• Skip to main content
  • Skip to secondary menu
  • Skip to primary sidebar
  • Skip to footer
  • RBSE Model Papers
    • RBSE Class 12th Board Model Papers 2022
    • RBSE Class 10th Board Model Papers 2022
    • RBSE Class 8th Board Model Papers 2022
    • RBSE Class 5th Board Model Papers 2022
  • RBSE Books
  • RBSE Solutions for Class 10
    • RBSE Solutions for Class 10 Maths
    • RBSE Solutions for Class 10 Science
    • RBSE Solutions for Class 10 Social Science
    • RBSE Solutions for Class 10 English First Flight & Footprints without Feet
    • RBSE Solutions for Class 10 Hindi
    • RBSE Solutions for Class 10 Sanskrit
    • RBSE Solutions for Class 10 Rajasthan Adhyayan
    • RBSE Solutions for Class 10 Physical Education
  • RBSE Solutions for Class 9
    • RBSE Solutions for Class 9 Maths
    • RBSE Solutions for Class 9 Science
    • RBSE Solutions for Class 9 Social Science
    • RBSE Solutions for Class 9 English
    • RBSE Solutions for Class 9 Hindi
    • RBSE Solutions for Class 9 Sanskrit
    • RBSE Solutions for Class 9 Rajasthan Adhyayan
    • RBSE Solutions for Class 9 Physical Education
    • RBSE Solutions for Class 9 Information Technology
  • RBSE Solutions for Class 8
    • RBSE Solutions for Class 8 Maths
    • RBSE Solutions for Class 8 Science
    • RBSE Solutions for Class 8 Social Science
    • RBSE Solutions for Class 8 English
    • RBSE Solutions for Class 8 Hindi
    • RBSE Solutions for Class 8 Sanskrit
    • RBSE Solutions

RBSE Solutions

Rajasthan Board Textbook Solutions for Class 5, 6, 7, 8, 9, 10, 11 and 12

  • RBSE Solutions for Class 7
    • RBSE Solutions for Class 7 Maths
    • RBSE Solutions for Class 7 Science
    • RBSE Solutions for Class 7 Social Science
    • RBSE Solutions for Class 7 English
    • RBSE Solutions for Class 7 Hindi
    • RBSE Solutions for Class 7 Sanskrit
  • RBSE Solutions for Class 6
    • RBSE Solutions for Class 6 Maths
    • RBSE Solutions for Class 6 Science
    • RBSE Solutions for Class 6 Social Science
    • RBSE Solutions for Class 6 English
    • RBSE Solutions for Class 6 Hindi
    • RBSE Solutions for Class 6 Sanskrit
  • RBSE Solutions for Class 5
    • RBSE Solutions for Class 5 Maths
    • RBSE Solutions for Class 5 Environmental Studies
    • RBSE Solutions for Class 5 English
    • RBSE Solutions for Class 5 Hindi
  • RBSE Solutions Class 12
    • RBSE Solutions for Class 12 Maths
    • RBSE Solutions for Class 12 Physics
    • RBSE Solutions for Class 12 Chemistry
    • RBSE Solutions for Class 12 Biology
    • RBSE Solutions for Class 12 English
    • RBSE Solutions for Class 12 Hindi
    • RBSE Solutions for Class 12 Sanskrit
  • RBSE Class 11

RBSE Solutions for Class 11 Maths Chapter 5 सम्मिश्र संख्याएँ Ex 5.2

June 10, 2019 by Prasanna Leave a Comment

   

Rajasthan Board RBSE Class 11 Maths Chapter 5 सम्मिश्र संख्याएँ Ex 5.2

प्रश्न 1.
निम्न सम्मिश्र संख्याओं के कोणांक ज्ञात कीजिए
RBSE Solutions for Class 11 Maths Chapter 5 सम्मिश्र संख्याएँ Ex 5.2
हल-
(i) \(\frac { 1+i }{ 1-i }\)
अंश तथा हर में (1 – i) के संयुग्मी से गुणा करने पर
RBSE Solutions for Class 11 Maths Chapter 5 सम्मिश्र संख्याएँ Ex 5.2
RBSE Solutions for Class 11 Maths Chapter 5 सम्मिश्र संख्याएँ Ex 5.2

(ii) – 1 + √3i
यहाँ पर स्पष्ट है a < 0, b > 0 (द्वितीय चतुर्थांश)
तब कोणांक
RBSE Solutions for Class 11 Maths Chapter 5 सम्मिश्र संख्याएँ Ex 5.2

(iii) \(\frac { 5+i\sqrt { 3 } }{ 4-i2\sqrt { 3 } } \)
अंश तथा हर में 4 – 2i√3 के संयुग्मी 4 + 2i√3 से गुणा करने पर
RBSE Solutions for Class 11 Maths Chapter 5 सम्मिश्र संख्याएँ Ex 5.2

प्रश्न 2.
निम्न सम्मिश्र संख्याओं को ध्रुवीय रूप में व्यक्त कीजिए
RBSE Solutions for Class 11 Maths Chapter 5 सम्मिश्र संख्याएँ Ex 5.2
हल-
(i) माना
RBSE Solutions for Class 11 Maths Chapter 5 सम्मिश्र संख्याएँ Ex 5.2
वास्तविक तथा काल्पनिक भाग अलग-अलग करने पर
\(\frac { 1 }{ 2 }\) = r cos θ ….(1)
RBSE Solutions for Class 11 Maths Chapter 5 सम्मिश्र संख्याएँ Ex 5.2

(ii)
RBSE Solutions for Class 11 Maths Chapter 5 सम्मिश्र संख्याएँ Ex 5.2
RBSE Solutions for Class 11 Maths Chapter 5 सम्मिश्र संख्याएँ Ex 5.2

(iii)
RBSE Solutions for Class 11 Maths Chapter 5 सम्मिश्र संख्याएँ Ex 5.2
RBSE Solutions for Class 11 Maths Chapter 5 सम्मिश्र संख्याएँ Ex 5.2

प्रश्न 3.
यदि z1 तथा z2 दो अशून्य सम्मिश्र संख्याएँ हों, तो सिद्ध कीजिए कि
RBSE Solutions for Class 11 Maths Chapter 5 सम्मिश्र संख्याएँ Ex 5.2
हल-
माना कि z1 = r1 (cos θ1, + i sin θ1)
तथा z2 = r2 (cos θ2 + i sin θ2)
कोणांक z1 = θ1 तथा कोणांक z2 = θ2,
RBSE Solutions for Class 11 Maths Chapter 5 सम्मिश्र संख्याएँ Ex 5.2

RBSE Solutions for Class 11 Maths

Share this:

  • Click to share on WhatsApp (Opens in new window)
  • Click to share on Twitter (Opens in new window)
  • Click to share on Facebook (Opens in new window)

Related

Filed Under: Class 11 Tagged With: RBSE Solutions for Class 11 Maths Chapter 5 सम्मिश्र संख्याएँ

Reader Interactions

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Primary Sidebar

Recent Posts

  • RBSE Solutions for Class 7 Our Rajasthan in Hindi Medium & English Medium
  • RBSE Solutions for Class 6 Our Rajasthan in Hindi Medium & English Medium
  • RBSE Solutions for Class 7 Maths Chapter 15 Comparison of Quantities In Text Exercise
  • RBSE Solutions for Class 6 Maths Chapter 6 Decimal Numbers Additional Questions
  • RBSE Solutions for Class 11 Psychology in Hindi Medium & English Medium
  • RBSE Solutions for Class 11 Geography in Hindi Medium & English Medium
  • RBSE Solutions for Class 3 Hindi
  • RBSE Solutions for Class 3 English Let’s Learn English
  • RBSE Solutions for Class 3 EVS पर्यावरण अध्ययन अपना परिवेश in Hindi Medium & English Medium
  • RBSE Solutions for Class 3 Maths in Hindi Medium & English Medium
  • RBSE Solutions for Class 3 in Hindi Medium & English Medium

Footer

RBSE Solutions for Class 12
RBSE Solutions for Class 11
RBSE Solutions for Class 10
RBSE Solutions for Class 9
RBSE Solutions for Class 8
RBSE Solutions for Class 7
RBSE Solutions for Class 6
RBSE Solutions for Class 5
RBSE Solutions for Class 12 Maths
RBSE Solutions for Class 11 Maths
RBSE Solutions for Class 10 Maths
RBSE Solutions for Class 9 Maths
RBSE Solutions for Class 8 Maths
RBSE Solutions for Class 7 Maths
RBSE Solutions for Class 6 Maths
RBSE Solutions for Class 5 Maths
RBSE Class 11 Political Science Notes
RBSE Class 11 Geography Notes
RBSE Class 11 History Notes

Copyright © 2023 RBSE Solutions

 

Loading Comments...