Home
Class 12
MATHS
Let alpha, beta be the roots of x^(2)+a ...

Let `alpha, beta` be the roots of `x^(2)+a x+1=0`. Then the equation whose roots are –`(alpha+(1)/(beta))` and `-(beta+(1)/(alpha))`

A

`x^(2)=0`

B

`x^(2)+2 a x+4=0`

C

`x^(2)-2 a x+4=0`

D

`x^(2)-a x+1=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|97 Videos

  • SETS,RELATIONS AND FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|285 Videos

Similar Questions

Explore conceptually related problems

If alpha, beta are the roots of x^(2)-3x+1=0 , then the equation whose roots are (1/(alpha-2),1/(beta-2)) is

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

Let alpha, beta be the roots of x^(2)+x+1=0 . The equation whose roots are alpha^(25) and beta^(22) .

If alpha, beta are the roots of a x^(2)+b x+c=0 the equation whose roots are alpha+(1)/(beta) and beta+(1)/(alpha) is

If alpha , beta are the roots of 2 x^(2)-x+7=0 then the equation whose roots are 2-3 alpha and 2-3 beta is

Let alpha and beta be the roots of the equation x^(2)+x+1=0 . The equation whose roots are alpha^(19) and beta^(7) is

If alpha, beta be the roots of the equation x^2-px+q=0 then find the equation whose roots are q/(p-alpha) and q/(p-beta)

If alpha, beta are the roots of a x^(2)+b x+c=0 the equation whose roots are (alpha+beta)^(-1) , alpha^(-1)+ beta^(-1) is

If alpha and beta be the roots of the equation x^(2) + 7x + 12 = 0 . Then equation whose roots are (alpha + beta)^(2) and (alpha - beta)^(2) is :

If alpha and beta are the rotos of a x^(2)+b x+c=0 the equation whose roots are 2+alpha and 2+beta is

HIMALAYA PUBLICATION-QUADRATIC EQUATIONS AND EXPRESSION-Question Bank
  1. If x^(2)-3 x+1=0, then (x^(14)+1)/(x^(7))=

    Text Solution

    |

  2. If alpha, beta are the rots of a x^(2)+b x+c=0 and alpha+h, beta+h are...

    Text Solution

    |

  3. Let alpha, beta be the roots of x^(2)+a x+1=0. Then the equation whose...

    Text Solution

    |

  4. Let alpha, beta be the roots of x^(2)+x+1=0. The equation whose roots ...

    Text Solution

    |

  5. If alpha, beta are the roots of a x^(2)+b x+c=0 the equation whose roo...

    Text Solution

    |

  6. If alpha, beta are the roots of a x^(2)+b x+c=0 the equation whose roo...

    Text Solution

    |

  7. If alpha,beta are the roots of x^(2)-3 x+5=0 and gamma, delta are the...

    Text Solution

    |

  8. If alpha, beta are the roots of 2 x^(2)-x+7=0 then the equation whose ...

    Text Solution

    |

  9. If 2+i sqrt(3) is a root of the equation x^(2)+p x+q=0, where p, q are...

    Text Solution

    |

  10. If p,q,r , three positive real numbers are in A.P., then the roots of ...

    Text Solution

    |

  11. If 2 lies between the roots 'of x^(2)+(a+1) x-a-2=0 then a in

    Text Solution

    |

  12. If the roots of (a^(2)+b^(2)) x^(2)+2(a c+b d) x+(c^(2)+d^(2))=0 are e...

    Text Solution

    |

  13. If one root of x^(2)-x+3 a=0 is double the root of x^(2)-x+a=0 then no...

    Text Solution

    |

  14. If the equation ax^(2) + 2bx - 3c = 0 has non-real roots and ((3c)/(4)...

    Text Solution

    |

  15. If alpha, beta are the roots of 4 x^(2)-16 x+c=0, c >0 such that 1<alp...

    Text Solution

    |

  16. If a, b, c are real, c ge 0 and a x^(2)+b x+c=0 has no real roots, the...

    Text Solution

    |

  17. The value of p for which the sum of the squares of the roots of 2 x^(2...

    Text Solution

    |

  18. If alpha, beta are the roots of lambda(x^(2)+x)+x+5=0 and lambd...

    Text Solution

    |

  19. If the roots of the equation x^(2)-b x+c=0 be two eanseeutive integers...

    Text Solution

    |

  20. If one root of (a^(2)-5 a+3) x^(2)+(3 a-1) x+2=0 is twice the other th...

    Text Solution

    |