Home
Class 12
MATHS
The equation ax^(2) + bx + c = 0 , wher...

The equation `ax^(2) + bx + c = 0` , where a, b,c are real number connected by the relation 4a + 2b + c = 0 and ab `lt ` 0 and ab `lt ` 0 has :

A

real roots

B

complex roots

C

exactly one root

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

In the equations ax^(2) +bx +c=0 , if b=0 then the equations.

If a,b,c are positive real numbers, then the roots of the equation ax^(2) + bx + c =0

In the equations ax^(2) + bx+ c =0 , if one roots is negative of the other then:

If (1 + 2i) is a root of the equation x^(2) + bx + c = 0 . Where b and c are real, then (b,c) is given by :

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

If the equations : x^(2) + 2x + 3 = 0 and ax^(2) + bx + c =0 a, b,c in R, Have a common root, then a: b : c is :

Given that x, y and b are real numbers and x lt y, b lt 0 then,

If one root of the equation ax^(2) + bx + c =0 is reciprocal of the one root of the equation a_(1)x^(2) + b_(1) x + c_(1) = 0 , then :

If the equation ax^(2) + 2bx - 3c = 0 has non-real roots and ((3c)/(4)) lt (a + b) , then c is always :

If the equation : x^(2 ) + 2x +3=0 and ax^(2) +bx+ c=0 a,b,c in R have a common root then a: b: c is :

MODERN PUBLICATION-QUADRATIC EQUATIONS -MULTIPLE CHOICE QUESTIONS (LEVEL-II)
  1. If the product of the roots of the equation x^(2) - 3kx + 2e^(2 log k)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. Let p, p ne { 1,2,3,4}. The number of equations of the form px^(2) + q...

    Text Solution

    |

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

    Text Solution

    |

  10. If alpha and beta be the roots of the equation x^(2) + 7x + 12 = 0. T...

    Text Solution

    |

  11. If the ratio of the equation x^(2) + qx + r = 0 , is the same as that ...

    Text Solution

    |

  12. If (1 + 2i) is a root of the equation x^(2) + bx + c = 0 . Where b and...

    Text Solution

    |

  13. The non-trival values of (a,b) such that roots of the equation x^(2) +...

    Text Solution

    |

  14. The number of values of 'k' for which the equation x^(2) - 3x + k = 0 ...

    Text Solution

    |

  15. If the roots of the equation (x^(2) -bx)/(ax - c) = (lambda - 1)/(lamb...

    Text Solution

    |

  16. If b gta, then the equation (x -a)(x - b) - 1 = 0 has :

    Text Solution

    |

  17. Let f (x) = (1 + b)^(2) x^(2) + 2bx + 1 and let m(b) be the minimum ...

    Text Solution

    |

  18. The number of solutions of : log(4) (x - 1)= log(2) (x - 3) is :

    Text Solution

    |

  19. If alpha ne beta and alpha^(2) = 5 alpha - 3, beta^(2) = 5 beta - 3 , ...

    Text Solution

    |

  20. The number of real roots of 3^2x^2-7x+7=9 is (A) 0 (B) 2 (C) 1 (D) 4

    Text Solution

    |