Home
Class 12
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+1=0` , then write the values of `p\ a n d\ q` .

A

`(-6,34)`

B

`(6,34)`

C

`(34,-6)`

D

`(34,6)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 Videos

  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

Similar Questions

Explore conceptually related problems

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 .

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

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

If (1-p) is a root of quadratic equation x^2+p x+(1-p)=0, then find its roots.

If (1-p) is a root of quadratic equation x^2+p x+(1-p)=0, then find its roots.

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 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

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

RESONANCE ENGLISH-DPP-QUESTION
  1. If x(1) and x(2) are the roots of the equation e^(2)* x^(In x) = x^(...

    Text Solution

    |

  2. If P =3^sqrt(log(3)2)-2^(sqrt(log(2)3))and Q=log(2)log(3)log(2)log (sq...

    Text Solution

    |

  3. If 2+sqrt(3)i is a root of the equation x^2+p x+1=0 , then write the v...

    Text Solution

    |

  4. Minimum value of of f (x)=2x^(2)-4x+5is

    Text Solution

    |

  5. The statement which gives the best description of location of the vert...

    Text Solution

    |

  6. If (3+2sqrt2)/(3-sqrt2)=a+bsqrt2,"then a & b"(a, b inQ) are respective...

    Text Solution

    |

  7. The number of real solutions of equation x^(log(x)2)+x^(2)=3x is

    Text Solution

    |

  8. If a=(x)/(x^(2)+y^(2))and b=(y)/(x^(2)+y^(2)). The value of (x+y) is

    Text Solution

    |

  9. Which of these-five numbers sqrt(pi^(2)),""^(3)sqrt(0.08),""^(4)sqrt(0...

    Text Solution

    |

  10. If ln^(2)x+3lnx-4 is non negative, then x must lie in the interval :

    Text Solution

    |

  11. If A & B are two rational numbers and AB, A + B and A -B are rational ...

    Text Solution

    |

  12. The expression ((logR((a)/b))^(3)+(log(R)((b)/(c)))^(3)+(log (R)((c)/(...

    Text Solution

    |

  13. If f(x)=x^4-2x^3+3x^2-a x+b is a polynomial such that when it is divid...

    Text Solution

    |

  14. Match the following {:(,"Column-I",,"Column-II"),((A),"Even number",...

    Text Solution

    |

  15. STATEMENT-1: log(2 + sin 2x) (x^4+x^2+1)e^(sinx) gt0 STATEMENT-2: Prod...

    Text Solution

    |

  16. The solution set of the equation (x+1)log(3)^(2)x+4xlog(3)-16=0is

    Text Solution

    |

  17. The largest real solution of the equatio sqrt(sqrt(sqrtx))=4sqrt(4sqrt...

    Text Solution

    |

  18. The number of distinct pairs (x,y) of the real number satisfying x=x^(...

    Text Solution

    |

  19. Let X minimum (x^(2)-2x+7),c inRand B="Minimum"(x^(2)-2x+7),x in[2,oo)...

    Text Solution

    |

  20. If alpha,beta, gamma are the roots of the cubic equation 2009x^(3)+2x^...

    Text Solution

    |