Q62.Let z be a complex number such that the real part of z−2i is zero. Then, the maximum value of |z −(6 + 8i)| z+2i is equal to (1) 12 (2) 10 (3) 8 (4) ∞
What This Question Tests
This question involves finding the locus of complex numbers based on a given condition and then maximizing a ratio of distances, which reduces to a geometric problem on the imaginary axis.
Concepts Tested
Formulas Used
z = x + iy
|z| = sqrt(x² + y²)
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📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Geometric interpretation of complex numbers
- Year
- 2024
- Shift
- 09 Apr Shift 2
- Q Number
- Q62
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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