Home
Class 12
MATHS
The equation whose roots are square of t...

The equation whose roots are square of the roots of `x^(4) + x^(3) + x^(2) + x + 1 =0` is

A

`x^(4) + 3x^(3) + 4x^(2) + 3x + 1 = 0`

B

`x^(4) - 5x^(3) - 11x + 3 = 0 `

C

`x^(3) - 23x^(2) + 13x - 36 = 0`

D

` x^(4) + x^(3) + x^(2) x + 1 = 0`

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET -1|5 Videos

  • THEORY OF EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET -2|4 Videos

  • THEORY OF EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|165 Videos

  • THEORETICAL DISTRIBUTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1.2.3 OR 4 GIVEN (SET -4)|5 Videos

  • TRANSFORMATION OF AXES

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-4|3 Videos

Similar Questions

Explore conceptually related problems

The equation whose roots are square of the roots of x^(3) - 2x^(2) - 2x + 3 = 0 is

The cubic equation whose roots are the squares of the roots of x^(3) - 2x^(2) + 10x - 8 = 0 is

Find the equation whose roots are squares of the roots of x^4 +x^3 +2x^2 +x +1=0

The equation whose roots are squares of the roots of x^3 + 2x ^2 -x +3=0 is

Find the equation whose roots are the squares of the roots of x^4 +x^3 +2x ^2 +x+1=0

Assertion (A ) : The equation whose roots are the squeares of the roots of x^4 +x^3+2x^2 +x+1=0 is x^4 +3x^3 +4x^2 +3x+1=0 Reason (R ) : the equation whose roots are the squares of the roots of f (x ) =0 is obtained by eliminating squares root from f( sqrt(x))=0

DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1B
  1. The equation whose roots are square of the roots of x^(3) + x^(2) + x ...

    Text Solution

    |

  2. Find the polynomial equation whose roots are the squares of the roots ...

    Text Solution

    |

  3. The equation whose roots are square of the roots of x^(4) + x^(3) + x^...

    Text Solution

    |

  4. If 2, 3, 5 are the roots of ax^(3) + bx^(2) + cx + d = 0 then the roo...

    Text Solution

    |

  5. Form the polynomial equation whose roots are cubes of the roots of x^...

    Text Solution

    |

  6. If alpha , beta , gamma are the roots of x^(3) + qx + r = 0 then the e...

    Text Solution

    |

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

    Text Solution

    |

  8. If alpha, beta , gamma are the roots of x^(3) + 3x + 4 = 0 then the e...

    Text Solution

    |

  9. If alpha, beta , gamma are the roots of x^(3) + qx + r = 0 then the e...

    Text Solution

    |

  10. If alpha, beta , gamma are the roots of x^(3) + qx + q = 0 then the eq...

    Text Solution

    |

  11. If alpha, beta , gamma are the roots of x^(3) + 3px + q = 0 then the...

    Text Solution

    |

  12. If alpha, beta , gamma are the roots of x^(3) + 3x + 2 = 0 then the e...

    Text Solution

    |

  13. If alpha ,beta,gamma are the roots of x^3 -7x +6=0 then find the eq...

    Text Solution

    |

  14. If alpha , beta , gamma are the roots of x^3 + 4x +1 =0 then th...

    Text Solution

    |

  15. If alpha , beta , gamma are the roots of x^3 +x^2 + 2x +3=0 th...

    Text Solution

    |

  16. If alpha, beta , gamma are the roots of x^(3) + 2x^(2) - 3x + 4 = 0 th...

    Text Solution

    |

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

    Text Solution

    |

  18. If alpha, beta,gamma are the roots of x^3-6x^2+11x-6=0 then find t...

    Text Solution

    |

  19. If alpha , beta , gamma are the roots of x^3 -6x -4=0 then th...

    Text Solution

    |

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

    Text Solution

    |