Home
Class 12
MATHS
Let z1 in C,|z1-3|=1/2,z2 in C, |z2+|z2-...

Let `z_1 in C,|z_1-3|=1/2,z_2 in C, |z_2+|z_2-1||=|z_2-|z_2+1||`, then least value of `|z_1-z_2|` is:

A

`0`

B

`1/2`

C

`3/2`

D

`5/2`

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

If |z_1|=1, |z_2| = 2, |z_3|=3 and |9z_1 z_2 + 4z_1 z_3+ z_2 z_3|=12 , then the value of |z_1 + z_2+ z_3| is equal to

If z_1ne-z_2 and |z_1+z_2|=|1/z_1 + 1/z_2| then :

If z_1,z_2,z_3 are complex number , such that |z_1|=2, |z_2|=3, |z_3|=4 , the maximum value |z_1-z_2|^(2) + |z_2-z_3|^2 + |z_3-z_1|^2 is :

If |z_1|=1,|z_2|=1 then prove that |z_1+z_2|^2+|z_1-z_2|^2 =4.

Complex number z_1 and z_2 satisfy z+barz=2|z-1| and arg (z_1-z_2) = pi/4 . Then the value of lm (z_1+z_2) is

If |z_1+z_2| = |z_1-z_2| , prove that amp z_1 - amp z_2 = pi/2 .

If z in C , then least value of the expression |z| + |1-z| + |z-2| is

If z_1 = 3i and z_2 = -1 -i , find the value of arg z_1/z_2 .

If z_(1) + z_(2) + z_(3) = 0 and |z_(1)| = |z_(2)| = |z_(3)| = 1 , then value of z_(1)^(2) + z_(2)^(2) + z_(3)^(2) equals

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. If xdy=(sqrt(x^2+y^2)+y)dx and y(1)=0, then y(2) equals:

    Text Solution

    |

  2. If a(n+2)=2/a(n+1)+an,a1=1,a2=2 , and ((a1+1/a2)/a3).((a2+1/a3)/a4)......

    Text Solution

    |

  3. Let z1 in C,|z1-3|=1/2,z2 in C, |z2+|z2-1||=|z2-|z2+1||, then least va...

    Text Solution

    |

  4. If A=[[0,1,0],[1,0,0],[0,0,1]] and B0=2A^(98)+A^(49),Bn=adj(B(n-1)), t...

    Text Solution

    |

  5. Tangent at two points P and Q on parabola y^2=2x-3 meet at R(0,1) , th...

    Text Solution

    |

  6. Let hyperbola H : x^2-y^2=1 and ellipse E : x^2/a^2+y^2/b^2=1 and ecce...

    Text Solution

    |

  7. A(cos t , sin t), B(sin t ,-cos t) and C(a,b) form an equilateral tria...

    Text Solution

    |

  8. A password is to be made of 6 to 8 digits from either of the sets A,B,...

    Text Solution

    |

  9. The solution of differential equation sin^2(2x) dy/dx+(8sin^2(2x)+4 si...

    Text Solution

    |

  10. Let f(x)=(5x^2)/2 +alpha/x^5, (x gt 0) and minimum value of f(x) is 14...

    Text Solution

    |

  11. If (p^(**)q) odot (p odot ~q) is tautology then ordered pair (odot ,^(...

    Text Solution

    |

  12. Let x^2+y^2-x+2y=11/4 is a circle with RQ and centre C. If P is any po...

    Text Solution

    |

  13. Let A relation R on number defined by xRy hArr 3x+alpha y is multiple ...

    Text Solution

    |

  14. The value of 15 int0^sqrt3 (xdx)/(sqrt(1+x^2+sqrt((1+x^2)^3))) is equa...

    Text Solution

    |

  15. If P(B//A)=5/7 , P(A//B)=7/9 and P(AnnB)=1/9 given S1 equiv P(A' uu B)...

    Text Solution

    |

  16. Absolute maximum value of f(x)=tan^(-1)(sinx-cosx) is

    Text Solution

    |

  17. A class have B boys and G girls , 3 boys and 2 girls selected at rando...

    Text Solution

    |

  18. The number of distinct real values of lamda for which (x-1)/1=(y-2)/2=...

    Text Solution

    |

  19. If tangent drawn from (2,0) to the parabola x=-2y^2 are also tangents ...

    Text Solution

    |

  20. Let f(x)=lim(x to oo)(cos 2pi x -x^(2n) sin (x-1))/(1+x^(2n+1)-x^(2n))...

    Text Solution

    |