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

A

`p = -4, q = 7`

B

`p = 4, q = 7`

C

`p = 4, q = - 7`

D

`p = -4, q = -7`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS AND EQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|50 Videos

  • QUADRATIC EXPRESSIONS AND EQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|22 Videos

  • PROBABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|45 Videos

  • SEQUENCES AND SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|59 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

OBJECTIVE RD SHARMA ENGLISH-QUADRATIC EXPRESSIONS AND EQUATIONS -Exercise
  1. Solve |x^2+4x+3|+2x+5=0.

    Text Solution

    |

  2. For a alt=0, determine all real roots of the equation x^2-2a|x-a|-3...

    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. If tan alpha tan beta are the roots of the equation x^2 + px +q =0(p!...

    Text Solution

    |

  5. Root of the quadratic equation x^2+6x-2=0

    Text Solution

    |

  6. If sum of the roots of ax^(2)+bx+c=0 is equal to the sum of the square...

    Text Solution

    |

  7. For real x , the function (x-a)(x-b)//(x-c) will assume all real value...

    Text Solution

    |

  8. If a(p+q)^2+2b p q+c=0 and a(p+r)^2+2b p r+c=0 (a!=0) , then which one...

    Text Solution

    |

  9. If the roots of the equation a x^2+2b x+c=0 and b x^2-2sqrt(a c) x+b=0...

    Text Solution

    |

  10. If a, b, c are real and x^3-3b^2x+2c^3 is divisible by x -a and x - b,...

    Text Solution

    |

  11. if p and q are non zero constants, the equation x^2+px+q=0 has roots ...

    Text Solution

    |

  12. The equation x^((3)/4 (log2x)^2+log2 x -(5)/(4))=sqrt(2) has :

    Text Solution

    |

  13. cosα is a root of the equation 25x^2+5x−12=0,−1 lt x lt 0, then the va...

    Text Solution

    |

  14. If a+b+c=0 then check the nature of roots of the equation 4a x^2+3b x+...

    Text Solution

    |

  15. If b gt a, then the equation (x-a)(x-b)-1=0 has (a) Both roots in (a...

    Text Solution

    |

  16. If a,b,c epsilonQ then roots of the equation (b+c-2a)x^(2)+(c+a-2b)x+(...

    Text Solution

    |

  17. If a,b,c are positive real numbers, then the number of real roots of t...

    Text Solution

    |

  18. Real roots of equation x^2 + 5 |x| + 4 = 0 are

    Text Solution

    |

  19. If aa n db(!=b) are the roots of the equation x^2+a x+b=0, then find t...

    Text Solution

    |

  20. If f(x) = (x^2 -2x + 4)/(x^2+2x+4), x in R then range of function is

    Text Solution

    |