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

  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE -2 (OBJECTIVE PROBLEMS)|28 Videos

  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE -2 (MCQ)|9 Videos

  • QUADRATIC EQUATION

    MOTION|Exercise EXERCISE 4 (PREVIOUS YEAR| JEE MAIN)|25 Videos

  • PERMUTATION AND COMBINATION

    MOTION|Exercise EXAMPLE|23 Videos

  • SEQUENCE & SERIES

    MOTION|Exercise Exercise -4 Level -II Previous Year /JEE Advanced|22 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 "______" .

MOTION-QUADRATIC EQUATION-EXERCISE -1 (OBJECTIVE PROBLEMS)
  1. The number of roots of the quadratic equation 8 sec^(2) theta-6 sec th...

    Text Solution

    |

  2. Roots of 3^(x)+3^(-x)=10/3 are

    Text Solution

    |

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

    Text Solution

    |

  4. If alpha, beta are roots of the equation ax^2 + bx + c = 0 then the...

    Text Solution

    |

  5. The value of ' a ' for which the sum of the squares of the roots of th...

    Text Solution

    |

  6. Let a gt 0, b gt 0 and c lt0. Then, both the roots of the equation ax^...

    Text Solution

    |

  7. If alpha, beta are the roots of quadratic equation x^2 + px + q =0 th...

    Text Solution

    |

  8. If a, b, c are integers and b^2=4(ac + 5d^2), d in N, then roots of th...

    Text Solution

    |

  9. Let a, b and c be real numbers such that 4a + 2b + c = 0 and ab gt 0. ...

    Text Solution

    |

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

    Text Solution

    |

  11. If a ,b in R ,a!=0 and the quadratic equation a x^2-b x+1=0 has imagi...

    Text Solution

    |

  12. If both roots of the quadratic equation (2-x) (x + 1) = p are distin...

    Text Solution

    |

  13. If the equations k(6x^2+3)+rx+2x^2-1=0 and 6k(2x^2+1)+px+4x^2-2=0 have...

    Text Solution

    |

  14. If the quadratic equations 3x^2 + ax + 1 = 0 and 2x^2 + bx + 1 = 0 h...

    Text Solution

    |

  15. The equations x^2 +5x^2 +px +q=0 and x^3+ 7xa+ px+ r =0have two roots ...

    Text Solution

    |

  16. If alpha,beta,gamma,delta are the roots of the equation x^4-K x^3K x^2...

    Text Solution

    |

  17. If the roots of the equation x^(3)+Px^(2)+Qx-19=0 are each one more th...

    Text Solution

    |

  18. If the equation x^(4)-4x^(3)+ax^(2)+bx+1=0 has four positive roots, f...

    Text Solution

    |

  19. Q. If (6x^2-5x-3)/(x^2-2x+6)<=4, then the least and the highest values...

    Text Solution

    |

  20. which of the following graph represents the expression f(x) = ax^2 + b...

    Text Solution

    |