Q62.If ๐ง is a complex number such that ๐งโค1, then the minimum value of ๐ง+ 1 + 4๐ is: 23 5 (1) 2 (2) 2 3 (3) (4) 3 2
What This Question Tests
This question uses the geometric interpretation of complex numbers and the triangle inequality to find the minimum value of a complex expression, given a constraint on the modulus of 'z'.
Concepts Tested
Formulas Used
[z1 + z2] >= |[z1] - [z2]|
|z - z0| = r (circle equation)
๐ NCERT Sections This Tests
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5.23 Give the oxidation state, d orbital occupation and coordination number of the central metal ion in the following complexes: (i) K3[Co(C2O4)3] (iii) (NH4)2[CoF4] (ii) cis-[CrCl2(en)2]Cl (iv) [Mn(H2O)6]SO4
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๐ Question Details
- Chapter
- Complex Numbers
- Topic
- Modulus of Complex Numbers
- Year
- 2024
- Shift
- 01 Feb Shift 2
- Q Number
- Q62
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
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