Home
Class 12
MATHS
The equation whose roots are squares...

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

A

`x^3 - 6x^2 -11 x -9=0`

B

`x^3 - 6x^2 -11x +9=0`

C

`x^3 + 6x -11x -9=0`

D

`x^3 +6x ^2 +11 x +9=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE-II|54 Videos

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise EXERCISE 2.2|22 Videos

  • TRANSFORMATIONS AND INDENTITIES

    AAKASH SERIES|Exercise PRACTIVE EXERCISE|36 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 equation whose roots are square of the roots of x^(4) + x^(3) + x^(2) + x + 1 =0 is

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

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

Find the equation whose roots are the squares of the roots of x^3 +3x^2 -7x +6=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

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

AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE-III
  1. If alpha , beta , gamma are the roots of the equation x^3 +4x^...

    Text Solution

    |

  2. If alpha , beta , gamma are the roots of x^3 + 2x^2 + 3x +8=0 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. The equation whose roots are squares of the roots of x^3 + 2...

    Text Solution

    |

  6. The equation whose roots are cubes of the roots x^3 +2x^2 +3=0...

    Text Solution

    |

  7. If f(x) =x^3 +x^2 +x+1 then the coefficient of x in f(x+5) i...

    Text Solution

    |

  8. The equation whose roots are opposite in sign and equal to magn...

    Text Solution

    |

  9. To remove the 2^( nd ) term of the equation x^4 - 8x^3 + x^2...

    Text Solution

    |

  10. The transformed equation of x^3 -6x^2 +5x +8=0 by eliinatin second...

    Text Solution

    |

  11. If the roots of ax^(3) + bx^2 + cx + d=0 are in G.P then the ...

    Text Solution

    |

  12. If 2,5,7,-4 are the roots of ax^4 + bx^3 + cx^2 + dx +e=0 then...

    Text Solution

    |

  13. If the roots of ax^3 + bx^2 + cx +d=0 are in G.P then the ro...

    Text Solution

    |

  14. If the roots of ax^3 + bx^2 + cx +d=0 are in A.P then the roots...

    Text Solution

    |

  15. solve x^5-5x^4+9x^3-9x^2+5x-1=0

    Text Solution

    |

  16. The equation x^6 - 2x ^5 + 3x^4 -3x ^2 +2x -1=0 is R.E . Of t...

    Text Solution

    |

  17. The equation 6x ^5 + 7x^4 +12x^3+ 12x^2 + 7x +6=0 is a recipr...

    Text Solution

    |

  18. Assertion (A ) : The equation whose roots are the squeares of...

    Text Solution

    |

  19. Assertion (A ) : the equation whose roots are exceed by 2 t...

    Text Solution

    |

  20. Assertion (A ) : the equation whose roos are multipled of by ...

    Text Solution

    |