Home
Class 12
MATHS
If 2+i sqrt(3) is a root of the equation...

If `2+i sqrt(3)` is a root of the equation `x^(2)+p x+q=0`, where p, q are real, then (p, q)=

A

1)(4,-7)

B

2)(4,7)

C

3)(-4,7)

D

4)(-4,-7)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|97 Videos

  • SETS,RELATIONS AND FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|285 Videos

Similar Questions

Explore conceptually related problems

If p and q are the roots of the equation x^(2)+p x+q=0 then

If p and q are the roots of the equation x^2-p x+q=0 , then

If the product of the roots of the equations x^(2) + 3x + q=0 is zero then q is equal to :

The roots of the equation (q- r) x^(2) + (r - p) x + (p - q)= 0 are

If one root of the equations x^(2) + px +q=0 is 3 times the other , prove that 3p^(2) = 16q.

For the equation 3 x^(2)+p x+3=0, p gt 0 , if one root is square of the other, then p=

If p and q are the roots of the equations x^(2) - 3x+ 2 = 0 , find the value of (1)/(p) - (1)/(q)

If p,q,r are in A.P. and are positive, the roots of the quadratic equation px^(2) + qx + r = 0 are real for :

If p, q, r are real numbers then:

If one root of the equation x^(2)+p x+12=0 is 4, while the equation x^(2)+p x+q=0 has equal roots then the value of q is

HIMALAYA PUBLICATION-QUADRATIC EQUATIONS AND EXPRESSION-Question Bank
  1. If alpha,beta are the roots of x^(2)-3 x+5=0 and gamma, delta are the...

    Text Solution

    |

  2. If alpha, beta are the roots of 2 x^(2)-x+7=0 then the equation whose ...

    Text Solution

    |

  3. If 2+i sqrt(3) is a root of the equation x^(2)+p x+q=0, where p, q are...

    Text Solution

    |

  4. If p,q,r , three positive real numbers are in A.P., then the roots of ...

    Text Solution

    |

  5. If 2 lies between the roots 'of x^(2)+(a+1) x-a-2=0 then a in

    Text Solution

    |

  6. If the roots of (a^(2)+b^(2)) x^(2)+2(a c+b d) x+(c^(2)+d^(2))=0 are e...

    Text Solution

    |

  7. If one root of x^(2)-x+3 a=0 is double the root of x^(2)-x+a=0 then no...

    Text Solution

    |

  8. If the equation ax^(2) + 2bx - 3c = 0 has non-real roots and ((3c)/(4)...

    Text Solution

    |

  9. If alpha, beta are the roots of 4 x^(2)-16 x+c=0, c >0 such that 1<alp...

    Text Solution

    |

  10. If a, b, c are real, c ge 0 and a x^(2)+b x+c=0 has no real roots, the...

    Text Solution

    |

  11. The value of p for which the sum of the squares of the roots of 2 x^(2...

    Text Solution

    |

  12. If alpha, beta are the roots of lambda(x^(2)+x)+x+5=0 and lambd...

    Text Solution

    |

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

    Text Solution

    |

  14. If one root of (a^(2)-5 a+3) x^(2)+(3 a-1) x+2=0 is twice the other th...

    Text Solution

    |

  15. The equation (cos beta-1) x^(2)+(cos beta) x+sin beta=0 in the variabl...

    Text Solution

    |

  16. Let alpha, beta the roots of the equation (x - a) (x - b) = c , c ne...

    Text Solution

    |

  17. If a le b le c le d then the equation (x-a)(x-c)+2(x-b)(x-d)=0 has

    Text Solution

    |

  18. Both the roots of the equation : (x - b) (x -c) + (x - c) (x - a) +...

    Text Solution

    |

  19. If one root of the equation (a-b) x^(2)+a x+1=0 is double the other an...

    Text Solution

    |

  20. If alpha,beta be the roots of x^(2)+x+2=0 and gamma, delta be the root...

    Text Solution

    |