Your JEE Main Mock Drill for This Chapter
This is a 27-question practice quiz in the JEE Main pattern, spanning the topics the official NTA syllabus draws from this chapter: powers of , algebra of complex numbers, modulus and conjugate, the Argand plane and loci, polar form and argument, quadratic equations with complex roots, and cube roots of unity.
These questions are modelled on the JEE Main pattern and difficulty; they are practice questions in the exam style, not reproductions of specific past papers.
The mix mirrors a real paper: roughly a quarter direct formula questions you should finish in under a minute, half standard two-step problems, and a quarter multi-step or trap questions of the kind that separate 99 percentilers.
[JEE Tip] Attempt all 27 in a single 60-minute sitting before reading any explanation. Then read every explanation, including for questions you got right — several carry standard results (the -cycle in blocks of four, the parallelogram law, the max-min of on a circle, the substitutions) worth quoting directly on exam day.
Score Yourself Like the Exam
Use JEE Main marking: +4 for a correct answer, −1 for a wrong one, 0 for skipped. Maximum score 108.
| Score | Reading |
|---|---|
| 88+ | Excellent — this chapter is exam-ready; carry the momentum into Linear Inequalities |
| 64-87 | Solid — revisit the explanations of your errors, re-attempt those in 3 days |
| 40-63 | Concepts in place but speed needs work — redo Section 5 solved examples with a timer |
| Below 40 | Rebuild from Sections 2-4 (algebra, modulus-conjugate, Argand plane) before re-attempting |
Key Point: A skipped question costs 0 but a wrong guess costs −1 AND a wasted minute. No plan in 30 seconds → mark for review and move on.