Q62.Let a complex number z, |z| ≠1, satisfy log 1 |z|+11 ≤2 . Then, the largest value of |z| is equal to √2 ( (|z|−1)2 ) _________. (1) 8 (2) 7 (3) 6 (4) 5
What This Question Tests
This question tests the ability to solve a logarithmic inequality where the base is less than 1, involving the modulus of a complex number, and then find the maximum value of the modulus.
Concepts Tested
Formulas Used
log_b(x) <= y => x >= b^y (if 0 < b < 1)
|z| = r >= 0
Quadratic inequalities
📚 NCERT Sections This Tests
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1.27 If the solubility product of CuS is 6 × 10–16, calculate the maximum molarity of CuS in aqueous solution.
5.28 — How Many Ions Are Produced From The Complex Co(Nh3)6Cl2 In Solution?
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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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Physics Class 12 · Chapter 14
14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
📋 Question Details
- Chapter
- Complex Numbers
- Topic
- Logarithmic inequalities involving modulus
- Year
- 2021
- Shift
- 16 Mar Shift 1
- Q Number
- Q62
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations; Class 11 Mathematics Ch 6: Linear Inequalities
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