Question

Questions on complex numbers: 1. If (x +iy) (2 – 31)=4-1, find x and y​

Answer 1

Step-by-step explanation:

(x+iy)(2−3i)=4+i

2x−(3x)i+(2y)i−3yi2=4+i

Real2x+3y+Imaginary(2y−3x)i=4+i

Comparing the real & imaginary parts,

2x+3y=4--------------------------(1)

2y−3x=1----------------------------(2)

Solving eq(1)  &  eq(2),

4x+6y=8

−9x+6y=3

13x=5⇒x=135

y=1314

∴(x,y)=(135,1314)

Answer 2

Answer:

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If (x+iy)(2−3i)=4+i then (x, y) =

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Solution

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Correct option is

C

(

13

5

,

13

14

)

(x+iy)(2−3i)=4+i

2x−(3x)i+(2y)i−3yi

2

=4+i

Real

2x+3y

+

Imaginary

(2y−3x)

i=4+i

Comparing the real & imaginary parts,

2x+3y=4--------------------------(1)

2y−3x=1----------------------------(2)

Solving eq(1) & eq(2),

4x+6y=8

−9x+6y=3

13x=5⇒x=

13

5

y=

13

14

∴(x,y)=(

13

5

,

13

14

)

hope it is helpful to you mark as brainlest please