JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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1 of 1

Analyzing +4 | -1

Let

z

and

w

be two complex numbers such that

\left| z \right| \le 1,\left| w \right| \le 1

and

\left| {z + iw} \right| = \left| {z - \overline {iw} } \right| = 2

. Then,

z

is equal to

View answer and explanation

Correct option: C

1 or

- 1

Option C (1 or

- 1

) is correct because by substituting

z = x_1 + iy_1

and

w = x_2 + iy_2

into the given equations, we find that

z

must be either 1 or

- 1

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