Q63.Let S = {z ∈C −{i, 2i} z2−3iz−2 ∈R}. JEE Main 2023 (11 Apr Shift 2) JEE Main Previous Year Paper
What This Question Tests
This question requires determining the locus of complex numbers z such that a given complex expression involving z is purely real, which involves algebraic manipulation and setting the imaginary part to zero.
Concepts Tested
Formulas Used
z ∈ R iff Im(z) = 0
z = x + iy
(a+ib)(c+id) = (ac-bd) + i(ad+bc)
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📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Locus of complex numbers
- Year
- 2023
- Shift
- 11 Apr Shift 2
- Q Number
- Q63
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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