Home
Class 14
MATHS
For a quadratic equation ax^2+bx+c=0 , i...

For a quadratic equation `ax^2+bx+c=0` , if you have double roots and positive coefficient of `x^2`, then the minimum value of y is

A

any negative real number

B

the lowest negative number

C

the lowest whole number

D

cannot be determined

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SET THEORY

    QUANTUM CAT|Exercise QUESTION BANK|81 Videos

  • TIME AND WORK

    QUANTUM CAT|Exercise QUESTION BANK |202 Videos

Similar Questions

Explore conceptually related problems

The quadratic equation ax^(2)+5bx+2c=0 has equal, roots if

The quadratic equation ax^(2)+bx+c=0 has real roots if:

If one root of quadratic equation ax^(2)+bx+c=0 is 2+i Then the value of (a,b,c) is

In a quadratic equation ax^(2)+bx+c=0 if 'a' and 'c'are of opposite signs and 'b' is real, then roots of the equation are

If the quadratic equation x^(2) +ax +b =0 and x^(2) +bx +a =0 (a ne b) have a common root, the find the numeical value of a +b.

QUANTUM CAT-THEORY OF EQUATIONS-QUESTION BANK
  1. If the minimum value of the quadratic function is 0, then which of th...

    Text Solution

    |

  2. If one of the roots is 0 and another one is real positive, then which ...

    Text Solution

    |

  3. For a quadratic equation ax^2+bx+c=0 , if you have double roots and po...

    Text Solution

    |

  4. The quadratic equation ax^(2)+bx+c=0 has real roots if:

    Text Solution

    |

  5. There are two quadratic equations, none of them has integer or complex...

    Text Solution

    |

  6. There are two quadratic equations E1 and E2 Each root of E1 is four t...

    Text Solution

    |

  7. The two roots of a quadratic equation are -7 and -3, what will be the ...

    Text Solution

    |

  8. Which of the following is not a quadratic equation

    Text Solution

    |

  9. What is the locus of the vertices of all the quadratic equations whose...

    Text Solution

    |

  10. The factors of a quadratic equation are (x-4) and (x-8) what will b...

    Text Solution

    |

  11. For a quadratic equation, the roots are (-1,3) and the minimum is 4 u...

    Text Solution

    |

  12. For a quadratic equation, the roots are (-3,3) and the maximum of y i...

    Text Solution

    |

  13. If the roots are (-3,9), then the highest/lowest value of y will be a...

    Text Solution

    |

  14. For all the non-negative real x, what is the minimum and maximum non-n...

    Text Solution

    |

  15. For the non negative real x, such that xge-11 what is the minimium an...

    Text Solution

    |

  16. If y=2x^2+12x+35 , then dy/dx at x=3

    Text Solution

    |

  17. For (8)/3lexle8/3 the minimum and maximum values of f(x)=x^2-6x+18 are

    Text Solution

    |

  18. For -3gtxgt2,find the range of y= -3x^2+10x-21

    Text Solution

    |

  19. The minimum and maximum values of (7-x)^2-8 are

    Text Solution

    |

  20. The maximum value 49-(7-x)^2 is

    Text Solution

    |