Q62.If z1, z2 and z3, z4 are 2 pairs of complex conjugate numbers, then arg ( z1z4 ) ( z2z3 ) equals: (1) 0 (2) π 2 (3) 3π (4) π 2 JEE Main 2014 (11 Apr Online) JEE Main Previous Year Paper
What This Question Tests
The question requires interpreting the phrasing 'pairs of complex conjugate numbers' to deduce that z1 and z4 are conjugates, and z2 and z3 are conjugates, leading to the argument of a positive real number.
Concepts Tested
Formulas Used
z̅ = |z|²
arg(z/w) = arg(z) - arg(w)
arg(z * z̅) = arg(|z|²) = 0
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📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Argument of complex numbers
- Year
- 2014
- Shift
- 11 Apr Online
- Q Number
- Q62
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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