Q. 21 E5.0( 4 Votes )

Find the real values of x and y for which:= (1 – i)

Given:

x + 3i = (1 – i)(2 + iy)

x + 3i = 1(2 + iy) – i(2 + iy)

x + 3i = 2 + iy – 2i – i2y

x + 3i = 2 + i(y – 2) – (-1)y [i2 = -1]

x + 3i = 2 + i(y – 2) + y

x + 3i = (2 + y) + i(y – 2)

Comparing the real parts, we get

x = 2 + y

x – y = 2 …(i)

Comparing the imaginary parts, we get

3 = y – 2

y = 3 + 2

y = 5

Putting the value of y = 5 in eq. (i), we get

x – 5 = 2

x = 2 + 5

x = 7

Hence, the value of x = 7 and y = 5

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Polar & Euler Form of Complex Numbers on Argand Plane32 mins
Interactive Quiz Time - Polar & Euler Form of complex number58 mins
Interactive Quiz on Quadratic EquationsFREE Class
Modulus & Conjugate of Complex Number | Ready for a Quiz?48 mins
Practice session | Argument of complex numbersFREE Class
Questions Based on Polar & Euler Form of Complex Number63 mins
Special Quiz on Argument of complex numbersFREE Class
Polar & Euler Form of Complex Number on Argand Plane58 mins
Interactive Quiz on Quadratic Equations-02FREE Class
Questions on Modulus & Conjugate of Complex Number62 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

Evaluate.

RS Aggarwal - Mathematics

Evaluate

RS Aggarwal - Mathematics

Evaluate:

(i)

(iii) .

RS Aggarwal - Mathematics

RS Aggarwal - Mathematics

RS Aggarwal - Mathematics

If then show that

RD Sharma - Mathematics

RS Aggarwal - Mathematics