1 A 1 B 1 C 1 D 1 E 1 F 1 G 1 H 1 I 1 J 1 K 1 L 2 A 2 B 2 C 2 D 3 A 3 B 3 C 3 D 3 E 3 F 4 A 4 B 4 C 4 D 5 6 7 8 9 10 11 12 13 14 15 16 A 16 B 16 C 16 D 16 E 17 18 19 20 21 22 23 24 25 26

RD Sharma - Mathematics

13. Complex Numbers

1. Sets
2. Relations
3. Functions
4. Measurement of Angles
5. Trigonometric Functions
6. Graphs of Trigonometric Functions
7. Values of Trigonometric Functions at Sum of Difference of Angles
8. Transformation Formulae
9. Values of Trigonometric Functions at Multiples and Submultiple of an Angles
10. Sine and Cosine Formulae and their Applications
11. Trigonometric Equations
12. Mathematical Induction
13. Complex Numbers
14. Quadratic Equations
15. Linear Inequations
16. Permutations
17. Combinations
18. Binomial Theorem
19. Arithmetic Progressions
20. Geometric Progressions
21. Some Special Series
22. Brief Review of Cartesian System of Rectangular Co-ordinates
23. The Straight Lines
24. The Circle
25. Parabola
26. Ellipse
27. Hyperbola
28. Introduction to 3-D Coordinate Geometry
29. Limits
30. Derivatives
31. Mathematical Reasoning
32. Statistics
33. Probability

Exercise 13.1

1 2 3 A 3 B 3 C 3 D 3 E 3 F 3 G

Exercise 13.2

1 A 1 B 1 C 1 D 1 E 1 F 1 G 1 H 1 I 1 J 1 K 1 L 2 A 2 B 2 C 2 D 3 A 3 B 3 C 3 D 3 E 3 F 4 A 4 B 4 C 4 D 5 6 7 8 9 10 11 12 13 14 15 16 A 16 B 16 C 16 D 16 E 17 18 19 20 21 22 23 24 25 26

Exercise 13.3

1 A 1 B 1 C 1 D 1 E 1 F 1 G 1 H 1 I

Exercise 13.4

1 A 1 B 1 C 1 D 1 E 1 F 1 G 1 H 2 3 A 3 B 3 C 3 D 4 5 6

Very Short Answer

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24

MCQ

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43

Q. 4 D4.9( 8 Votes )

Find the multipli

Class 11th RD Sharma - Mathematics 13. Complex Numbers

Answer :

Given complex number is Z=+3i

We know that the multiplicative inverse of a complex number Z is .

⇒

Multiplying and dividing with -3i

⇒

⇒

⇒

We know that i²=-1

⇒

⇒

∴ The Multiplicative inverse of +3i is .

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

PREVIOUSFind the multipli NEXTIf z1

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

caricature

view all courses

RELATED QUESTIONS :

Find the real valRS Aggarwal - Mathematics

Solve the equatioRD Sharma - Mathematics

If |z + 1| = z + RD Sharma - Mathematics

Find the conjugatRD Sharma - Mathematics

Find principal arMathematics - Exemplar

Find the real valRS Aggarwal - Mathematics

Find the conjugatRS Aggarwal - Mathematics

Express each of tRS Aggarwal - Mathematics

If z = <imgRS Aggarwal - Mathematics

Express each of tRS Aggarwal - Mathematics