Home
Class 11
MATHS
Minimum value of| z1- z2| as z1& z2 ove...

Minimum value of| z1- z2| as z1& z2 over the curves √3

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos
  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

The minimum value of |2z-1|+|3z-2| is

Let z_1,z_2 and z_3 be three distinct complex numbers , satisfying |z_1|=|z_2|=|z_3|=1 find maximum value of| z1 - z2 |^2 + |z2-z3|^2 + |z3-z1|^2

Minimum value of |z_1 + 1 | + |z_2 + 1 | + |z _1 z _2 + 1 | if [ z_1 | = 1 and |z_2 | = 1 is ________.

If z_1 and z_2 lies on |z|=9 and |z-3-4i|=4 respectively, find minimum possible value of |z_1 -z_2| (A) 0 (B) 5 (C) 13 (D) 2

If i^(2)=-1 , then for a complex number Z the minimum value of |Z|+|Z-3|+|Z+i|+|Z-3-2i| occurs at

Let z_1, z_2 , z_3 in C such that |z_1 | = |z_2| = |z_3| = |z_1+ z_2+ z _3| = 4 . If |z_1 - z _2 | = | z _1 + z _ 3 | and z_2 ne z_3 , then values of |z_1 + z_2 |* |z_1 + z _ 3| is _____.

if the complex no z_1 , z_2 and z_3 represents the vertices of an equilateral triangle such that |z_1| = | z_2| = | z_3| then relation among z_1 , z_2 and z_3

if the complex no z_1 , z_2 and z_3 represents the vertices of an equilateral triangle such that |z_1| = | z_2| = | z_3| then relation among z_1 , z_2 and z_3

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

6.The minimum value of |z-1|+|z-2|+|z-3|+|z-4|+|z-5| is

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If |z-3|=min{|z-1|,|z-5|}, then Re(z) equals to

    Text Solution

    |

  2. For the following question, choose the correct answer from the codes ...

    Text Solution

    |

  3. Minimum value of| z1- z2| as z1& z2 over the curves √3

    Text Solution

    |

  4. All the values of m for whilch both the roots of the equation x^2-2m x...

    Text Solution

    |

  5. If p=a+bomega+comega^2, q=b+comega+aomega^2, and r=c+aomega+bomega^2,...

    Text Solution

    |

  6. If the roots of the quadratic equation (4p-p^2-5)x^2-(2p-1)x+3p=0 lie ...

    Text Solution

    |

  7. If z1=5+12 i and |z2|=4,t h e n

    Text Solution

    |

  8. If roots of x^2-(a-3)x+a=0 are such that at least one of them is great...

    Text Solution

    |

  9. If |z-1|-1,t h e n a r g((z-1-i)//z) can be equal to pi//4 (z-2)//z ...

    Text Solution

    |

  10. Let f(x)=a x^2+bx +c a ,b ,c in R. If f(x) takes real values for re...

    Text Solution

    |

  11. Write a linear equation representing a line which is parallel to y-axi...

    Text Solution

    |

  12. If both roots of the equation a x^2+x+c-a=0 are imaginary and c > -1, ...

    Text Solution

    |

  13. If |z|=1 and w=(z-1)/(z+1) (where z!=-1), then R e(w) is 0 (b) 1/(|...

    Text Solution

    |

  14. The set of all possible real values of a such that the inequality (x-(...

    Text Solution

    |

  15. Column I, Column II (Locus) parallelogram, p. z1-z4=z2-z3 rectang...

    Text Solution

    |

  16. The interval of a for which the equation t a n^2x-(a-4)tanx+4-2a=0 has...

    Text Solution

    |

  17. The range of a for which the equation x^2+ax-4=0 has its smaller root ...

    Text Solution

    |

  18. Let z and omega be two complex numbers such that |z|lt=1,|omega|lt=1 ...

    Text Solution

    |

  19. Consider the equation x^2+2x-n=0 where n in N and n in [5,100] The t...

    Text Solution

    |

  20. If n1, n2 are positive integers, then (1 + i)^(n1) + ( 1 + i^3)^(n1) +...

    Text Solution

    |