Question

(x+3) + i(y-2) = 5+i2, find the values of x and y.

(a) x=8 and y=4

(b) x=2 and y=4

(c) x=2 and y=0

(d) x=8 and y=0

This question was posed to me in an interview for job.

I'd like to ask this question from Complex Numbers-1 in division Complex Numbers and Quadratic Equations of Mathematics – Class 11

Answer 1

The correct answer is (b) x=2 and y=4

To elaborate: If two complex numbers are equal, then corresponding parts are equal i.e. real parts of both are equal and imaginary parts of both are equal.

x+3 = 5 and y-2 = 2

x = 5-3 and y = 2+2

x=2 and y=4.