Question

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: 19. 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: 20. 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: 21. 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: 22. 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: 23. 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: 24. 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: 25. 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​

Answer 1

Step-by-step explanation:

Q.No: 18. 1. x² - 4x/5 - 1/5

Q.No: 19. 2. 1/2 , 5

Q.No: 20. 3.k ≠ ± 5

Q.No: 21. 1. 6/√3 , 2/√3

Q.No: 22. 3. -1

Q.No: 23. 1. 3 real zeroes

Q.No: 24. 1. x² - 3x - 10

Q.No: 25. one positive & one negative

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