Home
Class 12
MATHS
The value of |z|^(2)+|z-3|^(2)+|z-i|^(2)...

The value of `|z|^(2)+|z-3|^(2)+|z-i|^(2)` is minimum when z equals -

A

`2-(2)/(3)i`

B

`45+3i`

C

`1+(i)/(3)`

D

`1-(i)/(3)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2013

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

  • QUESTION PAPER 2015

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

The value of absz^2+abs(z-3)^2+abs(z-i)^2 is minimum when z equals

The least value of |z-3-4i|^(2)+|z+2-7i|^(2)+|z-5+2i|^(2) occurs when z=

The minimum value of |z-1|+|z-3| is

Find the minimum value of the expression E= |z|^2+ |z-3|^2 + |z- 6i|^2 (where z=x+iy, x,y in R )

If |z_1|=|z_2|=|z_3|=1 then value of |z_1-z_3|^2+|z_3-z_1|^2+|z_1-z_2|^2 cannot exceed

Find the minimum value of |z-1| if ||z-3|-|z+1||=2.

z=i^5 then the value of (z+z^2+z^3+z^4)

Given that x ,y ,z are positive real such that x y z=32. If the minimum value of x^2+4x y+4y^2+2z^2 is equal m , then the value of m//16 is.

Let z_(1)=2+3iandz_(2)=3+4i be two points on the complex plane . Then the set of complex number z satisfying |z-z_(1)|^(2)+|z-z_(2)|^(2)=|z_(1)-z_(2)|^(2) represents -

If 'z, lies on the circle |z-2i|=2sqrt2 , then the value of arg((z-2)/(z+2)) is the equal to

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2014-MULTIPLE CHOICE QUESTIONS
  1. The number of solution(s) of the equation sqrt(x+1)-sqrt(x-1)=sqrt(4x...

    Text Solution

    |

  2. The value of |z|^(2)+|z-3|^(2)+|z-i|^(2) is minimum when z equals -

    Text Solution

    |

  3. If f(x)={(2x^(2)+1",", x le1),(4x^(3)-1",",x gt 1):}, then int(0)^(2)f...

    Text Solution

    |

  4. If lim(x to 0) (2a sin x-sin2x)/(tan^(3)x) exists and is equal to 1, ...

    Text Solution

    |

  5. The solution of the equation log(101)log(7)(sqrt(x+7)+sqrt(x))=0 is ...

    Text Solution

    |

  6. The integrating factor of the differential equation (1+x^(2))(dy...

    Text Solution

    |

  7. If sqrt(y)=cos^(-1)x, then it satisfies the differential equation (1-x...

    Text Solution

    |

  8. The number of digits in 20^(301) (given log(10)2=0.3010) is

    Text Solution

    |

  9. The area of the region bounded by the curves y=x^(2) and x=y^(2) is-

    Text Solution

    |

  10. Let RR be the set of all real numbers and f : R to R be gi...

    Text Solution

    |

  11. The value of "tan"(pi)/(5) +2"tan"(2pi)/(5)+4"cot"(4pi)/(5) is

    Text Solution

    |

  12. Let f(x) be a differentiable function in [2,7]. If f(2)=3 and f'(x)le5...

    Text Solution

    |

  13. If set A contains p elements and set B contains q elements then their ...

    Text Solution

    |

  14. In a Delta ABC , tan A and tanB are the roots of pq(x^(2)+1) =r^(2)x....

    Text Solution

    |

  15. If y=4x+3 is parallel to a tangent to the parabola y^(2)=12x, then ...

    Text Solution

    |

  16. Let the equation of an ellipse be (x^(2))/(144)+(y^(2))/(25)=1. Then ...

    Text Solution

    |

  17. The straight lines x+y=0, 5x+y=4 and x+5y=4 form

    Text Solution

    |

  18. If sin^(-1)((x)/(13))+"cosec"^(-1)((13)/(12)) =(pi)/(2), then the valu...

    Text Solution

    |

  19. The values of lambda for which the curve (7x+5)^(2)+(7y+3)^(2)=lambda^...

    Text Solution

    |

  20. Let f(x)=x+1//2. Then the number of real values of x for which the t...

    Text Solution

    |