Q62.If Z1 ≠0 and Z2 be two complex numbers such that Z2 is a purely imaginary number, then 2Z1+3Z2 is equal Z1 2Z1−3Z2 to: (1) 2 (2) 5 (3) 3 (4) 1
What This Question Tests
This question tests the understanding of properties of purely imaginary numbers, complex conjugates, and modulus operations, requiring careful manipulation of complex expressions.
Concepts Tested
Formulas Used
If z is purely imaginary, z = -z̅
|z/w| = |z|/|w|
|z| = |z̅|
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Properties of complex numbers
- Year
- 2013
- Shift
- 09 Apr Online
- Q Number
- Q62
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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