JEE Main 2021MathematicsComplex NumberMediumMCQ

JEE Main 2021 — Complex Number Question with Solution

JEE Main 2021 (18 Mar Shift 2)

Question

Let a complex number be w=1-3i. Let another complex number z be such that |zw|=1 and argz-argw=π2. Then the area of the triangle (in sq. units) with vertices origin, z and w is equal to

Choose an option

Show full solutionCorrect option: B
Correct answer
B12

Step-by-step explanation

w=1-3i⇒|w|=2

Now, z=1|w|⇒z=12

and ampz=π2+ampw

⇒ Area of triangle =12.OP.OQ

=12·2·12=12 Sq. units

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About this question

This is a previous-year question from JEE Main 2021, covering the Complex Number chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.