Match the statements in Column I with those in Column II: (Note: Here, z takes the values in the complex plane and Im z and Rez denote, respectively, the imaginary part and the real part of z.) Column I Column II (A) The set of points z satisfying |z - i| z || = |z + i| z || 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 iscontainedin or equal to (Q) the set of points z satisfying Im z = 0. (C) If |ω| = 2, then the set of points z = ω - 1/ω is contained in or equal to (R) the set of points z satisfying Imz ≤ 1. (D) If |ω| =1, then the set of points z = ω + 1/ω is contained in or equal to (S) the set of points zsatisfying |Re z| ≤ 1. (T) the set of points zsatisfying |z| ≤ 3. [JEE Adv 2010 P2]

Correct Answer is : (A)→(Q); (B)→(P); (C)→(P) (T); (D)→(Q), (T)

(A)→(Q); (B)→(P); (C)→(P) (T); (D)→(Q), (T)

(A)→(Q); (B)→(Q); (C)→(P) (T); (D)→(Q), (S)

(A)→(P); (B)→(P); (C)→(P) (T); (D)→(Q), (T)

(A)→(R); (B)→(P); (C)→(R) (T); (D)→(Q), (T)

Complex Numbers

Section: Mathematics

Question : 29 of 36

Marks: +1, -0

Match the statements in Column I with those in Column II:
(Note: Here, z takes the values in the complex plane and Im z and Rez denote, respectively, the imaginary part and the real part of z.)

Column I	Column II
(A) The set of points z satisfying \|z - i\| z \|\| = \|z + i\| z \|\| 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 iscontainedin or equal to	(Q) the set of points z satisfying Im z = 0.
(C) If \|ω\| = 2, then the set of points z = ω - 1/ω is contained in or equal to	(R) the set of points z satisfying Imz ≤ 1.
(D) If \|ω\| =1, then the set of points z = ω + 1/ω is contained in or equal to	(S) the set of points zsatisfying \|Re z\| ≤ 1.
	(T) the set of points zsatisfying \|z\| ≤ 3.

[JEE Adv 2010 P2]

(A)→(Q); (B)→(P); (C)→(P) (T); (D)→(Q), (T)
(A)→(Q); (B)→(Q); (C)→(P) (T); (D)→(Q), (S)
(A)→(P); (B)→(P); (C)→(P) (T); (D)→(Q), (T)
(A)→(R); (B)→(P); (C)→(R) (T); (D)→(Q), (T)

Validate

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