Home
Class 12
MATHS
Let S={z in C:z^2+barz=0}, then sum(zinS...

Let `S={z in C:z^2+barz=0}`, then `sum_(zinS) (Re(z)+Im(z))` is equal to

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos
  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

Let S = {z in C : z^(2) = 4 (i bar(z))^(2)},"then" sum_(z in S)|z+(1)/(2)i| = ___________.

Let S = {z in C : |z - 2| = |z + 2i| = |z - 2i|} then sum_(z in S) |z + 1.5| is equal to _________

If conjugate of a complex number z is (2+5i)/(4-3i) , then |Re(z) + Im(z)| is equal to ____________

If z is purely imaginary and Im (z) lt 0 , then arg(i bar(z)) + arg(z) is equal to

Let z in C be such that Re(z^(2)) = 0 , then

If z_(1),z_(2) are complex number such that Re(z_(1) ) = |z_(1) - 1| , Re(z_(2)) = |z_(2) -1| and arg(z_(1) - z_(2)) = (pi)/(3) , then Im (z_(1) + z_(2)) is equal to

If z satisfies the equation ((z-2)/(z+2))((barz-2)/(barz+2))=1 , then minimum value of |z| is equal to :

Suppose z is a complex number such that z ne -1, |z| = 1, and arg(z) = theta . Let omega = (z(1-bar(z)))/(bar(z)(1+z)) , then Re (omega) is equal to

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. Number of all 3xx3 matrices formed by {1,-1,0} such that "Trace"(A A^T...

    Text Solution

    |

  2. If the coefficient of x^10 in (sqrtx/5^(1/4)+sqrt5/(x^(1/3)))^100 is 5...

    Text Solution

    |

  3. Let S={z in C:z^2+barz=0}, then sum(zinS) (Re(z)+Im(z)) is equal to

    Text Solution

    |

  4. The mean and variance of 10 observation are 15 & 15 respectively . If ...

    Text Solution

    |

  5. Let f(x)={(int0^x (5-abs(t-3))dt,x gt 4) ,(x^2+bx,xle4):} and f(x) is ...

    Text Solution

    |

  6. A person standing at a point on ground can see a point on a tower h me...

    Text Solution

    |

  7. Value of (2^3-1^3)/(1xx7)+(4^3-3^3+2^3-1^3)/(2xx11)+(6^3-5^3+4^3-3^3+2...

    Text Solution

    |

  8. int0^2(abs(2x^2-3x)+[x-1/2])dx , where [.]=GIF , is equal to

    Text Solution

    |

  9. If f(x)=sin^-1[2x^2-3]+log2(log(1/2)(x^2-5x+5)) where [.] is GIF then ...

    Text Solution

    |

  10. If T is a common tangent to the curve C1:x^2/4+y^2/9=1 , C2:x^2/42-y^2...

    Text Solution

    |

  11. If the length of the latus rectum of a parabola where focus is (a,a) a...

    Text Solution

    |

  12. If sum of infinite G.P whose first ter is a common ratio r is 5 and su...

    Text Solution

    |

  13. For a binomial probability distribution , sum and product of mean and ...

    Text Solution

    |

  14. f(x)=([729p(1+x)]^(1/7)-3)/([729(1+qx)]^(1/3)-9), and f(x) is continuo...

    Text Solution

    |

  15. A=[(alpha,beta,gamma),(alpha^2,beta^2,gamma^2),(beta+gamma ,alpha+gamm...

    Text Solution

    |

  16. Let n^(th)term of any sequence is given Tn=(-1^3+2^3-3^3+4^3+. . .+(2n...

    Text Solution

    |

  17. Let (1+isin alpha)/(1-2i sin alpha) is purely imaginary and (1+i cos b...

    Text Solution

    |

  18. The remainder when 7^(2022)+3^(2022) is divisible by 5 is

    Text Solution

    |

  19. The sum of all the values of x satisfying cos^(-1)x-2sin^(-1)x=cos^(-1...

    Text Solution

    |

  20. f(x)=int0^x e^(x-t)f'(t)dt+e^x(x^2-x+1). Find maximum value of f(x).

    Text Solution

    |