Home
Class 12
MATHS
IF 3+i is a root of the equation x^...

IF ` 3+i` is a root of the equation ` x^2 + ax + b=0` then a=

A

3

B

-3

C

6

D

-6

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise EXERCISE-II|121 Videos
  • PROBABILITY

    AAKASH SERIES|Exercise Practise Exercise|165 Videos
  • RANDOM VARIABLE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|34 Videos

Similar Questions

Explore conceptually related problems

IF 3+ 4i is a root of the equation x^2 +px +q=0 then

If x = 1 + i is a root of the equation x^(2) - ix - 1-i = 0 then the other real root is

If 1-i is a root of the equation x^(2)+ax+b=0 , then b is equal to

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

If a and b are the non-zero roots of the equation x^(2) + ax + b = 0 , then the least value of the expression x^(2) + ax + b is

If 3+4i is a root of the equation ax^(2)+bx+c= 0 where a, b, c in R then 31a+b+c=

The roots of the equation x^(2)-2ax+8a-15=0 are equal, then a =

If 1,2,3 and 4 are the roots of the equation x^4 + ax^3 + bx^2 +cx +d=0 then a+ 2b +c=

If 2a + 3b + 6c = 0, show that there exists at least one root of the equation ax^(2) + bx + c = 0 in the interval (0,1).

AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-PRACTICE EXERCISE
  1. If alpha, beta are the roots of 2x^(2) + 5x + 2 = 0, then the equation...

    Text Solution

    |

  2. The number of integral solutions of 2(x^(2)+(1)/(x^(2)))-7(x+(1)/(x)) ...

    Text Solution

    |

  3. IF 3+i is a root of the equation x^2 + ax + b=0 then a=

    Text Solution

    |

  4. The roots of the equation x^(2)-2ax+8a-15=0 are equal, then a =

    Text Solution

    |

  5. If one root of the equation I x ^2 - 2(1+i) x+ (2-i) =0 is 2- I ...

    Text Solution

    |

  6. If x = 1 + i is a root of the equation x^(2) - ix - 1-i = 0 then the o...

    Text Solution

    |

  7. Assertion (A) : If the roots of (b-c) x^(2) + (c-a) x+(a-b) = 0 are eq...

    Text Solution

    |

  8. If x^(2) - (5m - 2)x + 4m^(2) + 10m + 25 is a perfect square then m = ...

    Text Solution

    |

  9. The roots of the equation x^(2)+2ax+a^(2)+b^(2)=0 are

    Text Solution

    |

  10. The roots of the equation 2(a ^2 +b^2)x^2+2(a+b)x+1=0 are

    Text Solution

    |

  11. For p, q in R, the roots of (p^(2) + 2)x^(2) + 2x(p +q) - 2 = 0 are

    Text Solution

    |

  12. If the equation x^(2)-x+ m^(2) = 0 has no real roots then m can satisf...

    Text Solution

    |

  13. If the roots (1)/(x+k+1)+(2)/(x+k+2)=1 are equal in magnitude but oppo...

    Text Solution

    |

  14. The roots of the equation 5x^(2)+10x-7=0 are

    Text Solution

    |

  15. The set of values of p for which the roots of the equation 3x^(2) + 2x...

    Text Solution

    |

  16. If the roots of ax^(2)+ bx + c = 0 are equal in magnitude but opposite...

    Text Solution

    |

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

    Text Solution

    |

  18. The value of 'a' for which the quadratic equation 2x^(2) - x(a^(2) + 8...

    Text Solution

    |

  19. Let alpha, beta be the roots of the equation (x - a)(x - b) = c, c != ...

    Text Solution

    |

  20. The equation |x|^(2) -|x|-6 = 0 has

    Text Solution

    |