Home
Class 12
MATHS
The equaiton of lowest degree with ratio...

The equaiton of lowest degree with rational coefficients having a roots `sqrt(3) + sqrt(2)` is

A

`x^(4) + 10x^(2) - 1 = ` 0

B

`x^(4) - 10x^(2) + 1 = 0 `

C

`x^(4) + 10x^(2) + 1 = 0 `

D

`x^(4) - 10x^(2) - 1 = 0`

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|76 Videos

  • 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 - 4|4 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 of lowest degree with rational coefficient having a root sqrt(3) + sqrt(2) is

The equation of lowest degree with rational coeficients having a root sqrt(3) + sqrt(2)i is

The equation of lowest degree with rational coeficients having a root - sqrt(2) - sqrt(2)i is

The biquadratic equation with rational coefficients having roots 2 + sqrt(3) , 3+ 4i is

The minimum degree of polynomial equation with rational coefficients having sqrt(3)+sqrt(27),sqrt(2)+5i as two of its roots is

The quadratic equation with rational coefficients whose one root is 3+sqrt2 is

Form the polynomial equation with rational coefficients whose roots are -sqrt(3)+isqrt(2)

Form the polynomial with rational coefficients whose roots are i- sqrt(5)

DIPTI PUBLICATION ( AP EAMET)-THEORY OF EQUATIONS-EXERCISE 1A
  1. The biquadratic equation, two of whose roots are 1 + i , 1 - sqrt(2) ...

    Text Solution

    |

  2. The equation whose roots are , 0, 0, 2,2,-3,-3 is

    Text Solution

    |

  3. The equaiton of lowest degree with rational coefficients having a root...

    Text Solution

    |

  4. The equation of lowest degree with rational coeficients having a root ...

    Text Solution

    |

  5. The equation of lowest degree with rational coeficients having a roots...

    Text Solution

    |

  6. If (x) is a polynomal of degree n with rational coeficients and 1 + 2...

    Text Solution

    |

  7. If 1,2,3 and 4 are the roots of the eqaution x^(4) + ax^(3) + b x^(2) ...

    Text Solution

    |

  8. The roots of x^(3) + 2x^(2) - x - 2 = 0 are

    Text Solution

    |

  9. The roots of x^(3) + x^(2) - 2x - 2 = 0 are

    Text Solution

    |

  10. Thr roots of the equation x^(3) - 3x - 2 = 0 are

    Text Solution

    |

  11. The roots of x^(4) - 1 = 0 are

    Text Solution

    |

  12. The roots of x^(4) - 5x^(3) + 3x^(2) + 19x - 30 = 0 are

    Text Solution

    |

  13. Given that 2 is a root of x^3-6x^2+3x+10=0 , find the other roots .

    Text Solution

    |

  14. If 2 is a root of x^(3) + 3x^(2) - 4x + k = 0 then the roots are

    Text Solution

    |

  15. The roots of x^(4) + 4x^(3) + 5x^(2) + 2x - 2 = 0 one root being -1 +...

    Text Solution

    |

  16. The roots of 3x^(3) - 4x^(2) +x +88 = 0, one root being 2 + sqrt(7) i...

    Text Solution

    |

  17. The root of x^(3) - 6x^(2) + 7x + 2 = 0 one root being 2 + sqrt(5) ar...

    Text Solution

    |

  18. If 3 - sqrt(2) is a root of x^(4) - 8x^(3) + 21x^(2) - 26x + 14 = 0 ...

    Text Solution

    |

  19. If 2, 3 are the roots of the equation 2x^(3) + px^(2) - 13x + q = 0, t...

    Text Solution

    |

  20. If - 1 + i is a root of x^(4) + 4x^(3) + 5x^(2) + 2x + k = 0 then k =

    Text Solution

    |