Question

The question below has two statements, I and Impark your answer as
IF z = x + iy, where i = (-1), then
I. z = 0, when x = 0, $y\neq20$
II. If a + bi = c + di, then a = c, b = d

• A. Statement I is True, but not the other one.
• B. Statement II is True, but not the other one.
• C. Both the statements are True.
• D. Neither of the statements is True.

Answer 1

Answer: (B)

Statement II is True, but not the other one.

Answer 2

It is given in the question that z = $x$ + $iy$ , where $i$ = (-1)
If $x = 0$, then $z = iy$
From the above equation, we say that the first statement is not true.
II : $I fa + bi = c +di,$ then $a = c,b = d$
In the above case, If the equation contains both real and imaginary numbers, then the real numbers are equal, and the coefficient of imaginary numbers are also equal.
The correct option is (B)