Home
Class 12
MATHS
The least integral value alpha of x such...

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

A

`alpha^(2) + 3 alpha - 4 = 0`

B

`alpha^(2) - 5 alpha + 4 = 0`

C

`alpha^(2) - 7 alpha + 6 = 0`

D

`alpha^(2) + 5 alpha - 6 = 0`

Text Solution

Verified by Experts

The correct Answer is:
D
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 least integral value of x that satisfies 2x+4+3(x-5)>7 is

The least integral value of x for which the condition In (1+x)>x-(x^(2))/(2) satisfies

The least integral value of x that satisfies 2x + 4 + 3(x-5) gt 7 is

The smallest integer x which satisfies teh inequality (x-5)/(x^2+5x-14) gt 0 is

The least integer value of x , which satisfies |x|+|(x)/(x-1)|=(x^(2))/(|x-1|) is

The least prime integral value of '2a' such that the roots alpha,beta of the equation 2x^(2)+6x+a=0 satisfy the inequality (alpha)/(beta)+(beta)/(alpha)<2 is

The least +ve integral value of 'a' for which the equation 3x^4 +4x^3-12x^2 +5a=0 has no real root is

The number of integral values of x satisfying 5x-1<(x+1)^(2)<7x-3 is

MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Questions from Previous Years. AIEEE/JEE main papers
  1. if p and q are non zero real numnbers and alpha^3+beta^3=-p alpha beta...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. If x is a solution of the equation sqrt(2x+1)-sqrt(2x-1)=1 (x &gt;=1/2...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. v22

    Text Solution

    |