Q61.Let the complex number ๐ง= ๐ฅ+ ๐๐ฆ be such that is purely imaginary. If ๐ฅ+ ๐ฆ2 = 0, then ๐ฆ4 + ๐ฆ2 - ๐ฆ is 2๐ง+ ๐ equal to (1) 2 (2) 3 3 2 3 4 (3) (4) 4 3
What This Question Tests
This question involves using the property of a purely imaginary complex number (z = -zฬ) to form an equation and then solving for the real and imaginary parts (x and y) to find the desired expression.
Concepts Tested
Formulas Used
If z is purely imaginary, then z = -zฬ
z = x + iy
๐ NCERT Sections This Tests
5.23 โ Give The Oxidation State, D Orbital Occupation And Coordination Number Of
Chemistry Class 11 ยท Chapter 5
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
5.24 โ Write Down The Iupac Name For Each Of The Following Complexes And Indicate
Chemistry Class 11 ยท Chapter 5
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]
5.28 โ How Many Ions Are Produced From The Complex Co(Nh3)6Cl2 In Solution?
Chemistry Class 11 ยท Chapter 5
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
๐ Question Details
- Chapter
- Complex Numbers
- Topic
- Properties of Complex Numbers
- Year
- 2023
- Shift
- 10 Apr Shift 1
- Q Number
- Q61
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 5: Complex Numbers and Quadratic Equations
More from this Chapter
Q84.If |z + 4| โค3 , then the maximum value of |z + 1| is (1) 4 (2) 10 (3) 6 (4) 0
Q73.The conjugate of a complex number is 1 . Then the complex number is iโ1 (1) โ1 (2) 1 iโ1 i+1 (3) โ1 (4) 1 i+1 iโ1
Q62.If z โ4z = 2, then the maximum value of |z| is equal to (1) โ3 + 1 (2) โ5 + 1 (3) 2 (4) 2 + โ2
Q61.If ฮฑ and ฮฒ are the roots of the equation x2 โx + 1 = 0, then ฮฑ2009 + ฮฒ2009 = (1) โ1 (2) 1 (3) 2 (4) โ2