Home
Class 12
MATHS
If (1 + 2i) is a root of the equation x^...

If `(1 + 2i)` is a root of the equation `x^(2) + bx + c = 0 `. Where b and c are real, then (b,c) is given by :

A

(2 -5)

B

(-3,1)

C

(-2, 5)

D

(3,1)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|13 Videos

  • QUADRATIC EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|13 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS (QUESTIONS FROM KARNATAKA CET & COMED )|11 Videos

  • REAL NUMBERS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (Level-II)|8 Videos

Similar Questions

Explore conceptually related problems

If the roots of the equation : (b-c)x^(2) + (c-a) x + ( a-b) = 0 are equal, then a,b,c are in :

If the equation ax^(2) + 2bx - 3c = 0 has non-real roots and ((3c)/(4)) lt (a + b) , then c is always :

The nature of the roots of the equations ax^(2) + bx+ c =0 is decided by:

In the equations ax^(2) +bx +c=0 , if b=0 then the equations.

If the roots of the equation (a-b)x^(2)+(b-c)x+(c-a)=0 are equal, then

If the roots of the equation x^(3) + ax^(2) + bx + c = 0 are in A.P., 2a^(3) - 9ab =

If alpha and beta (alpha lt beta) are the roots of the equation x^(2) + bx + c = 0 , where c lt 0 lt b , then

If the equation x^2+2x+3=0 and ax^2+bx+c=0 have a common root then a:b:c is

Find the sum of roots of quadratic equations ax^(2) +bx+ c=0

If the roots of the equation x^(2)-b x+c=0 be two eanseeutive integers then b^(2)-4 a c=

MODERN PUBLICATION-QUADRATIC EQUATIONS -MULTIPLE CHOICE QUESTIONS (LEVEL-II)
  1. If alpha and beta be the roots of the equation x^(2) + 7x + 12 = 0. T...

    Text Solution

    |

  2. If the ratio of the equation x^(2) + qx + r = 0 , is the same as that ...

    Text Solution

    |

  3. If (1 + 2i) is a root of the equation x^(2) + bx + c = 0 . Where b and...

    Text Solution

    |

  4. The non-trival values of (a,b) such that roots of the equation x^(2) +...

    Text Solution

    |

  5. The number of values of 'k' for which the equation x^(2) - 3x + k = 0 ...

    Text Solution

    |

  6. If the roots of the equation (x^(2) -bx)/(ax - c) = (lambda - 1)/(lamb...

    Text Solution

    |

  7. If b gta, then the equation (x -a)(x - b) - 1 = 0 has :

    Text Solution

    |

  8. Let f (x) = (1 + b)^(2) x^(2) + 2bx + 1 and let m(b) be the minimum ...

    Text Solution

    |

  9. The number of solutions of : log(4) (x - 1)= log(2) (x - 3) is :

    Text Solution

    |

  10. If alpha ne beta and alpha^(2) = 5 alpha - 3, beta^(2) = 5 beta - 3 , ...

    Text Solution

    |

  11. The number of real roots of 3^2x^2-7x+7=9 is (A) 0 (B) 2 (C) 1 (D) 4

    Text Solution

    |

  12. The number of values of k, for which the system of eauations: (k+1)x...

    Text Solution

    |

  13. The set of all real numbers x for which x^2-|x+2| +x gt 0 is

    Text Solution

    |

  14. Find the value of a for which one root of the quadratic equation (a^2-...

    Text Solution

    |

  15. If minimum value of f(x)=(x^(2)+2bx+2c^(2)) is greater than the maximu...

    Text Solution

    |

  16. If (1 - p) is a root of quadratic equation x^(2) + px + (1 - p) = 0 , ...

    Text Solution

    |

  17. If one root of the equation x^(2) + px + q = 0 is square of the other...

    Text Solution

    |

  18. If the roots the quadratic equation x^(2) + px + q = 0 are tan 30^(...

    Text Solution

    |

  19. All the values of m for whilch both the roots of the equation x^2-2m x...

    Text Solution

    |

  20. If the difference between the roots of the equation x^2+a x+1=0 is les...

    Text Solution

    |