Home
Class 12
MATHS
The least integral value of 'a' for whic...

The least integral value of 'a' for which the equation `x^(2)-2(a-1)x+(2a+1)=0` has both the roots positive is

A

3

B

4

C

1

D

5

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise EXERCISE-II|121 Videos

  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|88 Videos

  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|10 Videos

  • PROBABILITY

    AAKASH SERIES|Exercise Practise Exercise|165 Videos

  • RANDOM VARIABLE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|34 Videos

Similar Questions

Explore conceptually related problems

The value of 'a' for which the equation 3x^(2)+2(a^(2)+1)x+(a^(2)-3a+2)=0 has roots of opposite sign, lies in

The least integral value of x for which 33-x (2+3x )gt 0 is

The equation x-(2)/(x-1) =1-(2)/(x-1) has

The maximum integral values of a for which the equation cos2x+asinx=2a-7 has a solution

The value of a for which the equation (1-a ^2)x^2+2ax -1 has roots belonging to (0,1) is

The number of integral values of k for which the equation sin^(-1)x+tan^(-1)x=2k+1 has a solution is

The number of integral values of k for which the equation sin^(-1)x+tan^(-1)x=2k+1 has a solution is

If the equation x^(2) - kx + 1 = 0 has equal roots. Then

The value of 'a' for which the quadratic equation 2x^(2) - x(a^(2) + 8a -1) + a^(2) - 4a = 0 has roots with opposite signs, lie in the interval

AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-I
  1. IF the roots of the equation x^2+a^2 =8x + 6a are real , then...

    Text Solution

    |

  2. If the roots of (x^(2)-bx)/(ax-c)=(k-1)/(k+1) are numerically equal bu...

    Text Solution

    |

  3. The least integral value of 'a' for which the equation x^(2)-2(a-1)x+(...

    Text Solution

    |

  4. The value of 'a' for which the equation 3x^(2)+2(a^(2)+1)x+(a^(2)-3a+2...

    Text Solution

    |

  5. If the roots ax^(2)+bx+c=0 are both negative and b lt 0, then

    Text Solution

    |

  6. The coefficient of x in a quadratic equation x^2 + px +q=0 was ...

    Text Solution

    |

  7. In finding the roots of x^(2) + px + q = 0 the coefficient of x was ta...

    Text Solution

    |

  8. IF the harmonic mean between the roots of (5 + sqrt(2))x^2-bx +...

    Text Solution

    |

  9. The equation x-(2)/(x-1) =1-(2)/(x-1) has

    Text Solution

    |

  10. If a = 0 then the equation (x-a-1)/(x-a)= (a +1)-(1)/(x-a) has

    Text Solution

    |

  11. If x^(2) + ax + b = 0, x^(2) + bx + a = 0 (a != 0) have a common root,...

    Text Solution

    |

  12. The value of a such that x^2 -11x+a =0 ,x^2 -14 x + 2a=0 may h...

    Text Solution

    |

  13. if 2x - 7 - 5x^2 has maximum value at x=a then a=

    Text Solution

    |

  14. The greatest value of (4)/(4x^(2)+4x+9) is

    Text Solution

    |

  15. The smallest value of x^(2) - 3x + 3 in the interval [-3, (3)/(2)] is

    Text Solution

    |

  16. I) The maximum value of c + 2bx -x^(2) is c+b^(2) II) The minimum va...

    Text Solution

    |

  17. If alpha, beta are the roots ax^(2) + bx + c = 0 and k in R. Then the ...

    Text Solution

    |

  18. The least integral value of x for which 33 - x(2 + 3x) gt 0 is

    Text Solution

    |

  19. The set of values of x for which the inequalities x^2 -2x+3 gt ...

    Text Solution

    |

  20. The set of all solutions of the inequation x^(2) - 2x +5 le 0 in R is

    Text Solution

    |