Medium MCQ +4 / -1

The polar form of z = -1 + i is:

  1. A √2 (cos(3π/4) + i sin(3π/4)) Correct answer
  2. B √2 (cos(π/4) + i sin(π/4))
  3. C 2 (cos(π/4) + i sin(π/4))
  4. D √2 (cos(π/3) + i sin(π/3))

Solution

|-1+i| = √2. Arg = π - π/4 = 3π/4 (in 2nd quadrant). Polar form: √2(cos 3π/4 + i sin 3π/4).

About this question

Subject: Mathematics · Chapter: Complex Numbers and Quadratic Equations · Topic: Modulus and Argument

This question is part of PrepWiser's free JEE Main question bank. 16 more solved questions on Complex Numbers and Quadratic Equations are available — start with the harder ones if your accuracy is >70%.

Drill 25 more like these. Every day. Free.

PrepWiser turns these solved questions into a daily practice loop. Chapter-wise drills, full mocks, AI doubt chat. No auto-renew.

Start free →