Home
Class 12
MATHS
The value of 'k' for which one root of t...

The value of 'k' for which one root of the equation `x^2 - (k+1) x + k^2 + k - 8 = 0` exceeds 2 and the other is less than 2, are given by:

A

`3 lt a lt 10`

B

`a gt 10`

C

`- 2 lt a lt 3`

D

`a le - 2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos
  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Exercise ( Level 2 (Numerical answer type questions))|19 Videos
  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos
  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos

Similar Questions

Explore conceptually related problems

The value of 'k' for which one root of the equation x^(2)-(k+1)x+k^(2)+k-8=0 exiceeds 2 and the other is less than 2, are given by:

Find the value of k for which one root of the equation of x^(2)-(k+1)x+k^(2)+k-8=0 exceed 2 and other is smaller than 2.

Find the value of k for which the roots of the equation 3x^(2) - 10x + k = 0 are reciprocal of each other.

Find the value of k, for which one root of the quadratic equation kx^(2)--14x+8=0 is 2.

For what value of k, -2 is a root of the equation 3x^(2)+4x+2k=0 ?

The set of values of k for which roots of the equation x^(2) - 3x + k = 0 lie in the interval (0, 2), is

Set of values of 'K' for which roots of the quadratic x^(2)-[2K-1)x+K(K-1)=0 are

Find the value of k for which the roots of the equation 3x^2-10x+k=0 are reciprocal of each other

MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Questions from Previous Years. AIEEE/JEE main papers
  1. If alpha and beta are the roots of the equation x^2+px+(3p)/4=0 such t...

    Text Solution

    |

  2. if p and q are non zero real numnbers and alpha^3+beta^3=-p alpha beta...

    Text Solution

    |

  3. The value of 'k' for which one root of the equation x^2 - (k+1) x + k^...

    Text Solution

    |

  4. The least integral value alpha of x such that (x-5)/(x^2+5x -14) >0, ...

    Text Solution

    |

  5. Let alpha and beta be the roots of equation px^2 + qx + r = 0 , p != ...

    Text Solution

    |

  6. If the equation ax^(2) + bx + c = 0 and 2x^(2) + 3x + 4 = 0 have a co...

    Text Solution

    |

  7. The sum of the roots of the equation x^(2) + |2x - 3| + 4 = 0, is

    Text Solution

    |

  8. If alpha and beta are roots of the equation x^2-4sqrt2kx + 2e^(4 Ink)-...

    Text Solution

    |

  9. The number of solutions of sqrt(3x^(2)+x+5)=x-3 is

    Text Solution

    |

  10. Let alpha and beta be the roots of equation x^2-6x-2""=""0 . If an=...

    Text Solution

    |

  11. If 2+3i is one of the roots of the equation 2x^3-9x^2 + kx-13 = 0, k e...

    Text Solution

    |

  12. If the two roots (a-1)(x^4+x^2+1)+(a+1)(x^2+x+1)^2=0 are real and dist...

    Text Solution

    |

  13. The sum of all real values of X satisfying the equation (x^2-5x+5)^(x^...

    Text Solution

    |

  14. If the equations x^2+bx-1=0 and x^2+x+b=0 have a common root different...

    Text Solution

    |

  15. If x is a solution of the equation sqrt(2x+1)-sqrt(2x-1)=1 (x >=1/2...

    Text Solution

    |

  16. Let x, y, z be positive real numbers such that x + y + z = 12 and x^3y...

    Text Solution

    |

  17. If, for a positive integer n , the quadratic equation, x(x+1)+(x-1)(x+...

    Text Solution

    |

  18. Let p(x) be a quadratic polynomial suchthat p(0) = 1. If p(x) leaves...

    Text Solution

    |

  19. The sum of all the real values of x satisfying the equation 2^((x-1)(x...

    Text Solution

    |

  20. If alpha, beta in C are the distinct roots of the equation x^(2)-x+1=0...

    Text Solution

    |