Home
Class 14
MATHS
The quadratic equation ax^(2)+bx+c=0 has...

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

A

he highest non-positive integer

B

the lowest negative number

C

depends on roots

D

none of the above

Text Solution

Verified by Experts

The correct Answer is:
A
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

Let a,b,c in R and a gt 0 . If the quadratic equation ax^(2) +bx +c=0 has two real roots alpha and beta such that alpha gt -1 and beta gt 1 , then show that 1 + |b/a| + c/a gt 0

If the quadratic equation ax^(2)+bx+c=0 has real roots of opposite sign in the interval (-2,2), then prove that 1+(c)/(4a)-|(b)/(2a)|>0

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

a,b,c in R,a!=0 and the quadratic equation ax^(2)+bx+c=0 has no real roots,then

a, b, c, in R, a ne 0 and the quadratic equation ax^(2) + bx + c = 0 has no real roots, then which one of the following is not true?

If a+b+c>(9c)/(4) and quadratic equation ax^(2)+2bx-5c=0 has non-real roots,then-

Three dice are thrown,the numbers appearing on them are respectively a,b and c.chance that the roots of the quadratic equation ax^(2)+bx+c=0 are real is

QUANTUM CAT-THEORY OF EQUATIONS-QUESTION BANK
  1. If one of the roots is 0 and another one is real positive, then which ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. Which of the following is not a quadratic equation

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. The equation x^2-3(x-3)^2-2=0 has

    Text Solution

    |