersects the x axis but intersects y axis at one point, then the number of zeroes of p(x) is -----------
1. 0
2. 1
3. 2
4. None of these
Q.No: 13. Which of the following are the zeroes of the polynomial p(x) = √3x² - 8x + 4√3
1. 6/√3 , 2/√3
2. -2/√3 , -6/√3
3. -2√3 , -6√3
4. 2√3 , 6√3
Q.No: 14. If the product of zeroes of x² - 3kx + 2 k² - 1 is 7, then the values of k are ----------
1. ±1
2. ±2
3. ±4
4. ±3
Q.No: 15. If zeroes of p(x) = ax² + bx + c are negative reciprocal of each other, then their product is ----------
1. 1
2. 0
3. -1
4. 1/2
Q.No: 16. Polynomial (x - 1) (x + 2) (x + 3 ) has
1. 3 real zeroes
2. no real zeroes
3. 2 real zeroes
4. 4 real zeroes
Q.No: 17. Zeroes of a polynomial p(x) = 6x² - 24 is
1. √2 , -√2
2. 2 , -2
3. 4 , -4
4. None of these
Q.No: 18. If sum of zeroes of the polynomial p(x) = x² + kx + 1 is zero, then k= -------------
1. 0
2. 1
3. -1
4. ±1
Q.No: 19. If one zero of the polynomial x² - 4x + 1 is 2 + √3, then the other zero is -----------
1. √3 - 2
2. √3 + 2
3. 2 - √3
4. √2 - 3
Q.No: 20. Which of the following is a quadratic polynomial whose zeroes are -2 and 5?
1. x² - 3x - 10
2. 3x² - 9x - 30
3. (x²/2) - (3x/2) - 5
4. All the above
Q.No: 21. The zeroes of the quadratic polynomial x² + 99x + 127 are
1. both positive
2. both negative
3. one positive & one negative
4. None of these
Q.No: 22. For what value of p, -4 is a zero of the polynomial x² - 2x - ( 7p + 3 ) ?
1. 3
2. -3
3. 7
4. -7
Q.No: 23. The graph of a cubic polynomial intersects x axis at ------------ points.
1. exactly 3
2. atleast 3
3. atmost 3
4. more than 3
Q.No: 24. For polynomial ( k² - 25 ) x² + 3x + 8 to be quadratic, which of the following is true?
1. k ≠ 5
2. k ≠ -5
3. k ≠ ± 5
4. None of these
Q.No: 25. A polynomial of degree zero is known as------
1. Linear polynomial
2. zero polynomial
3. constant polynomial
4. none of these