Example 6 (i) - Chapter 5 Class 11 Complex Numbers (Term 1)
Last updated at Aug. 27, 2021 by Teachoo
Examples
Example 1
Example 2 (i)
Example 2 (ii) Important
Example 3
Example 4
Example 5 Important
Example 6 (i) You are here
Example 6 (ii) Important
Example 7 Deleted for CBSE Board 2022 Exams
Example 8 Important Deleted for CBSE Board 2022 Exams
Example 9
Example 10
Example 11 Important
Example 12
Example 13 (i) Important Deleted for CBSE Board 2022 Exams
Example 13 (ii) Deleted for CBSE Board 2022 Exams
Example 14 Important
Example 15
Example 16 Important Deleted for CBSE Board 2022 Exams
Chapter 5 Class 11 Complex Numbers (Term 1)
Serial order wise
- Ex 5.1
- Ex 5.2
- Ex 5.3
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Examples
- Miscellaneous
Transcript
Example 6 Express the following in the form a + ib (5 + 2 i )/(1 2 i) (5 + 2 )/(1 2 ) Rationalizing = (( 5 + 2 ) )/((1 2 ) ) ((1 + 2 ))/((1 + 2 ) ) = (( 5 + 2 ) (1 + 2 ))/((1 2 ) (1 + 2 ) ) = ( ( 5 + 2 ) ( 1 + 2 ))/(( 1 )2 ( 2 )2) = ( ( 5 + 2 ) ( 1 + 2 ) )/(1 2 2) = ( 5 1 + 5 2 + 2 1 + 2 2 )/(1 2 2) = ( 5 + 5 2 + 2 + 2 2)/(1 2 2) Putting i 2 = 1 = ( 5 + 5 2 + 2 + 2 ( 1 ))/(1 2 ( 1 )) = ( 5 + 5 2 + 2 2)/(1 + 2) = ( 5 2 +5 2 + 2 )/3 = ( 3 + 6 2 )/3 = ( 3 ( 1+2 2 ))/3 = 1 + 2 2
