Solve it step by step guyss...
I ll mark as brainliest if the answer is helpfull...
Answers
Step-by-step explanation:
pls refer to attachment
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