Home
Class 11
MATHS
Let alpha,beta are the roots of x^2+b x+...

Let `alpha,beta` are the roots of `x^2+b x+1=0.` Then find the equation whose roots are `(alpha+1//beta)a n d(beta+1//alpha)` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos
  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

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

If alpha, beta are the roots of x^(2)+6x+9=0 , then the equation whose roots are (1)/(alpha), (1)/(beta) is

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

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 x^(2)+x+1=0 , then the equation whose roots are alpha^(5), beta^(5) is

IF alpha, beta are the roots of 9x^2+6x+1=0 then the equation with the roots 1// alpha , 1//beta is

If alpha, beta are the roots of x^(2)+2x+5=0 , then the equation whose roots are (alpha+1)/(alpha), (beta+1)/(beta) is

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

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

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

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If alpha,beta are the roots of the equation 2x^2+2(a+b)x+a^2+b^2=0 , t...

    Text Solution

    |

  2. If x^2+a x+bc=0 a n d x^2+b x+c a=0(a!=b) have a common root, then pro...

    Text Solution

    |

  3. Let alpha,beta are the roots of x^2+b x+1=0. Then find the equation wh...

    Text Solution

    |

  4. Find the greatest value of a non-negative real number lambda for which...

    Text Solution

    |

  5. If a ,b ,c in R such that a+b+c=0a n da!=c , then prove that the root...

    Text Solution

    |

  6. If the fraction (x^3+(a-10)x^2-x+a-6)/(x^3+(a-6)x^2-x+a-10) reduces to...

    Text Solution

    |

  7. If the equation (a-5)x^2+2(a-10)x+a+10=0 has roots of opposite sign, t...

    Text Solution

    |

  8. If alphaa n dbeta are the roots of ax^2+bx+c=0a n dSn=alpha^n+beta^n,...

    Text Solution

    |

  9. If alpha is a root of the equation 4x^2+2x-1=0, then prove that 4alp...

    Text Solution

    |

  10. If both the roots of x^2-a x+a=0 are greater than 2, then find the val...

    Text Solution

    |

  11. If (y^2-5y+3)(x ^2+x+1)<2x for all x in R , then fin the interval i...

    Text Solution

    |

  12. The values of 'a' for which 4^x-(a-4) 2^x+(9a)/4<0 AAx in(1,2) is

    Text Solution

    |

  13. Find the number of positive integral values of k for which kx ^(2) +(k...

    Text Solution

    |

  14. If x^2+2ax+a lt 0 AA x in [1, 2] then find set of all possible values ...

    Text Solution

    |

  15. Given that a ,b ,c are distinct real numbers such that expressions a ...

    Text Solution

    |

  16. Find the number of quadratic equations, which are unchanged by squarin...

    Text Solution

    |

  17. Solve the following: (sqrt(x^2-5x+6)+sqrt(x^2-5x+4))^(x/2)+(sqrt(x^2-...

    Text Solution

    |

  18. Show that the equation A^2//(x-a)+B^2//(x-b)+C^2//(x-c)+...+H^2//(x-h)...

    Text Solution

    |

  19. Find the values of a if x^2-2(a-1)x+(2a+1)=0 has positive roots.

    Text Solution

    |

  20. If alphaa n dbeta,alphaa n dgamma,alphaa n ddelta are the roots of th...

    Text Solution

    |