Home
Class 12
MATHS
The points representing the complex numb...

The points representing the complex numbers z for which `|z+4|^2-|z-4|^2 = 8` lie on

A

a straight line parallel to x-axis

B

a straight line parallel to y-axis

C

a circle with centre as origin

D

a circle with centre other than the origin

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise EXERCISE -II|126 Videos

  • CIRCLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|164 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise (Level-2)|38 Videos

Similar Questions

Explore conceptually related problems

The locus of the point representing the complex number z for which |z+3|^2-|z-3|^2=15 is

The locus of the point representing the complex number z for which |z+3|^2-|z-3|^2=15 is

The complex number z satisfying z^(2) + |z| = 0 is

If a complex number |z ^2-1|=|z|^2+1 , then z lies on :

If the complex number z lies on |z| = 1 then (2)/(z) lies on

If z = x + iy is a complex numbers z for which |z +i//2|^(2) = |z - i//2|^(2) then the locus of z is

If (z_(3)-z_(1))/(z_(2)-z_(1)) is a real number, show that the points represented by the complex numbers z_(1),z_(2),z_(3) are collinear.

The locus of the point z in the argrand plane for which |z+1|^2+|z-1|^2=4 is a

In the Argand Diagram , all the complex numbers z satisfying |z - 4i| + |z+ 4i| = 10 lie on a

In the Argand Diagrams , all the complex number z satisfying |z-4i|+|z+4i|=0 lie on a