Home
Class 12
MATHS
If 0 lt a lt b lt c and the roots alph...

If `0 lt a lt b lt c` and the roots `alpha,beta` of the equation `ax^2 + bx + c = 0` are non-real complex numbers, then

A

`|alpha |=|beta|`

B

`|alpha| gt 1`

C

`|beta| lt 1`

D

`|alpha |=1`

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|23 Videos

  • QUADRATIC EQUATIONS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|4 Videos

  • QUADRATIC EQUATIONS

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|45 Videos

  • PROBABILITY

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise -5 : Subjective Type problems|11 Videos

  • SEQUENCE AND SERIES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|21 Videos

Similar Questions

Explore conceptually related problems

If 0 lt c lt b lt a and the roots alpha, beta the equation cx^(2)+bx+a=0 are imaginary, then

If 0 gt a gt b gt c and the roots alpha, beta are imaginary roots of ax^(2) + bx + c = 0 then

If the equation ax^(2) + bx + c = 0, a,b, c, in R have non -real roots, then

If c lt a lt b lt d , then roots of the equation bx^(2)+(1-b(c+d)x+bcd-a=0

If a, b, c are positive and a = 2b + 3c, then roots of the equation ax^(2) + bx + c = 0 are real for

Let a gt 0, b gt 0 and c lt0. Then, both the roots of the equation ax^(2) +bx+c=0

If a lt c lt b then the roots of the equation (a−b)x^2 +2(a+b−2c)x+1=0 are

If the equation ax^2 + bx + c = 0, 0 < a < b < c, has non real complex roots z_1 and z_2 then

If alpha and beta (alpha lt beta) are the roots of the equation x^(2) + bx + c = 0 , where c lt 0 lt b , then

If 0 lt alpha lt beta lt (pi)/(2) then

VIKAS GUPTA (BLACK BOOK) ENGLISH-QUADRATIC EQUATIONS -EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)
  1. Let f (x) =x ^(2) -4x +c AA x in R, where c is a real constant, then w...

    Text Solution

    |

  2. If 0 lt a lt b lt c and the roots alpha,beta of the equation ax^2 +...

    Text Solution

    |

  3. If x satisfies |x-1| + |x-2|+|x-3|gt6, then : i)x ∈ (−∞,1) ii)x ∈...

    Text Solution

    |

  4. If both roots of the quadratic equation ax ^(2)+x+b-a =0 are non real ...

    Text Solution

    |

  5. If a,b are two numbers such that a ^(2) +b^(2) =7 and a ^(3) + b^(3) =...

    Text Solution

    |

  6. The number of non-negative integral ordered pair(s) (x,y) for which (x...

    Text Solution

    |

  7. If alpha, beta, gamma and delta are the roots of the equation x ^(4) -...

    Text Solution

    |

  8. The value of 'k' for which roots of the equation 4x^2-2x+k=0 are comp...

    Text Solution

    |

  9. If a,b,c in R, then for which of the following graphs of the quadrati...

    Text Solution

    |

  10. If the equation ax^(2) + bx + c = 0, a,b, c, in R have non -real ro...

    Text Solution

    |

  11. If alpha and beta are the roots of the equation ax ^(2) + bx + c=0,a,b...

    Text Solution

    |

  12. The equation cos ^(2) x - sin x+lamda = 0, x in (0, pi//2) has roots t...

    Text Solution

    |

  13. If the equation ln (x^(2) +5x ) -ln (x+a +3)=0 has exactly one solutio...

    Text Solution

    |

  14. The number of non-negative integral ordered pair(s) (x,y) for which (x...

    Text Solution

    |

  15. If a lt 0, then the value of x satisfying x ^(2)-2a|x-a| -3a ^(2)=0 i...

    Text Solution

    |

  16. If 0 lt a lt b lt c and the roots alpha,beta of the equation ax^2 +...

    Text Solution

    |

  17. Solve : | x - 1| + |x - 2| + | x - 3 | gt 6

    Text Solution

    |

  18. The value of 'k' for which roots of the equation 4x^2-2x+k=0 are comp...

    Text Solution

    |

  19. Let alpha , beta, gamma, delta are roots of x ^(4) -12x ^(3) +lamda x ...

    Text Solution

    |

  20. If the points ((a^3)/((a-1))),(((a^2-3))/((a-1))),((b^3)/(b-1)),(((b^2...

    Text Solution

    |