Q62.If z −4z = 2, then the maximum value of |z| is equal to (1) √3 + 1 (2) √5 + 1 (3) 2 (4) 2 + √2
What This Question Tests
This question requires algebraic manipulation of the given complex number equation and then applying the triangle inequality (or related modulus properties) to find the maximum possible value of |z|.
Concepts Tested
Formulas Used
|z1 + z2| <= |z1| + |z2|
|z1 - z2| >= ||z1| - |z2||
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📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Modulus of a complex number
- Year
- 2009
- Shift
- Unknown
- Q Number
- Q62
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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