Home
Class 11
MATHS
If 2+sqrt(3)i is a root of the equation ...

If `2+sqrt(3)i` is a root of the equation `x^2+p x+q=0` , then write the values of `p\ a n d\ q` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA ENGLISH|Exercise All Questions|290 Videos
  • RELATIONS

    RD SHARMA ENGLISH|Exercise All Questions|130 Videos

Similar Questions

Explore conceptually related problems

If a\ a n d\ b are roots of the equation x^2-p x+q=0 ,then write the value of 1/a+1/bdot

If the sum of square of roots of the equation x^2+(p+i q)x+3i=0 is 8, then find the value of p and q , where p and q are real.

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

Fill in the blanks If 2+isqrt(3) is a root of the equation x^2+p x+q=0,w h e r epa n dq are real, then (p ,q)=(______,_____) .

If -3+5i is a root of the equation x^2+p x+q=0 , then the ordered pair (p ,q) is (p ,q in R) (-6,34) (b) (6,34) 34 ,-6) (d) 34 ,6)

If -1 and 3 are the roots of x^(2)+px+q=0 , find the values of p and q.

Let p, q in R . If 2- sqrt3 is a root of the quadratic equation, x^(2)+px+q=0, then

If one root is square of the other root of the equation x^2+p x+q=0, then the relation between pa n dq is p^3-q(3p-1)+q^2=0 p^3-q(3p+1)+q^2=0 p^3+q(3p-1)+q^2=0 p^3+q(3p+1)+q^2=0

If the roots of the equation x^2 + px-q = 0 are tan 30^@ and tan 15^@ then the value of 2-q-p is

If p and q are roots of the quadratic equation x^(2) + mx + m^(2) + a = 0 , then the value of p^(2) + q^(2) + pq , is

RD SHARMA ENGLISH-QUADRATIC EQUATIONS-All Questions
  1. Solve the following quadratic equation: (2+i)x^2-(5-i)x+2(1-i)=0

    Text Solution

    |

  2. Solve the following quadratic equation: \ i x^2-4x-4i=0

    Text Solution

    |

  3. Solve the following quadratic equation: \ x^2-(5-i)x+(18+i)=0

    Text Solution

    |

  4. Solve the following quadratic equation: \ x^2-(2+i)x-(1-7i)=0

    Text Solution

    |

  5. Solve the following quadratic equation: \ x^2+4i x-4=0

    Text Solution

    |

  6. Solve the following quadratic equation: 2x^2+sqrt(15)i x-i=0

    Text Solution

    |

  7. Solve the following quadratic equation: \ i x^2-x+12 i=0

    Text Solution

    |

  8. Solve the following quadratic equation: \ x^2-(3sqrt(2)-2i)x-sqrt(2)i=...

    Text Solution

    |

  9. Solve the following quadratic equation: \ 2x^2-(3+7i)x+(9i-3)=0

    Text Solution

    |

  10. If a\ a n d\ b are roots of the equation x^2-p x+q=0 ,then write the v...

    Text Solution

    |

  11. If roots alpha,beta of the equation x^2-p x+16=0 satisfy the relation ...

    Text Solution

    |

  12. If 2+sqrt(3)i is a root of the equation x^2+p x+q=0 , then write the v...

    Text Solution

    |

  13. If the difference between the roots of the equation\ x^2+a x+8=0 is...

    Text Solution

    |

  14. If a\ a n d\ b are roots of the equation x^2-x+1=0 then write the valu...

    Text Solution

    |

  15. Write the number of quadratic equation with real roots, which do no...

    Text Solution

    |

  16. If alpha,beta are roots of the equation x^2+l x+m=0 , write an equatio...

    Text Solution

    |

  17. If a , b are the roots of the equation x^2+x+1=0, then a^2+b^2 =

    Text Solution

    |

  18. If alpha and beta are the roots of 4x^2+3x+7=0 , then the value of 1/a...

    Text Solution

    |

  19. If the difference of the roots of x^2-p x+q=0 is unity, then a) p^2+...

    Text Solution

    |

  20. If alpha,beta are the roots of the equation x^2-p(x+1)-c=0 then (alpha...

    Text Solution

    |