If z is a complex number satisfying R e z + I m z = 4 , then z cannot be

Question: Answered & Verified by Expert

z

is a complex number satisfying

|R e (z)| + |I m (z)| = 4,

then

|z|

cannot be

MathematicsComplex NumberJEE Main

Options:

Solution:

1288 Upvotes Verified Answer

The correct answer is:

\sqrt{7}

z = x + i y

|x| + |y| = 4

Minimum value of

|z| = 2 \sqrt{2}

Maximum value of

|z| = 4

So,

|z|

can’t be

\sqrt{7}

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