Home
Class 12
MATHS
If a+b+c=0 then the quadratic equation 3...

If a+b+c=0 then the quadratic equation `3ax^2+2bx+c=0` has at least one root in

A

`[1,2]`

B

`[0,1]`

C

`[-1,1]`

D

`[1,3]`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (QUADRATIC EXPRESSIONS)|106 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -1)|4 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -4)|4 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos

  • RELATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|49 Videos

Similar Questions

Explore conceptually related problems

If 2a+3b+6c =0 then the equation ax ^2 + bx +c=0 has atlest one root in

A quadratic equation ax^(2) + bx + c = 0 has two distinct real roots, if….

If 27a+9b+3c+d=0 , then the equation 4ax^(3)+3bx^(2)+2cx+d =0 has atleast one real root lying between

The roots of a quadratic equation ax^2- bx + c = 0, a ne 0 are

If a + b + c = 0, then the equation 3ax^(2) + 2bx + c = 0 has, in the interval (0, 1)

IF the sum of the roots of the quadratic equation ax ^2 + bx +c=0 is equal to sum of the square of their reciprocals then (b^2)/(ac) +(bc )/(a^2) =

If alpha, beta are the roots of the quadratic equation ax^(2)+bx+c=0, form a quadratic equation whose roots are alpha^(2)+beta^(2) and alpha^(-2) + beta^(-2) .

The roots of a quadratic equation ax^(2) + bx + c = 0 "is"

If the sum of the roots of the quadratic equation ax^(2) + bx + c = 0 is equal to the sum of the squares of their reciprocals, then a/c, b/a and c/b are in

DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. The number of solution of the equation 9x^2-18|x|+5=0 belonging...

    Text Solution

    |

  2. The number of solutions of the equation 5^x + 5^(-x)= log (10) 25...

    Text Solution

    |

  3. IF the equation ax+by=1, cx ^2 +dy^2 =1 have only one solution ...

    Text Solution

    |

  4. If a+b+c=0 then the quadratic equation 3ax^2+2bx+c=0 has at least one ...

    Text Solution

    |

  5. If 2a+3b+6c =0 then the equation ax ^2 + bx +c=0 has atlest one ...

    Text Solution

    |

  6. Let P(x) be a polynomial with integral coefficients . If there ...

    Text Solution

    |

  7. IF 0< a<b<c<d , then the quadratic j equation ax ^2 +[1-a(b+c)x+ab...

    Text Solution

    |

  8. alpha and beta are the roots of the equation x^2 +px +p^3 =0...

    Text Solution

    |

  9. Find all number which exceed their square root by 12

    Text Solution

    |

  10. The two consecutive positive odd integers such that the sum o...

    Text Solution

    |

  11. Find two consecutive positive even integers, the sum of whose squares ...

    Text Solution

    |

  12. The number having two digits such that it is 4 times the sum...

    Text Solution

    |

  13. A number of two digit s whose product is 30 . If the digits are ...

    Text Solution

    |

  14. The sum of the ages of a father and a son is 45 years . Fi...

    Text Solution

    |

  15. The cost of a piece of cable wire is Rs. 35/-, If the length of the pi...

    Text Solution

    |

  16. One fourth of a herd of goats was seen in the forest. Twice the square...

    Text Solution

    |

  17. In the interior of a forest there are some apes . Of their tot...

    Text Solution

    |

  18. In a cricket match Anil took one wicket less than twice the number of ...

    Text Solution

    |

  19. Some points on a plane are marked and they are connected pair w...

    Text Solution

    |

  20. The sides of a right angled triangle containing the right angle...

    Text Solution

    |