Home
Class 11
MATHS
If alpha,beta be the two roots of the eq...

If `alpha,beta` be the two roots of the equation `x^2+x+1`=0, then the equation whose roots are `alpha/beta` and `beta/alpha` is

A

`x^2+x+1=0`

B

`x^2-x+1=0`

C

`x^2-x-1=0`

D

`x^2+x-1=0`

Text Solution

Verified by Experts

The correct Answer is:
A
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

IF alpha and beta be the roots of the equation 2x^2+x+1=0 find the equation whose roots are alpha^2/beta and beta^2/alpha

IF alpha,beta be the roots of the equation x^2+x+1=0 , form the equation whose roots are alpha/beta and beta/alpha . Explain why you get the same equation as the given one.

IF alpha and beta be the roots of the equation x^2-4x+10=0 , find the equation whose roots are alpha/(1+beta) and beta/(1+alpha) .

If alpha and beta are the roots of the equation x^2+x+1=0 , then the equation whose roots are alpha^19 and beta^7 is

If alpha,beta are the roots of lthe equation 2x ^2-3x-6=0, find the equation whose roots are alpha^2+2 and beta^2+2.

If alpha and beta be the roots of the equation x^2+3x+4=0 find the equation whose roots are (alpha+beta)^2 and (alpha-beta)^2 .

If alpha and beta are the roots of the equation x^2 + x + 1=0 , then me equation whose roots are alpha^(19) and beta^(7) is:

IF alpha and beta be the roots of the equation x^2+3x+4=0 , find the equation whose roots are (alpha+beta)^2 and (alpha+beta)^2

If alpha ,beta are the roots of the equation 2x^2+2(a+b)x+a^2+b^2=0 then find the equation whose roots are (alpha + beta)^2 and (alpha-beta)^2

If alpha,beta are the roots of the equation x^2-2x+3=0 obtain the equation whose roots are alpha^3-3alpha^2+5alpha-2 and beta^3-beta^2+beta=5

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. If one root of the equation x^2+(1-3i)x-2(1+i)=0is -1+i, then the oth...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. If e^(cos x)-e^(-cos x) =4, then the value of the cosx is

    Text Solution

    |

  15. If altbltcltd, then the roots of equation (x-a)(x-c)+2(x-b)(x-d)=0, ar...

    Text Solution

    |

  16. If alphaand beta(alphaltbeta) are the roots of the equation x^2+bx+c=0...

    Text Solution

    |

  17. If tan of angles A,B,C are the solutions of the equations tan^3x+3ktan...

    Text Solution

    |

  18. The number of solutions of the equation sin(e^x)=5^x+5^(-x)is

    Text Solution

    |

  19. If p(x) be a polynomial satisfying the identity p(x^2)+2x^2+10x=2xp(x+...

    Text Solution

    |

  20. Ifbgta, then the equation (x-a)(x-b)-1=0, has

    Text Solution

    |