Home
Class 12
MATHS
If the roots of the equation x^(2)+2ax+b...

If the roots of the equation `x^(2)+2ax+b=0` are real and distinct and they differ by at most 2m, then b lies in the interval

A

`((a^(2)-m^(2), a^(2))`

B

`(a^(2)-m^(2),a^(2))`

C

`(a^(2),a^(2)+m^(2))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Problem Set - 4 (True And False)|5 Videos
  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Problem Set - 4 (Fill In The Blanks)|4 Videos
  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Problem Set - 3 (Fill In The Blanks)|2 Videos
  • THE PARABOLA

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (Assertion/ Reason)|1 Videos
  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise SELF ASSESSMENT TEST |27 Videos

Similar Questions

Explore conceptually related problems

If the roots of the equation ax^(2)+bx+c=0 are real and distinct,then

If the roots of the quadratic equation x^(2)+6x+b=0 are real and distinct and they differ by atmost 4 then the least value of b is

If roots of the quadratic equation bx^(2)-2ax+a=0 are real and distinct then

If both the roots of the quadratic equation x^(2) mx+4=0 are real and distinct and they lie in the interval [1,5] then m lies in the interval

If both the roots of the quadratic equation x^(2) - mx + 4 = 0 are real and distinct and they lie in the interval [1, 5], then m lies in the interval

The roots of the equation x^(2) + ax + b = 0 are "______" .

ML KHANNA-THEORY OF QUADRATIC EQUATIONS -Problem Set - 4
  1. If x^(2)+2ax+10 -3a gt 0 for all x in R, then

    Text Solution

    |

  2. The expression y=ax^(2)+bx+c has always the same sign as of a if

    Text Solution

    |

  3. If the graph of the function y=16x^(2)+8(a+5) x-7a-5 is strictly above...

    Text Solution

    |

  4. Let f(x) be a quadratic expression possible for all real x. If g(x)=...

    Text Solution

    |

  5. If x^(2)-2 (4 lamda-1) x+ (15 lamda^(2)-2 lamda -7) gt 0 for all real ...

    Text Solution

    |

  6. If the equation x^(3 )-3x+a=0 has distinct roots between 0 and 1, then...

    Text Solution

    |

  7. If c gt0 and 4a+clt2b then ax^(2)-bc+c=0 has a root in the interval

    Text Solution

    |

  8. If y= tan x cot 3x, x in R, then

    Text Solution

    |

  9. If a lt b lt c lt d, then the quadratic equation (x-a) (x-c) +2(x-b) (...

    Text Solution

    |

  10. Let a,b,c in R and a ne 0. If alpha is a root a^(2) x^(2) +bx+c=0, bet...

    Text Solution

    |

  11. If the roots of the equation x^(2)+2ax+b=0 are real and distinct and t...

    Text Solution

    |

  12. The middle point of the interval in which x^(2)+2 (sqrt(x))^(2)-3 le 0...

    Text Solution

    |

  13. If x in R , the least value of the expression (x^(2)-6x+5)/(x^(2)+2...

    Text Solution

    |

  14. The inequality (x^(2)-|x|-2)/(2|x|-x^(2)-2) gt 2 holds only if.

    Text Solution

    |

  15. If x is real, then (x^(2)-2x+4)/(x^(2)+2x+4) takes values in the inter...

    Text Solution

    |

  16. If x is real, the maximum value of (3x^(2)+9x+17)/(3x^(2)+9x+7) is :

    Text Solution

    |

  17. For real x , the function (x-a)(x-b)//(x-c) will assume all real value...

    Text Solution

    |

  18. If x in R then (x^(2)+2x+a)/(x^(2)+4x+3a) can take all real values if

    Text Solution

    |

  19. The values of p for which the expression (px^(2)+3x-4)/(p+3x-4x^(2)) c...

    Text Solution

    |

  20. If P (x) is a polynomial of degree less than or equal to 2 and S is th...

    Text Solution

    |