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Equality of Two Complex Numbers



Note:- Given two complex numbers z1 and z2, we cannot say z1 < z2 or z1 > z2. We can only say that z1 = z2, z1 z2; real part of z1 < real part of z2; im(z1) > im(z2) etc. as the case may be.

Examples:-


Example 4:-
Find the real values of x and y if
Solution:-

Equating the real parts, we get

Equating the imaginary parts, we get

Solving (1) and (2), we get

Example 5:-
Find the real values of a and b.





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