Home
Class 12
MATHS
If abs(z-3)=min{abs(z-1),abs(z-5)}, then...

If `abs(z-3)=min{abs(z-1),abs(z-5)}`, then Re(z) is equal to

A

2

B

2.5

C

3.5

D

4

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|12 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos
  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

Similar Questions

Explore conceptually related problems

If |z-3|=min{|z-1|,|z-5|} , then Re(z) equals to

If |z-3| = "min" {|z-1|,|z-5|} , then Re(z) equals to

Suppose z is a complex number such that z ne -1, |z| = 1 and arg(z) = theta . Let w = (z(1-bar(z)))/(bar(z)(1+z)) , then Re(w) is equal to

Suppose z is a complex number such that z ne -1, |z| = 1, and arg(z) = theta . Let omega = (z(1-bar(z)))/(bar(z)(1+z)) , then Re (omega) is equal to

If z is a complex number which simultaneously satisfies the equations 3abs(z-12)=5abs(z-8i) " and " abs(z-4) =abs(z-8) , where i=sqrt(-1) , then Im(z) can be

If z satisfies abs(z-1)+abs(z+1)=2 , then locus of z is

If abs(z-2-i)=abs(z)abs(sin(pi/4-arg"z")) , where i=sqrt(-1) , then locus of z, is

If conjugate of a complex number z is (2+5i)/(4-3i) , then |Re(z) + Im(z)| is equal to ____________

Given that abs(z+i)=abs(z-i)=abs(z-1) and z=x+iy find number of pairs (x,y)