Home
Class 12
MATHS
If z = x + iy is a complex number such t...

If z = x + iy is a complex number such that |z + 2| = |z - 2|, then the locus of z is

A

real axis

B

imaginary axis

C

ellipse

D

circle

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER - 19 (UNSOLVED)

    FULL MARKS|Exercise PART - II (II. Answer any seven questions. Questions No. 30 is compulsory.)|9 Videos

  • SAMPLE PAPER - 19 (UNSOLVED)

    FULL MARKS|Exercise PART - III (III. Answer any seven questions. Questions No. 40 is compulsory.)|10 Videos

  • SAMPLE PAPER - 18 (UNSOLVED)

    FULL MARKS|Exercise PART - IV (IV. Answer all the questions.)|13 Videos

  • SAMPLE PAPER - 2

    FULL MARKS|Exercise PART -IV (Answer the questions)|11 Videos

Similar Questions

Explore conceptually related problems

If |z-1|=2 then the locus of z is

If z = x + iy is a complex number such that |(z-4i)/(z+ 4i)| = 1 show that the locus of z is real axis.

If z is a complex number such that Re (z) = Im(z), then

If z is a complex number such that Re(z)=Im(z) , then

If z is a complex number such that z+|z|=8+ 12i , then the value of |z^2| is equal to

If z is any complex number such that |3z-2|+|3z+2|=4 , then identify the locus of zdot

If |z-z_(1)|=|z-z_(2)| then the locus of z is :

If z is a complex number such taht z^2=( barz)^2, then find the location of z on the Argand plane.

If z = + iy is complex number such that Im ((2z + 1)/(iz + 1)) = 0, show that the locus of z is 2x^(2) + 2y^(2) + x - 2y = 0.

If z is non zero complex number, such that 2i z^(2) = bar(z), then |z| is