The number of complex numbers z, satisfying |z| = 1 and |z/2 + 2/z| = 1, is:

Complex Numbers and Quadratic Equations: JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q239

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

The number of complex numbers

z

, satisfying

|z| = 1

and

\left|\frac{z}{2} + \frac{2}{z}\right| = 1

, is:

JEE Main 2025 · January, Unspecified (session-level dataset) · Q239

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

The number of complex numbers

z

, satisfying

|z| = 1

and

\left|\frac{z}{2} + \frac{2}{z}\right| = 1

, is: