Home
Class 12
MATHS
The quadratic equation with rational coe...

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

A

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

B

`x^(2)-6x-7=0`

C

`x^(2)-6x+7=0`

D

`x^(2)+6x-7=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise EXERCISE-II|121 Videos

  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|88 Videos

  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|10 Videos

  • PROBABILITY

    AAKASH SERIES|Exercise Practise Exercise|165 Videos

  • RANDOM VARIABLE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|34 Videos

Similar Questions

Explore conceptually related problems

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

IF alpha , beta are the roots of the equation x^2+2ax +b=0 , then the quadratic equation with rational coefficient one of whose roots is alpha + beta + sqrt(alpha ^2+ beta ^2) is

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

Form the polynomial equation with rational coefficients whose roots are 4sqrt(3),5+2i

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

Form the polynomial equation with rational coefficients whose roots are 1+5i,5-I

The Q.E. whose one root is 2 - sqrt 3 is

Form the polynomial with rational coefficients whose roots are 4sqrt(3) ,5+2i

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

AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-I
  1. If one root of x^2+px+1=0 is square that of the other thenp=

    Text Solution

    |

  2. If one root of x^(2)+px+q=0 may be the square pf the other, then p^(3)...

    Text Solution

    |

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

    Text Solution

    |

  4. If 3+4i is a root of equation x^(2)+px+q=0 where p, q in R then

    Text Solution

    |

  5. The quadratic equation whose one root is (-3+I sqrt7)/(4) is

    Text Solution

    |

  6. If the roots of x^(2)-2(7+3m)x+55m+45=0, are equal, then m =

    Text Solution

    |

  7. The roots of the equation x^(2)-2sqrt3 x+3=0 are

    Text Solution

    |

  8. IF the roots of the equation x^2+a^2 =8x + 6a are real , then...

    Text Solution

    |

  9. If the roots of (x^(2)-bx)/(ax-c)=(k-1)/(k+1) are numerically equal bu...

    Text Solution

    |

  10. The least integral value of 'a' for which the equation x^(2)-2(a-1)x+(...

    Text Solution

    |

  11. The value of 'a' for which the equation 3x^(2)+2(a^(2)+1)x+(a^(2)-3a+2...

    Text Solution

    |

  12. If the roots ax^(2)+bx+c=0 are both negative and b lt 0, then

    Text Solution

    |

  13. The coefficient of x in a quadratic equation x^2 + px +q=0 was ...

    Text Solution

    |

  14. In finding the roots of x^(2) + px + q = 0 the coefficient of x was ta...

    Text Solution

    |

  15. IF the harmonic mean between the roots of (5 + sqrt(2))x^2-bx +...

    Text Solution

    |

  16. The equation x-(2)/(x-1) =1-(2)/(x-1) has

    Text Solution

    |

  17. If a = 0 then the equation (x-a-1)/(x-a)= (a +1)-(1)/(x-a) has

    Text Solution

    |

  18. If x^(2) + ax + b = 0, x^(2) + bx + a = 0 (a != 0) have a common root,...

    Text Solution

    |

  19. The value of a such that x^2 -11x+a =0 ,x^2 -14 x + 2a=0 may h...

    Text Solution

    |

  20. if 2x - 7 - 5x^2 has maximum value at x=a then a=

    Text Solution

    |