Home
Class 10
MATHS
If alpha and beta are the zeros of the p...

If `alpha and beta` are the zeros of the polynomial `f(x)=x^2-5x+k` such that `alpha-beta=1,` find the value of `k`.

A

8

B

4

C

`13//2`

D

6

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    CENGAGE|Exercise OLYMPIAD AND NTSE LEVEL EXERCISES |10 Videos
  • QUADRATIC EQUATIONS

    CENGAGE|Exercise TEST YOURSELF (Level 3)|43 Videos
  • PROGRESSIONS

    CENGAGE|Exercise OLYMPIAD AND NTSE LEVEL EXERCISE |10 Videos
  • RATIONAL EXPRESSIONS

    CENGAGE|Exercise Olympiad and ntse level exercises |10 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta ar the zeros of the polynomial f(x)=x^(2)-5x+k such that alpha-beta=1 find the value of k.

If alpha and beta are the zeroes of the polynomial kx^(2)+4x+4, such that alpha^(2)+beta^(2)=24. find the value of k .

If alpha,beta are the zeros of the polynomial p(x)=x^(2)-a(x+1)-b such that (alpha+1)(beta+1)=0 then find value of b

If alpha,beta,gamma are the zeroes of the polynomial f(x)=x^(3)-5x^(2)-2x+24 such that alpha beta=12, then

If alpha and beta are the zeros of the quadratic polynomial f(x)=kx^(2)+4x+4 such that alpha^(2)+beta^(2)=24, find the value of k

If alpha and beta are the zeros of the polynomial f(x) = 5x^(2) - 7x + 1 , find the value of (1/alpha+1/beta).

If alpha and beta are the zeroes of the polynomial f(x) = 5x^(2) - 7x + 1 then find the value of ((alpha)/(beta)+(beta)/(alpha)) .

If alpha and beta are the zeroes of the polynomial f(x) = 5x^(2) - 7x + 1 , then find the value of ((alpha)/(beta) + (beta)/(alpha)) .

If alpha, beta are the zeros of the polynomial f(x) = x^2 – 3x + 2 , then find 1/alpha + 1/beta .

CENGAGE-QUADRATIC EQUATIONS -TEST YOURSELF (Multiple Choice Questions)
  1. Sum of roots of the equation 4^(x)-3(2^(x+3))+128=0, is

    Text Solution

    |

  2. If alpha and beta are the zeros of the polynomial f(x)=x^2-5x+k such t...

    Text Solution

    |

  3. If p(x)=ax^(2)+bx+c and Q(x)=-ax^(2)+dx+c, where ac!=0, then P(x)xxQ(x...

    Text Solution

    |

  4. If roots of the equation (q-r)x^(2)+(r-p)x+(p-q)=0 are equal, then p,q...

    Text Solution

    |

  5. If 3p^(2)=5p+2 and 3q^(2)=5q+2 where p!=q, then pq is equal to

    Text Solution

    |

  6. If alpha and beta are the roots of the quadratic equation x^(2)+bx-c=0...

    Text Solution

    |

  7. Let p,q in {1,2,3,4}. The number of equations of the form px^(2)+qx+1=...

    Text Solution

    |

  8. Find the number of rational roots of the equation (x+2)(x+3)(x+8)(x+12...

    Text Solution

    |

  9. Solutions of the equation (6-x)^(4)+(8^(4)-x)^(4)=16 are

    Text Solution

    |

  10. Solution of the equation sqrt(2x^(2)+5x-2)-sqrt(2x^(2)+5x-9)=1 are

    Text Solution

    |

  11. Solutions of the equation 64xx9^(x)-84xx12^(x)+27xx16^(x)=0 are

    Text Solution

    |

  12. Let alpha,beta be the roots of the equation x^(2)-x+p=0 and gamma,de...

    Text Solution

    |

  13. If alpha,beta are the roots of the equation x^(2)-3x+5=0 and gamma,d...

    Text Solution

    |

  14. If cos^(4)theta+p,sin^(4)theta+p are the roots at the equation x^(2)+a...

    Text Solution

    |

  15. If alpha and beta roots of the equation x^(2)-p(x+1)-c=0 hen (alpha^(2...

    Text Solution

    |

  16. The quadratic equation, product of whose roots x(1) and x(2) is equal ...

    Text Solution

    |

  17. If one root of the equation x^(2)-dx+12=0 is even prime, while x^(2)+d...

    Text Solution

    |

  18. The graph of a quadratic polynomial y=ax^(2)+bx+c,a,b,c in R is as sho...

    Text Solution

    |

  19. If x+1/x=5 then x^(3)-5x^(2)+x+(1)/(x^(3))-(5)/(x^(2))+1/x=

    Text Solution

    |

  20. If (a^(2)-1)x^(2)+(a-1)x+(a^(2)-4a+3)=0 is an identity in x, then the ...

    Text Solution

    |