Home
Class 14
MATHS
If alpha, beta be the roots of the quadr...

If `alpha, beta` be the roots of the quadratic equation `x^(2)-5x+k=0`, find the value of k such that `alpha-beta=1`:

A

`(-4,27/4)`

B

`(-2,27/4)`

C

`(6,27/4)`

D

`(6,oo)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SET THEORY

    QUANTUM CAT|Exercise QUESTION BANK|81 Videos
  • TIME AND WORK

    QUANTUM CAT|Exercise QUESTION BANK |202 Videos

Similar Questions

Explore conceptually related problems

If alpha, beta be the roots of the quadratic equation 3x^(2)-6x+4=0 , find the value of ((alpha)/(beta)+(beta)/(alpha))+2((1)/(alpha)+(1)/(beta))+3alpha beta :

If alpha and beta are the roots of the quadratic equation x^(2) - 2x - 7 = 0 , find the value of alpha^(2) + beta ^(2) .

If alpha and beta are the roots of the quadratic equation x^(2) - 4x - 6 = 0 , find the values of alpha^(2) + beta^(2) .

If alpha,beta are the roots of the quadratic equation 4x^(2)-4x+1=0 then alpha^(3)+beta^(3)=

If alpha & beta are the roots of the quadratic equation x^(2)-(k-2)x-k+1=0 , then minimum value of alpha^(2)+beta^(2) is

If alpha and beta are the roots of the quadratic equation x^(2)-6x+1=0, then the value of (alpha^(2))/(beta^(2))+(beta^(2))/(alpha^(2)) is

If alpha & beta are the roots of the quadratic equation x^(2)-(k-2)x-k+1=0 ,then minimum value of alpha^(2)+beta^(2) is

QUANTUM CAT-THEORY OF EQUATIONS-QUESTION BANK
  1. Find the value of p for which the quadratic equation x^(2)+p(4x+p-1)+2...

    Text Solution

    |

  2. Find the value of K for which x=2 is a root of the equation 3x^(2)-2Kx...

    Text Solution

    |

  3. If alpha, beta be the roots of the quadratic equation x^(2)-5x+k=0, fi...

    Text Solution

    |

  4. Find the values of x for the given equation 3x^(2) + 5x-2=0

    Text Solution

    |

  5. Find the values of k so that the quadratic equation x^2 + 2(k-1)x + k+...

    Text Solution

    |

  6. Find the number of integral values of p if the roots of the equation ...

    Text Solution

    |

  7. Find all the values of p for which both roots of the equation x^2+x+p=...

    Text Solution

    |

  8. There are two quadratic equations. Solve these equations and find the ...

    Text Solution

    |

  9. There are two quadratic equations. Solve these equations and find the ...

    Text Solution

    |

  10. There are two quadratic equations. Solve these equations and find the ...

    Text Solution

    |

  11. There are two quadratic equations. Solve these equations and find the ...

    Text Solution

    |

  12. There are two quadratic equations. Solve these equations and find the ...

    Text Solution

    |

  13. There are two quadratic equations. Solve these equations and find the ...

    Text Solution

    |

  14. There are two quadratic equations. Solve these equations and find the ...

    Text Solution

    |

  15. There are two quadratic equations. Solve these equations and find the ...

    Text Solution

    |

  16. There are two quadratic equations. Solve these equations and find the ...

    Text Solution

    |

  17. -p^2+529=0 2q^2-1058=0

    Text Solution

    |

  18. 5p^2-120p+720=0 3q-16=q^2/8

    Text Solution

    |

  19. p^-17161=0 q^2+17161=0

    Text Solution

    |

  20. 225p^2-1740p+2835=0 225q^2+690q-2835=0

    Text Solution

    |