Home
Class 11
MATHS
The value of 'a' for which the equation ...

The value of 'a' for which the equation `x^3+ax+1`=0 and `x^4+ax^2+1`=0, we have a common root is

A

a=2

B

a=-2

C

a=0

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos
  • RECTANGULAR CO-ORDINATES

    PATHFINDER|Exercise QUESTION BANK|27 Videos

Similar Questions

Explore conceptually related problems

Find those values of k for which the equations x^2-kx-21=0 and x^2-3kx-35=0 have a common root.

The equations x^2+x+a=0 and x^2+ax+1=0 have a common real root

Determine the values o m for which equations 3x^2+4m x+2=0a n d2x^2+3x-2=0 may have a common root.

If the equations 2x^(2)-7x+1=0 and ax^(2)+bx+2=0 have a common root, then

If the equation x^2+ax+bc=0" and " x^2+bx+ca=0 have a common root, then a+b+c =

A value of b for which the equations x^2+bx-1 =0, x^2+x+b =0 have one root in common is

The equations x^(2)+x+a=0andx^(2)+ax+1=0 have a common root-

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

For what values of m the equations 3x^2+4mx+2=0 and 2x^2+3x-2=0 will have a common root?

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. If alpha and beta are the roots of ax^2+bx+c=0, then the equation ax^2...

    Text Solution

    |

  2. If the quadratic equations ax^2+2cx+b=0 and ax^2+2bx+c=0 (bne0) have a...

    Text Solution

    |

  3. The value of 'a' for which the equation x^3+ax+1=0 and x^4+ax^2+1=0, w...

    Text Solution

    |

  4. The coefficient of 'x' in the quadratic equation ax^2+bx+c=0 was wrong...

    Text Solution

    |

  5. If p and q are the roots of the equation x^2+px+q=0, then

    Text Solution

    |

  6. If one root of the equation x^2+px+12=0 is 4, while the equation x^2+p...

    Text Solution

    |

  7. Ifalpha,beta be the roots of x^2-a(x-1)+b=0,then the value of 1/(alpha...

    Text Solution

    |

  8. If one root of the equation x^2+(1-3i)x-2(1+i)=0is -1+i, then the oth...

    Text Solution

    |

  9. If alpha,beta roots of ax^2+bx+c=0. Find the quadratic equation whose ...

    Text Solution

    |

  10. If alpha,beta be the two roots of the equation x^2+x+1=0, then the equ...

    Text Solution

    |

  11. The harmonic mean of the roots of the equation (5+sqrt)x^2-(4+sqrt5)x+...

    Text Solution

    |

  12. The equation x^3+5x^2+px+q=0 and x^3+7x^2+px+r=0 have two roots in com...

    Text Solution

    |

  13. If the roots of x^2+bx+c=0 are both real and greater than unity, then ...

    Text Solution

    |

  14. Value of p, so that 6 lies between roots of the equation x^2+2(p-3)x+9...

    Text Solution

    |

  15. Ifx^2-(a-3)x+a=0 has at least one positive root,then

    Text Solution

    |

  16. If the roots of the equation x^2-2ax+a^2 + a-3=0 are less than 3 then

    Text Solution

    |

  17. The number of solutions of log2(x-1)=2log2(x-3) is

    Text Solution

    |

  18. If x=(sqrt13+2sqrt3), then x+1/x is equal to ?

    Text Solution

    |

  19. The sum of all real roots of the equationabs(x-2)^2+abs(x-2)-2=0 is

    Text Solution

    |

  20. If alpha is a root of 4x^2+2x-1=0, then the other root is

    Text Solution

    |