Which of the following are correct? I. A number in the form of x+i y, where x, y ∈ R, is a complex number. II. If z=x+i y and x=0, then complex number is purely imaginary. III. If z=x+i y and y=0, then complex number is purely real.

Question

Which of the following are correct? I. A number in the form of x+i y, where x, y ∈ R, is a complex number. II. If z=x+i y and x=0, then complex number is purely imaginary. III. If z=x+i y and y=0, then complex number is purely real. (A) I and II are correct (B) I, II and III are correct (C) II and III are correct (D) None of the above

Tardigrade Admin · Accepted Answer

If z=x+i y is a complex number and if x=0, then z=i y, which is purely imaginary and if y=0, then z=x which is purely real.

Q. Which of the following are correct?
I. A number in the form of $x + i y$ , where $x, y \in R$ , is a complex number.
II. If $z = x + i y$ and $x = 0$ , then complex number is purely imaginary.
III. If $z = x + i y$ and $y = 0$ , then complex number is purely real.

I and II are correct

I, II and III are correct

II and III are correct

None of the above

If $z = x + i y$ is a complex number and if $x = 0$ , then $z = i y$ , which is purely imaginary and if $y = 0$ , then $z = x$ which is purely real.

Q. Which of the following are correct? I. A number in the form of x+iy, where x,y∈R, is a complex number. II. If z=x+iy and x=0, then complex number is purely imaginary. III. If z=x+iy and y=0, then complex number is purely real.