Home
Class 12
MATHS
If coefficients of the equation ax^2 + b...

If coefficients of the equation `ax^2 + bx + c = 0` , `a!=0` are real and roots of the equation are non-real complex and `a+c < b`, then

A

`4a+c gt 2b`

B

`4a+c lt 2b`

C

`a+4c gt 2b`

D

`a+4c lt 2b`

Text Solution

Verified by Experts

The correct Answer is:
B, D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION & EXPRESSION

    FIITJEE|Exercise COMPREHENSIONS - I|3 Videos
  • QUADRATIC EQUATION & EXPRESSION

    FIITJEE|Exercise COMPREHENSIONS - II|3 Videos
  • QUADRATIC EQUATION & EXPRESSION

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) Level - I|50 Videos
  • PROGRESSION & SERIES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos
  • SET, RELATION & FUNCTION

    FIITJEE|Exercise Exercise 3|8 Videos

Similar Questions

Explore conceptually related problems

If coefficients of the equation ax^(2)+bx+c=0,a!=0 are real and roots of the equation are non-real complex and a+c

If the roots of the equation ax^(2)+bx+c=0 are real and distinct,then

If roots of ax^(2)+2bx+c=0(a!=0) are non- real complex and a+c<2b .then

If a root of the equation ax^(2)+bx+c=0 be reciprocal of a root of the equation a'x^(2)+b'x+c'=0 then

If the equation ax^(2) + 2 bx - 3c = 0 has no real roots and (3c)/(4) lt a + b , then

If b^(2)ge4ac for the equation ax^(4)+bx^(2)+c=0 then all the roots of the equation will be real if

If roots of the equation ax^(2)+2(a+b)x+(a+2b+c)=0 are imaginary then roots of the equation ax^(2)+2bx+c=0 are

if b^(2)ge4 ac for the equation ax^(4)+bx^(2) +c=0 then roots of the equation will be real if

FIITJEE-QUADRATIC EQUATION & EXPRESSION -ASSIGNMENT PROBLEMS (OBJECTIVE) Level - II
  1. Let f(x) is a quadratic expression with positive integral coefficient...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. If a,b,c are rational numbers (a gt b gt c gt 0) and quadratic equatio...

    Text Solution

    |

  5. The value of 'a' for which the quadratic expression ax^(2)+|2a-3|x-6 i...

    Text Solution

    |

  6. If p and q are odd integers, then the equation x^2+2x+2q=0 (A) has no ...

    Text Solution

    |

  7. pi^e/(x-e) + e^pi/(x-pi) + (pi^pi+e^e)/(x-pi-e)=0 has

    Text Solution

    |

  8. If ax^(2)+bx+c=0 and cx^(2)+bx+a=0 (a, b, c in R) have a common non - ...

    Text Solution

    |

  9. The equation (x^(2)-6x+8)+lambda (x^(2)-4x+3)=0, lambda in R has

    Text Solution

    |

  10. If the equation cx^(2)+bx-2a=0 has no real roots and a lt (b+c)/(2) th...

    Text Solution

    |

  11. If a, b, c are odd integers, then the roots of ax^(2)+bx+c=0, if real,...

    Text Solution

    |

  12. If the equation whose roots are the squares of the roots of the cubic ...

    Text Solution

    |

  13. If coefficients of the equation ax^2 + bx + c = 0 , a!=0 are real and...

    Text Solution

    |

  14. If f(x) = 0 is a polynomial whose coefficients all pm 1 and whose root...

    Text Solution

    |

  15. If a,b,c,d in R and all the three roots of az^3 + bz^2 + cZ + d=0 ha...

    Text Solution

    |

  16. The equation a(8)x^(8)+a(7)x(8)^(7)+a(6)x^(6)+…+a(0)=0 has all its po...

    Text Solution

    |

  17. Which of the following is correct for the quadratic equation x^(2)+2(a...

    Text Solution

    |

  18. If (x^(2)+ax+3)/(x^(2)+x+a), takes all real values for possible real v...

    Text Solution

    |

  19. If each pair of the following equations x^2+px+qr=0, x^2+qx+pr=0 and x...

    Text Solution

    |

  20. If a, b, c, d are four non - zero real numbers such that (d+a-b)^(2)+(...

    Text Solution

    |