Home
Class 12
MATHS
If a + b + c = 0 , then the equation equ...

If a + b + c = 0 , then the equation equation :
`3ax^(2) + 2bx + c = 0` has :

A

at least on root in (0,1)

B

one root in (2,3) and the other in (-2,-1)

C

imaginary roots

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|13 Videos

  • QUADRATIC EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|13 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS (QUESTIONS FROM KARNATAKA CET & COMED )|11 Videos

  • REAL NUMBERS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (Level-II)|8 Videos

Similar Questions

Explore conceptually related problems

If 2a+3b+6c = 0, then show that the equation a x^2 + bx + c = 0 has atleast one real root between 0 to 1.

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

If a,b,c are in G.P.L, then the equations ax^(2) + 2bx + c = 0 0 and dx^(2) + 2ex+ f = 0 have a common root if ( d)/( a) , ( e )/( b ) , ( f )/( c ) are in :

The roots of the quadratic equations ax^(2)+ bx =0 are:

Let a, b,c in R and a ne 0. If alpha is a root of a^(2) x^(2) + bx + c = 0 , beta is a root of a^(2) x^(2) - bx - x = 0 and 0 lt alpha lt beta . Then the equation a^(2) x^(2) + 2 bx + 2c = 0 has a root gamma that always satisfies :

The discriminant of the quadratic equations ax^(2) + bx+ c =0 is :

The sum of the roots of the quadratic equations ax^(2) + bx + c=0 is

If a gt 0, b gt 0 and c gt 0 , then both the roots of the equations ax^2 + bx + c =0

If 2 a+3 b+6 c=0, a, b, c in R then the equation a x^(2)+b x+c=0 has a root in

In a quadratic equations ax^(2) + bx+ c=0 , If a=0 then it becomes:

MODERN PUBLICATION-QUADRATIC EQUATIONS -MULTIPLE CHOICE QUESTIONS (LEVEL-II)
  1. The value of 'a' for which the equation x^(3) + ax + 1 = 0 and x^(4) +...

    Text Solution

    |

  2. The number of real solutions of ((9)/(10))^(x) = - 3 + x - x^(2) is :

    Text Solution

    |

  3. If a + b + c = 0 , then the equation equation : 3ax^(2) + 2bx + c = ...

    Text Solution

    |

  4. If alpha, beta are the roots of ax^(2) - 26x + c = 0, then alpha^(3...

    Text Solution

    |

  5. If alpha , beta are roots of 375x^(2) - 25x - 2 = 0 and s(n) = alpha^...

    Text Solution

    |

  6. A quadratic equation whose roots are ((gamma)/(alpha))^(2) and ((beta...

    Text Solution

    |

  7. If alpha, beta are the roots of lambda(x^(2)+x)+x+5=0 and lambda(1), l...

    Text Solution

    |

  8. The least integer satisfying : 49.4 - ((27 - x)/(10)) lt 47.4 - ((2...

    Text Solution

    |

  9. If the equation ax^(2) + 2bx - 3c = 0 has non-real roots and ((3c)/(4)...

    Text Solution

    |

  10. Let a, b, c be positive real numbers. The following system of equation...

    Text Solution

    |

  11. If f (x) = x - [x], x (ne 0 ) in R, where [x] is the greatest integer ...

    Text Solution

    |

  12. The real values of x for which 3^(72) ((1)/(3))^(x) ((1)/(3))^(sqrt(x)...

    Text Solution

    |

  13. If the ratio of the roots of a(1)x^(2) + b(1) x + c(1) = 0 be equal ...

    Text Solution

    |

  14. If the product of the roots of the equation x^(2) - 3kx + 2e^(2 log k)...

    Text Solution

    |

  15. If a + b + c = 0, then x^((a^(2))/(bc)), x^((b^(2))/(ca)) , x((c^(2))/...

    Text Solution

    |

  16. The equation ax^(2) + bx + c = 0 , where a, b,c are real number conne...

    Text Solution

    |

  17. If 3p^(2) = 5p + 2 and 3q^(2) = 5q + 2, where p ne q , then the equati...

    Text Solution

    |

  18. If P(x) = ax^(2) + bx + c and Q(x) = -ax^(2) + dx + c, where ac ne 0 ...

    Text Solution

    |

  19. If one root of the ax^(2) + bx + c = 0 is equal to nth power of the o...

    Text Solution

    |

  20. The number of real solutions of the equation : | x^(2) + 4x + 3 | + ...

    Text Solution

    |