Home
Class 12
MATHS
If both the roots of the quadratic equat...

If both the roots of the quadratic equation `x^2-2kx+k^2+k-5=0` are less than `5` , then `k` lies in the interval

A

`[4,5]`

B

`(-oo,4)`

C

`(6,oo)`

D

`(5,6]`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE -2 (MCQ)|9 Videos
  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE -3 (SUBJECTIVE)|36 Videos
  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE -1 (OBJECTIVE PROBLEMS)|30 Videos
  • PERMUTATION AND COMBINATION

    MOTION|Exercise EXAMPLE|23 Videos
  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -II Previous Year /JEE Advanced|22 Videos

Similar Questions

Explore conceptually related problems

If both the roots of the quadratic equa,tion x^2-2kx+k^2+k-5=0 are less than 5 then k lies i the interval (A) [4,5] (B) 9-oo,4) (C) 6,oo) (D) 95,6]

If both roots of the quadratic equation x^(2)+x(4-2k)+k^(2)-3k-1=0 are less than 3, then k lies in the interval

If the roots of the quadratic equation x^(2) +2x+k =0 are real, then

If both the roots of the quadratic equation x^(2) - mx + 4 = 0 are real and distinct and they lie in the interval [1, 5], then m lies in the interval

If both the roots of the quadratic equation x^(2) mx+4=0 are real and distinct and they lie in the interval [1,5] then m lies in the interval

Find k, if the roots of the quadratic equation kx^2-4x+4=0 are equal

Find k, if the roots of the quadratic equation kx^2-4x+4=0 are equal

If the roots of the quadratic equation x^(2)-2kx+2k^(2)-4=0 are real,then the range of the values of k is

MOTION-QUADRATIC EQUATION-EXERCISE -2 (OBJECTIVE PROBLEMS)
  1. If one root of the equation x^2+ px+ 12=0 is 4, while the equation x^...

    Text Solution

    |

  2. If roots of the equation ax^(2)+2(a+b)x+(a+2b+c)=0 are imaginary then ...

    Text Solution

    |

  3. Roots of the equation (a+b-c)x^(2)-2ax+(a-b+c)=0, (a,b, c, epsilonQ) a...

    Text Solution

    |

  4. If the roots of the equation 6x^2-7x + k=0 are rational then value of ...

    Text Solution

    |

  5. If coefficients of the equation ax^2 + bx + c = 0 , a!=0 are real and...

    Text Solution

    |

  6. If a ,b ,p ,q are nonzero real numbers, then how many oon roots would ...

    Text Solution

    |

  7. If one of the factors of ax^(2)+bx+c and bx^(2)+cx+a is common then

    Text Solution

    |

  8. If two roots of the equation x^3-px^2+qx-r=0 are equal in magnitude bu...

    Text Solution

    |

  9. If condition for a^(2)x^(4)+bx^(3)+cx^(2)+dx+f^(2) may be perfect squa...

    Text Solution

    |

  10. If a and b(!=0) are the roots of the equation x^2+ax+b=0 then the leas...

    Text Solution

    |

  11. If y =-2x^2-6x + 9, then (A) maximum value of y is -11 and it occur...

    Text Solution

    |

  12. Consider y=(2x)/(1+x^2), where x is real , then the range of expressi...

    Text Solution

    |

  13. The diagram shows the grap of y=ax^(2)+bx+c. Then

    Text Solution

    |

  14. All the values of m for whilch both the roots of the equation x^2-2m x...

    Text Solution

    |

  15. If both the roots of the quadratic equation x^2-2kx+k^2+k-5=0 are less...

    Text Solution

    |

  16. Let a,b,c be real if ax^(2)+bx+c=0 has two real roots alpha and beta w...

    Text Solution

    |

  17. If both roots of the quadratic equation x^(2)+x+p=0 exceed p where p e...

    Text Solution

    |

  18. for all x in R if mx^2-9mx+5m+1gt0 then m lies in the interval

    Text Solution

    |

  19. If a lt 0, then the value of x satisfying x ^(2)-2a|x-a| -3a ^(2)=0 i...

    Text Solution

    |

  20. If a^2+b^2+c^2=1 then ab+bc+ca lies in the interval

    Text Solution

    |