Home
Class 12
MATHS
If z is a complex number such taht z^2=(...

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

A

z is purely real

B

z is purely imaginary

C

either z is purely real or purely imaginary

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    DISHA PUBLICATION|Exercise Exercise-1: Concept Builder (Topic -2)|10 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    DISHA PUBLICATION|Exercise Exercise-1: Concept Builder (Topic -3)|19 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

  • CHAPTERWISE NUMERIC INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER 27|15 Videos

  • CONIC SECTIONS

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

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

Find the complex number z such that z^2+|z|=0

Find the complex number z such that z^(2)+|z|=0

If |z+3i|+|z-i|=8 , then the locus of z, in the Argand plane, is

Consider the region S of complex numbers a such that |z^(2) - az + 1|=1 , where |z|=1 . Then area of S in the Argand plane is

Find the locus of a complex number z=x+ iy satisfying the relation |2z+3i|<=|2z+5|. Illustrate the locus in Argand plane.

If z is a complex number satisfying the equation |z+i|+|z-i|=8, on the complex plane thenmaximum value of |z| is

For complex numbers z_1 = 6+3i, z_2=3-I find (z_1)/(z_2)

Show that complex numbers z_1=-1+5i and z_2=-3+2i on the argand plane.