Question

1.2 Algebra of Complex Numbers :
1.2.1 Equality of two Complex Numbers:
Definition : Two complex numbers z, - atib
and z, = c + id are said to be equal if their
corresponding real and imaginary parts are
equal.
i.e. a + ib = c + id
if a = c and b=d​

Answer 1

Answer:

The given two complex numbers are z11 = 5 + 2yi and z22 = -x + 6i.

We know that, two complex numbers z11 = a + ib and z22 = x + iy are equal if a = x and b = y.

z11 = z22

⇒ 5 + 2yi = -x + 6i

⇒ 5 = -x and 2y = 6

⇒ x = -5 and y = 3

Therefore, the value of x = -5 and the value of y = 3.