Mathematics - Complex Number Question with Solution | TestHub

MathematicsComplex NumberGeometric ApplicationMedium2 minPYQ_2020

MathematicsMediumsingle choice

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

Answer:

Solution:

Let $z = x + i y$
i.e. $|x| + |y| = 4$

Using perpendicular distance of line from origin, minimum value of $|z| = 2 \sqrt{2}$
Maximum value of $|z| = 4$
So, $|z|$ can’t be $\sqrt{7}$

Stream:JEESubject:MathematicsTopic:Complex NumberSubtopic:Geometric Application

⏱ 2mℹ️ Source: PYQ_2020

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