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 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 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-Solved Examples (Level 1 ( Single Correct Answer Type Questions)
  1. Suppose 0 lt alpha lt beta, and 2 alpha+ beta = pi //2 . If tan alpha...

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

    Text Solution

    |

  5. The set of values of alpha for which the quadratic equation (alpha ...

    Text Solution

    |

  6. Suppose k in R and the quadratic equation x^(2) - (k - 3) x + k = 0 ha...

    Text Solution

    |

  7. Two non-integer roots of the equation (x^(2) + 3x)^(2) - (x^(2) + ...

    Text Solution

    |

  8. Two non-integer roots of ((3x -1)/( 2x+3))^(4) - 5 ((3x - 1)/(2x + 3...

    Text Solution

    |

  9. Sum of the roots of the equation is 4^(x)- 3 (2 ^(x+3)) + 128 = 0

    Text Solution

    |

  10. The only real value of x satisfying the equation is 6 sqrt((x)/(x +...

    Text Solution

    |

  11. 2(x^(2)+(1)/(x^(2)))-9(x+(1)/(x))+14=0

    Text Solution

    |

  12. The non -integral roots of x^(4) - 3x^(3) - 2x^(2) + 3x + 1=0" ...

    Text Solution

    |

  13. If alpha,beta are the roots of x^2+p x+q=0a n dgamma,delta are the roo...

    Text Solution

    |

  14. Number of real solution of (x-1)(x+1)(2x+1)(2x-3)=15 (1) is

    Text Solution

    |

  15. if 2 = I sqrt3 be a root of the equation x^(2) + px + q =0, where p ...

    Text Solution

    |

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

    Text Solution

    |

  17. The number of solutions of sqrt(4 - x) + sqrt(x + 9) = 5" " (1) i...

    Text Solution

    |

  18. Suppose a in R and alpha, beta are roots of x^(2) +4 ax + 5 a^(2) - 6a...

    Text Solution

    |

  19. Find the value of a for which one root of the quadratic equation (a^2-...

    Text Solution

    |

  20. The range of the function f(x)=(x^2+x+2)/(x^2+x+1),x in R , is (1,oo)...

    Text Solution

    |