00:01
We have to check that any complex number is either real or imaginary.
00:06
Any complex number is either real or imaginary.
00:11
We have to check this statement is true or false.
00:15
So, this statement is false because any complex number if we take is of the form z equal to a plus i b where both a and b are the real numbers that is a and b belonging to r.
00:34
Now, if we take here b it is equal to 0.
00:39
If this b is equal to 0, then this z equal to a which implies that z is a real number that is z belongs to r.
00:50
Now, if a equal to 0, if we take here a equal to 0, then it implies z is equal to iota into b that is z belongs to the complex number that is it is a imaginary number we can say.
01:08
But there is one case remaining here when both a and b are non -zero.
01:18
If both are non -zero, then z equal to a plus i b...