Question

Solve it step by step guyss...​
I ll mark as brainliest if the answer is helpfull...

Answer 1

Step-by-step explanation:

pls refer to attachment

Answer 2

Step-by-step explanation:

(i)a+2b+2ai=4+6i

(a+2b-4)+i(2a-6)=0

compare real & img part

a+2b-4=0

a+2b=4........(1)

2a-6=0

a=3

(1)3+2b=4

b=1/2

(ii)(a-b)+(a+b)i=a+5i

a-b-a+ai+bi-5i=0

-b+i(a+b-5)=0

compare real & img part

b=0

a+b-5=0

a=5

(iii)(a+b)(2+i)=b+1+(10+2a)i

2a+ai+2b+bi-b-1-10i-2ai=0

(2a+b-1)+i(-a+b-10)=0

compare

2a+b-1=0

2a+b=1.......(1)

-a+b-10=0

b=a+10.......(2)

(1)2a+a+10=1

a=3

(2)b=3+10

=13

(iv)abi=3a-b+12i

(3a-b)+i(-ab+12)=0

compare real & img

3a-b=0

b=3a........(1l

-ab+12=0

-a(3a)+12=0

-3a²=-12

a=2

(1)b=6

(v)1/a+ib=3-2i

(3a+2b-1)+i(-2a+3b)=0

compare

3a+2b-1=0

3a=1-2b.......(1)

-2a+3b=0

a=3b/2........(2)

(1)3.3b/2=1-2b

9b=2-4b

b=2/13

(2)a=3.(2/13)/2

=3/13

(vi)(a+ib)(1+i)=2+i

a+ai+bi-b=2+i

(a-b-2)+i(a+b-1)=0

compare

a-b-2=0

a=b+2........(1)

a+b-1=0

b+2+b-1=0

b=-1/2

(1)a=-1/2+2

=3/2

thankyou