Home
Class 12
MATHS
For any non-zero complex number z, the m...

For any non-zero complex number z, the minimum value of `|z| + |z-1|` is

A

1

B

`(1)/(2)`

C

0

D

`(3)/(2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2018

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos
  • QUESTION PAPER 2021

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTION|75 Videos

Similar Questions

Explore conceptually related problems

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

For any complex number z, show that the minimum value of |z|+|z-1| is 1.

For any complex number z find the minimum value of |z|+|z-2i|

z is a complex number. The minimum value of |z | + I z - 2| is

For any complex number z, show that the minimum value of | z| + | z -1 | is 1.

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

If Z is a non-real complex number, then find the minimum value of | (Imz^5)/(Im^5z) |

If z is a complex number, then find the minimum value of |z|+|z-1|+|2z-3|dot

If z is complex number such that |z|ge2 , minimum value of |z+(1)/(2)| -

Find the non-zero complex number z satisfying z =i z^2dot

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2019-MULTIPLE CHOICE QUESTIONS
  1. The length of conjugate axis of a hyperbola is greater than the length...

    Text Solution

    |

  2. Let f(x) = x^(4) - 4x^(3) + 4x^(2) + c, c in R. Then

    Text Solution

    |

  3. The graphs of the polynomial x^(2)-1 and cos x intersect

    Text Solution

    |

  4. A point is in motion along a hyperbola y = (10)/(x) so that its abscis...

    Text Solution

    |

  5. Let a = min {x^(2) + 2x + 3 : x in R} and b = lim(theta rarr 0)(1-cos...

    Text Solution

    |

  6. Let a gt b gt 0 and I(n) = a^(1//n) - b^(1//n), J(n) = (a-b)^(1//n) fo...

    Text Solution

    |

  7. Let hat(alpha), hat(beta), hat(gamma)be three unit vectors such that h...

    Text Solution

    |

  8. The position vectors of the points A, B, C and D are 3hat(i) - 2hat(j)...

    Text Solution

    |

  9. A particle starts at the origin and moves 1 unit horizontally to the r...

    Text Solution

    |

  10. For any non-zero complex number z, the minimum value of |z| + |z-1| is

    Text Solution

    |

  11. Let A = ((3, 0, 3), (0, 3, 0), (3,0,3)). Then the roots of the equatio...

    Text Solution

    |

  12. If A and B are (-2, -2) and (2, -4) respectively, find the coordinates...

    Text Solution

    |

  13. Equation of a tangent to the hyperbola 5x^(2) - y^(2) = 5 and which pa...

    Text Solution

    |

  14. Let f and g be differentiable on the interval I and let a, b in I, a l...

    Text Solution

    |

  15. Consider the function f(x) = (x^(3))/(4) - sin pi x + 3

    Text Solution

    |

  16. Let I(n) = int(0)^(1) x^(n) tan^(-1) x dx. If a(n) I(n+2) + b(n)I(n) =...

    Text Solution

    |

  17. Two particles A and B move from rest along a straight line with consta...

    Text Solution

    |

  18. The area bounded by y = x + 1 and y = cos x and the x-axis, is

    Text Solution

    |

  19. Let x(1), x(2) be the roots of x^(2) - 3x + a = 0 and x(3), x(4) be th...

    Text Solution

    |

  20. If theta in RR and (1 +i cos theta)/(1-2 i cos theta) is real number,...

    Text Solution

    |