Q63.Let ๐ง1 and ๐ง2 be two complex numbers such that ยฏ๐ง1 = ๐ยฏ๐ง2 and arg = ๐, then the argument of ๐ง1 is ยฏ๐ง2 (1) arg ๐ง2 = ฯ (2) arg ๐ง2 = - 3ฯ 4 4 ฯ 3ฯ (3) arg ๐ง1 = 4 (4) arg ๐ง1 = - 4
What This Question Tests
This question requires applying the properties of complex conjugates and arguments, particularly for ratios of complex numbers and the argument of the imaginary unit 'i'.
Concepts Tested
Formulas Used
arg(z_bar) = -arg(z)
arg(z1/z2) = arg(z1) - arg(z2)
arg(i) = ฯ/2
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๐ Question Details
- Chapter
- Complex Numbers
- Topic
- Argument of complex numbers
- Year
- 2022
- Shift
- 25 Jun Shift 2
- Q Number
- Q63
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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