Home
Class 11
MATHS
The minimum value of |z-1|+|z-3| is...

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

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|9 Videos
  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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 all complex numbers z_(1),z_(2) satisfying |z_(1)|=12 and |z_(2) -3-4i|=5, then minimum value of |z_(1)-z_(2)| is-

If abs(z-2-2i)=1 , then the minimum value of absz is

Let Z_(1) and Z_(2) be two complex numbers satisfying |Z_(1)|=9 and |Z_(2)-3-4i|=4 . Then the minimum value of |Z_(1)-Z_(2)| is

For all complex niumbers z_1, z_2 satisfying absz_1=12 and abs(z_2-3-4i)=5 , the minimum value of abs(z_1-z_2) is

CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. Find int 1/((1-x^2)sqrt(1+x^2))dx

    Text Solution

    |

  2. If a >0, then least value of (a^3+a^2+a+1)^2 is (a)64 a^2 (b)16 a^4 ...

    Text Solution

    |

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

    Text Solution

    |

  4. If a ,b ,c ,d in R^+ such that a+b+c=18 , then the maximum value of a...

    Text Solution

    |

  5. If x ,y and z are positive real umbers and x=(12-yz)/(y+z) . The maxi...

    Text Solution

    |

  6. Let x^2-3x+p=0 has two positive roots aa n db , then minimum value if ...

    Text Solution

    |

  7. If a ,b ,c in R^+ , then the minimum value of a(b^2+c^2)+b(c^2+a^2)+...

    Text Solution

    |

  8. If a ,b ,c ,d in R^+and a ,b ,c,d are in H.P., then (a)a+d > b+c (...

    Text Solution

    |

  9. The minimum value of P=b c x+c a y+a b z , when x y z=a b c , is a. 3...

    Text Solution

    |

  10. If l ,m ,n are the three positive roots of the equation x^3-a x^2+b x-...

    Text Solution

    |

  11. If positive numbers a ,b ,c are in H.P., then equation x^2-k x+2b^(10...

    Text Solution

    |

  12. For x^2-(a+3)|x|+4=0 to have real solutions, the range of a is a. (-oo...

    Text Solution

    |

  13. If a ,b ,c are the sides of a triangle, then the minimum value of a/(...

    Text Solution

    |

  14. If a ,b ,c ,d in R^+-{1}, then the minimum value of (log)d a+(log)b ...

    Text Solution

    |

  15. If a ,b ,c in R^+, t h e n(b c)/(b+c)+(a c)/(a+c)+(a b)/(a+b) is alw...

    Text Solution

    |

  16. If a ,b ,c in R^+t h e n(a+b+c)(1/a+1/b+1/c) is always (a)geq12 (b...

    Text Solution

    |

  17. The first term of an arithmetic progression is 1 and the sum of the fi...

    Text Solution

    |

  18. Let a, b , c be positive integers such that b/a is an integer. if a, b...

    Text Solution

    |

  19. Suppose that all the terms of an arithmetic progression (A.P.) are nat...

    Text Solution

    |

  20. If the sides of a right-angled triangle are in A.P., then the sines of...

    Text Solution

    |