Home
Class 12
MATHS
The equation whose roots are 1+sqrt2i an...

The equation whose roots are `1+sqrt2i` and `1-sqrt2i` is :

A

`x^2-2x-3=0`

B

`x^2-2x+3=0`

C

`x^2+2x+3=0`

D

`x^2+2x-3=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    PREMIERS PUBLISHERS|Exercise Problems for practice (Answer the following)|21 Videos

  • THEORY OF EQUATIONS

    PREMIERS PUBLISHERS|Exercise Exercise 3.7|10 Videos

  • PROBABILITY DISTRIBUTIONS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|40 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|30 Videos

Similar Questions

Explore conceptually related problems

Form the quadratic equation whose roots are 3+ sqrt7 , 3-sqrt7

The quadratic equation whose roots are 3 + sqrt7 , 3 - sqrt7 is __________ .

Form the quadratic equation whose roots are 3 + sqrt7, 3- sqrt7

A cubic equation has roots 2 and 1+ sqrt3 Then its equation is

Let a= e^(i(2pi)/(3)) . Then the equation whose roots are a+a^(-2)" and "a^(2)+a^(-4) is

Form the quadratic equation from the roots given below. 2-sqrt(5) and 2+sqrt(5)

Find cube roots of sqrt3+i .

Two roots of quadratic equations are given, frame the equation. 1-3sqrt(5) " and " 1+3sqrt(5)

PREMIERS PUBLISHERS-THEORY OF EQUATIONS-Problems for practice (Choose the correct answer )
  1. The equation whose roots are 1+sqrt2i and 1-sqrt2i is :

    Text Solution

    |

  2. Find the maximum possible number of real roots of the equation. x^(5)-...

    Text Solution

    |

  3. If the equation x^2-ax+a+2=0 has equal roots then 'a' will be :

    Text Solution

    |

  4. The number of solution of x^2+|x+1|=1 is :

    Text Solution

    |

  5. If alpha, beta , gamma are the roots of the equation x^3-3x+2=0 then ...

    Text Solution

    |

  6. The sum of square of roots of the equation 2x^4+x^2+x+2=0 is :

    Text Solution

    |

  7. If alpha , beta, gamma are the roots of the equation x^3-4x^2+3x-1=0,...

    Text Solution

    |

  8. Form a polynomial equation with integer coefficients with sqrt((sqrt2)...

    Text Solution

    |

  9. A straight line and parabola cannot intersect at more than points.

    Text Solution

    |

  10. If a,b,c are rational , the roots of equation x^2-2ax+(a^2-b^2+2bc-c^...

    Text Solution

    |

  11. If x^(2) + ax + 1 is a factor of ax^(3) + bx + c, them find the condi...

    Text Solution

    |

  12. According to the rational root equation which number is not possible ...

    Text Solution

    |

  13. P(x)=x^5-4x^3+2x^2+x+7 cannot have more than positive real root.

    Text Solution

    |

  14. The value of k for which the equation x^2+kx+25=0 has equal roots is

    Text Solution

    |

  15. If alphabetagamma are the roots of x^3-3x^2+4x+1=0 then sum1/(alphabet...

    Text Solution

    |

  16. The only real root of x^3+2x^2+2x+1=0 is

    Text Solution

    |

  17. Find the correct statement for the following :

    Text Solution

    |

  18. Find the incorrect statement for the following :

    Text Solution

    |

  19. Identify the correct pair from the following statements: (i)For an ...

    Text Solution

    |

  20. Find the odd one out : If sqrtp+sqrtq is a root of a polynomial eq...

    Text Solution

    |