Home
Class 12
MATHS
The number of integral value of a,a, in ...

The number of integral value of `a,a, in [-5, 5]` for which the equation: `x ^(2) +2 (a-1) x+a+5=0` has one root smalleer than 1 and the other root greater than 3 is :

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    VK JAISWAL|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|3 Videos

  • PROBABILITY

    VK JAISWAL|Exercise Exercise -5 : Subjective Type problems|12 Videos

  • SEQUENCE AND SERIES

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|21 Videos

Similar Questions

Explore conceptually related problems

The number of integral values of 'a' for which the quadratic equation x^(2)+(a+19)x+19a+1=0 has integral roots,are

Number of integral values of a for which the equation x^(2)-(a+1)x+a-1=0, has integral roots,is equal to -

The sum of all integral values of 'a' for which the equation 2x ^(2) -(1+2a) x+1 +a=0 has a integral root.

The values of a for which the equation 2x^(2) -2(2a+1) x+a(a+1) = 0 may have one root less them a and other root greater than a are given by

If bgta then show that the equation (x-a)(x-b)-1=0 has one root less than a and other root greater than b.

Number of integral value (s) of k for which the equation 4x^(2)-16x+k=0 has one root lie between 1 and 2 and other root lies between 2 and 3, is

Find the values of a for which one root of equation (a-5)x^(2)-2ax+a-4=0 is smaller than 1 and the other greater than 2.

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 values of a for which one root of the equation, x^(2)+(2a+1)x+(a-2)=0 is greater than 1 and the other root less than zero, is

VK JAISWAL-QUADRATIC EQUATIONS -EXERCISE (SUBJECTIVE TYPE PROBLEMS)
  1. If the equation x ^(4)+kx ^(2) +k=0 has exactly two distinct real root...

    Text Solution

    |

  2. Let a,b,c, d be the roots of x ^(4) -x ^(3)-x ^(2) -1=0. Also consider...

    Text Solution

    |

  3. The number of integral value of a,a, in [-5, 5] for which the equation...

    Text Solution

    |

  4. The number of non-negative integral vlaues of n, n le 10 so that a roo...

    Text Solution

    |

  5. Let f (x) =ax ^(2) +bx+c, where a,b,c are integers and a gt 1. If f (x...

    Text Solution

    |

  6. If and y ar real numbers connected by the equation 9x ^(2)+2xy+y^(2) -...

    Text Solution

    |

  7. Consider two numbers a,b, sum of which is 3 and the sum of their cubes...

    Text Solution

    |

  8. If y ^(2)(y^(2) -6) + x ^(2) -8x +24 =0 and the minimum value of x ^(...

    Text Solution

    |

  9. Consider the equation x ^(3) -ax ^(2) +bx-c=0, where a,b,c are ration...

    Text Solution

    |

  10. Let alpha satisfy the equation x ^(3) +3x ^(2) +4x+5=0 and beta satisf...

    Text Solution

    |

  11. Let x,y and z are positive reals and x ^(2) + xy + y ^(2)=2,y ^(2)+yz+...

    Text Solution

    |

  12. The number of ordered pairs (a,b) where a,b are integers satisfying th...

    Text Solution

    |

  13. The real value of x satisfying ""^(3)sqrt(20x +^(3)sqrt(20x+13))=13 c...

    Text Solution

    |

  14. If the range of the values of a for which the roots of the equation x ...

    Text Solution

    |

  15. Find the number of positive integers satisfying the inequality x^(2) -...

    Text Solution

    |

  16. If sin theta and cos theta are the roots of the quadratic equation ax...

    Text Solution

    |

  17. Let the inequality sin ^(2) x+a cos x +a ^(2) ge1+ cos x is satisfied...

    Text Solution

    |

  18. alpha and beta are roots of the equation 2x ^(2)-35x+2=0. Find the val...

    Text Solution

    |

  19. The sum of all integral values of 'a' for which the equation 2x ^(2) -...

    Text Solution

    |

  20. Let f (x) be a polynomial of degree 8 such that F ®=1/r, =1,2,3,…,8,9,...

    Text Solution

    |