Match the statements in Column I with those in Column II

MATHEMATICS · Subjective · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

Match the statements in Column I with those in Column II. **[Note Here,

z

takes values in the complex plane and

\text{Im}(z)

and

\text{Re}(z)

denote respectively, the imaginary part and the real part of

z

.]** [IIT-JEE 2010, 8M]

Column I		Column II
(A)	The set of points $z$ satisfying $z - i z = z + i z$ , where $i = \sqrt{-1}$ , is contained in or equal to	(p)	an ellipse with eccentricity $4/5$
(B)	The set of points $z$ satisfying $z + 4 + z - 4 = 10$ is contained in or equal to	(q)	the set of points $z$ satisfying $\text{Im}(z) = 0$
(C)	If $w = 2$ , the set of points $z = w - \frac{1}{w}$ is contained in or equal to	(r)	the set of points $z$ satisfying $\text{Im}(z) \le 1$
(D)	If $w = 1$ , the set of points $z = w + \frac{1}{w}$ is contained in or equal to	(s)	the set of points $z$ satisfying $\text{Re}(z) \le 2$
		(t)	the set of points $z$ satisfying $z \le 3$