Q62.Let z ∈C with Im(z) = 10 and it satisfies 22 z+nz−n = 2i −1 for some natural number n. Then (1) n = 20 and Re(z) = 10 (2) n = 40 and Re(z) = 10 (3) n = 20 and Re(z) = −10 (4) n = 40 and Re(z) = −10
What This Question Tests
This question tests the ability to solve an equation involving complex numbers by substituting z = x + iy, performing complex division, and then equating the real and imaginary parts to solve for the unknown real part of z and the natural number n.
Concepts Tested
Formulas Used
z = x + iy
(a+ib)/(c+id) = (ac+bd)/(c²+d²) + i(bc-ad)/(c²+d²)
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📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Properties and operations with complex numbers
- Year
- 2019
- Shift
- 12 Apr Shift 2
- Q Number
- Q62
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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