Home
Class 12
MATHS
If b^(2)gt4ac then roots of equation ax^...

If `b^(2)gt4ac` then roots of equation `ax^(4)+bx^(2)+c=0` are all real & distinct if :

A

`blt0,alt0,cgt0`

B

`blt0,agt0,cgt0`

C

`bgt0,agt0,cgt0`

D

`bgt0,alt0,clt0`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos
  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

If b^(2)>4ac then roots of equation ax^(4)+bx^(2)+c=0 are all real and distinct if: b 0b>0,a>0,c>0(d)b>0,a<0,c<0

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

If a and c are the lengths of segments of any focal chord of the parabola y^(2)=bx,(b>0) then the roots of the equation ax^(2)+bx+c=0 are real and distinct (b) real and equal imaginary (d) none of these

If the roots of the equation ax^(2) + bx + c = 0 are in the ratio of 3 : 4 ,

Prove that the roots of the quadratic equation ax^(2)-3bx-4a=0 are real and distinct for all real a and b,where a!=b.

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 all roots of the equation x^(3)+ax^(2)-ax-1=0 are real and distinct,then the set of values of a is

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

RESONANCE-DPP-QUESTION
  1. Let r,s and t be the roots of the equation, 8x^(3)+1001x+2008=0. The v...

    Text Solution

    |

  2. The set of all values of ' a ' for which the quadratic equation 3x^2+2...

    Text Solution

    |

  3. If b^(2)gt4ac then roots of equation ax^(4)+bx^(2)+c=0 are all real & ...

    Text Solution

    |

  4. If the tan theta and sec theta are rots of the equation ax^(2)+bx+cx=0...

    Text Solution

    |

  5. Consider a quadratic equation ax^(2)+bx+c=0"where"a,b,c inR and a ne 0...

    Text Solution

    |

  6. All the roots of x^(3)+ax^(2)+bx+c are positive integers greater than ...

    Text Solution

    |

  7. The roots alpha and beta of the quadratic equation ax^(2)+bx+c=0 are a...

    Text Solution

    |

  8. The quadratic equation x^(2)-9x+3=0 has roots alpha and beta.If x^(2)-...

    Text Solution

    |

  9. If y=a x^2+b x+c represents the curve given in the figure and b^2=2(b+...

    Text Solution

    |

  10. If x1, x2& x3 are three distinct numbers which satisfy the relation (a...

    Text Solution

    |

  11. When a polynomial P (x) is divided by x,(x-2)and (x-3), remainders are...

    Text Solution

    |

  12. Number of zeros after decimal before first significant dign in the num...

    Text Solution

    |

  13. The expressin (1)/(1+(x)/(1-(x)/(x+2)))div ((1)/(1-x)+(1)/(1+x))/((...

    Text Solution

    |

  14. For any two non-empty sets A and B which of the following is pair wise...

    Text Solution

    |

  15. In a survey, 50 people like product A, 30 people like product B and 20...

    Text Solution

    |

  16. If A {phi,{phi},{{phi}}, then the number of proper subsets of the powe...

    Text Solution

    |

  17. In an examination of a certain class, at least 70% of the students fai...

    Text Solution

    |

  18. Let N=((log)3 135)/((log)(15)3)-((log)3 5)/((log)(405)3)dot Then N is ...

    Text Solution

    |

  19. The expression (n^3 - n), where 'n' is any odd natural number is divis...

    Text Solution

    |

  20. Let a ,b be two single digit natural numbers and 'aa bb' is a four di...

    Text Solution

    |