Home
Class 12
MATHS
The equation whose roots exceed by...

The equation whose roots exceed by 2 than the roots of ` 4x^4 + 32x^3 + 83 x^2 + 76 x + 21 =0` is

A

`4x^4 + 13 x^2 + 9 =0`

B

`4x^4 -13x^2 +9=0`

C

` 4x^4 +12 x^2 -9=0`

D

`4x^4 + 12x^2 -9=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE-III|46 Videos

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE-I|47 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 exceed by 1 then those of x^(3) - 5x^(2) + 6x - 3 = 0 is

The equation whose roots are exceed by 1 then those of x^(5) + 5x^(4) + 3x^(3) + x^(2) + x - 1 = 0 is

The equation whose roots are exceed by 2 then those x^(4) + x^(3) - 10x^(2) + 4x + 24 = 0 is

The equation whose roots are greater by 1 than those of 2x ^2-3x +1=0 is

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

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

A : the equation whose roots are exceed by 2 than those of 2x^(3) + 3x^(2) - 4x + 5 =0 is 2x^(3) - 9x^(2) + 8x + 9 =0 R : the equation whose roots are exceed by h than those of f(x) = 0 is f(x - h)= 0.

Find the equation whose roots are 2 times the roots of x^5 -2x^4 +3x^3 -2x^2 +4x +3=0

AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE-II
  1. If alpha , beta , gamma are the roots of x^3 + qx +r=0 then (1...

    Text Solution

    |

  2. If f(x) =5x^3 +4x^2 - 13 x-25 and f(x-3) = 5x^3 - 41 x^2 + 98 x...

    Text Solution

    |

  3. The equation whose roots exceed by 2 than the roots of 4x^4 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. If 1,2,3 are the roots of ax^3 +bx^2 + cx +d=0 then the roots...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. If alpha , beta , gamma are the roots of the equation x^3 +px...

    Text Solution

    |

  10. Remove the third term from the equation x^4 +2x^3 -12 x^2 +2x -1...

    Text Solution

    |

  11. Number of transformed equations of x^3 +2x^2 +x+1=0 by eliminating...

    Text Solution

    |

  12. The transformed equation x^3 -5/2 x^2 -(7)/(18 ) x+(1)/( 108 )...

    Text Solution

    |

  13. The transformed equation with integer co-effcients whose roots ...

    Text Solution

    |

  14. If the equation whose roots are p times the roots of x^4 +2x^...

    Text Solution

    |

  15. Let alpha ne 1 be a real root of the equation x^(3) - ax^(2) + ax - 1 ...

    Text Solution

    |

  16. Assertion (A) : If 1,2,3 are the roots of ax^3 + bx ^2 +cx +d=0 ...

    Text Solution

    |

  17. Assertion (A) : if x^4 -x^3 -6x^2 +4x +8=0 has a multiple root ...

    Text Solution

    |

  18. Assertion (A) : If alpha , beta, gamma are the roots of x^3 -x-...

    Text Solution

    |

  19. Assertion (A ) : the number of roots of x^4 +2x^3 -7x^2 -8x +12=...

    Text Solution

    |

  20. Assertion (A ) : the roots x^4 -5x^2 +6=0 are +- sqrt(2) ,+-sqrt...

    Text Solution

    |