Q62.Let z = 5 5 + . If R(z) and I(z) respectively denote the real and imaginary parts of z, ( √32 + 2i ) ( √32 −i2 ) then (1) I(z) = 0 (2) R(z) < 0 and I(z) > 0 (3) R(z) > 0 and I(z) > 0 (4) R(z) = −3
What This Question Tests
This question tests the ability to simplify a complex number expression by multiplying its denominator by its conjugate and then identifying the real and imaginary parts of the simplified complex number.
Concepts Tested
Formulas Used
(a+bi)(a-bi) = a² + b²
i² = -1
📚 NCERT Sections This Tests
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5.28 How many ions are produced from the complex Co(NH3)6Cl2 in solution? (i) 6 (ii) 4 (iii) 3 (iv) 2 139 Coordination Compounds Reprint 2025-26
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5.24 Write down the IUPAC name for each of the following complexes and indicate the oxidation state, electronic configuration and coordination number. Also give stereochemistry and magnetic moment of the complex: (i) K[Cr(H2O)2(C2O4)2].3H2O (iii) [CrCl3(py)3] (v) K4[Mn(CN)6] (ii) [Co(NH3)5Cl-]Cl2 (iv) Cs[FeCl4]
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📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Operations on complex numbers
- Year
- 2019
- Shift
- 10 Jan Shift 2
- Q Number
- Q62
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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