Home
Class 12
MATHS
If |z-4| lt |z-2|, where z is a complex ...

If `|z-4| lt |z-2|,` where z is a complex number, then its solution is-

A

`Re, z gt 0`

B

`Re. z lt 0`

C

`Re. z gt 3`

D

`Re. z lt 3`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 10|1 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 11|1 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 2|90 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos
  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

If |z+i|-|z-1|=|z|-2=0 for a complex number z, then z =

If one root of the equation z^2-a z+a-1= 0 is (1+i), where a is a complex number then find the root.

If z=-i-1 is a complex number,then arg (z) will be

Solve : |z|+z=2+i (z being a complex number)

If z_(1) and z_(2) are two complex numbers, then which of the following is true ?

Number of solutions of the equation z^3+[3(barz)^2]/|z|=0 where z is a complex number is

If |2z-1|=|z-2|a n dz_1, z_2, z_3 are complex numbers such that |z_1-alpha|lt alpha , |z_2-beta|ltbeta, then= |(z_1+z_2)/ (alpha+beta)| a) lt|z| b.

Let |z|=2and w=(z+1)/(z-1),where z ,w , in C (where C is the set of complex numbers). Then product of least and greatest value of modulus of w is__________.

The amplitue of the complex number z = - 2 is

If |(z-z_1)/(z-z_2)|=3,w h e r ez_1a n dz_2 are fixed complex numbers and z is a variable complex number, then z lies on a (a).circle with z_1 as its interior point (b).circle with z_2 as its interior point (c).circle with z_1 as its exterior point (d).circle with z_2 as its exterior point

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 4
  1. If ""(n)C(r) denotes the number of combinations of n different things ...

    Text Solution

    |

  2. If n is a natural number then (12 ^(n) + 25 ^(n-1)) is divisible by-

    Text Solution

    |

  3. If |z-4| lt |z-2|, where z is a complex number, then its solution is-

    Text Solution

    |

  4. The sum to n terms of the series [1. (1!)+2. (2!)+ 3.(3!)+…] is-

    Text Solution

    |

  5. If the progressions 3,10,17 ,24… and 63,65, 67, 69… are such that thei...

    Text Solution

    |

  6. The porbability that in a family of 5 members, exactly 2 members have ...

    Text Solution

    |

  7. If the coefficients of the middle terms in the binomial expresion in p...

    Text Solution

    |

  8. If x is real and (x+5)/(x-2)le0, state which of the following is true-

    Text Solution

    |

  9. In three dimensional space, x=0 represents the equation of-

    Text Solution

    |

  10. The area of the triangle formed by the striaght lines y=0,x+y =0 and x...

    Text Solution

    |

  11. The equation of the directirix of the parabola x ^(2) -4x -8y +12=0 is...

    Text Solution

    |

  12. If PM is the peraendicular from P(2,3) upon the line x+y=3 then the co...

    Text Solution

    |

  13. The equation of the circel whose diameter is the common chord of the c...

    Text Solution

    |

  14. If the origin is transferred to the point (-3,2) keeping the axes para...

    Text Solution

    |

  15. The curve a ^(2)y^(2)=b^(2)(a^(2) -x^(2)) is symmetrical about-

    Text Solution

    |

  16. The number of interger values of m, for which the x coordinate of the ...

    Text Solution

    |

  17. The coordinates of the points of trisection of the line-segment joinin...

    Text Solution

    |

  18. What is the equation to the locus of the centre of a circel of radius ...

    Text Solution

    |

  19. The figure formed by joining the points (-4, 5) ,(3,7) and ((3)/(5) ,(...

    Text Solution

    |

  20. The equation of the circel with centre (2,1) and touchig the line 3x+4...

    Text Solution

    |