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 0`

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 Solved Examples (Level 2 (Straight Objective Type Questions))|21 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Numerical Answer Type Questions)|18 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 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-Solved Examples (Level 1 ( Single Correct Answer Type Questions)
  1. Product of real roots of the equation t^2x^2+|x|+9=0 a. is always +ve...

    Text Solution

    |

  2. If f(x) = (x^2 -2x + 4)/(x^2+2x+4), x in R then range of function is

    Text Solution

    |

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

    Text Solution

    |

  4. If one root of x^(2) + px+12 = 0 is 4, while the equation x ^(2)...

    Text Solution

    |

  5. Suppose a is an integer and x(1) and x(2) are positive real roots of ...

    Text Solution

    |

  6. If a, b are two real number satisfying the relation 2a^(2) - 3a - 1 =...

    Text Solution

    |

  7. If alpha, beta are roots of x^(2)-2x-1=0, then value of 5alpha^(4)+12b...

    Text Solution

    |

  8. Suppose a, b, c are the lengths of three sides of a Delta ABC , a gt b...

    Text Solution

    |

  9. A root of the equation (a + b)(ax + b)(a - bx) = (a^2x - b^2)(a + bx) ...

    Text Solution

    |

  10. Q. Let p and q real number such that p!= 0,p^2!=q and p^2!=-q. if alph...

    Text Solution

    |

  11. Suppose a, b, in R . If the roots of x^(2) - ax + b = 0 are real and d...

    Text Solution

    |

  12. If a is the minimum root of the equation x^(2) - 3|x|- 2 = 0 , then va...

    Text Solution

    |

  13. Let f(x) = (x^(2) - 2x + 3)/( x^(2) - 2x - 8) , x in R - {-2, 4} The r...

    Text Solution

    |

  14. Suppose a, b, care three non-zero real numbers. The equation x^2+(a+b+...

    Text Solution

    |

  15. Suppose a,b in R. If the equation x^(2)-(2a+b)x+(2a^(2)+b^(2)-b+1//2)=...

    Text Solution

    |

  16. The equation e^(sinx)-e^(-sinx)-4=0 has (A) infinite number of real ro...

    Text Solution

    |

  17. If x^(2) - 3x + 2 is a factor of x^(4) - ax^(2) + b then the equatio...

    Text Solution

    |

  18. Let for a != a1 != 0 , f(x)=ax^2+bx+c ,g(x)=a1x^2+b1x+c1 and p(x) = f(...

    Text Solution

    |

  19. If a + b + c = 0 and a ne c then the roots of the equation (b + c - a)...

    Text Solution

    |

  20. if alpha&betaare the roots of the quadratic equation ax^2 + bx + c = 0...

    Text Solution

    |