Question

V.
Find the value
3
5
2
b)
a)
--
1o ܕ
016
1
NI
4 5
2.
9​

Answer 1

Answer:

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Step-by-step explanation:

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Class 11

>>Applied Mathematics

>>Number theory

>>Complex Numbers

>>Simplify ( 1/1 - 2i + 3/1 + i ) ( 3 +

Question

Bookmark

Simplify (

1−2i

1

+

1+i

3

)(

2−4i

3+4i

)

Medium

Solution

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Correct option is C)

Simplifying, we get

(

1+i−2i+2

1+i+3−6i

)(

2−4i

3+4i

)

(

3−i

4−5i

)(

2−4i

3+4i

)

Hence

3−i

4−5i

.

2−4i

3+4i

=

6−12i−2i−4

12+16i−15i+20

=

2−14i

32+i

=

200

(32+i)(2+14i)

=

200

64+448i+2i−14

=

200

50+450i

=

4

1+9i

.