Let z be a complex number satisfying |z|^3+2 z^2+4 \bar{z}-8=0, where \bar{z} denotes the complex conjugate of z. Let the imaginary part of z be nonzero.Match each entry in List-I to the correct entries in List-II. List-I List-II (P) |z|^2 is equal to (1) 12 (Q) |z-\overline{z}|^2 is equal to (2) 4 (R) |z|^2+|z+\overline{z}|^2 is equal to (3) 8 (S) |z+1|^2 is equal to (4) 10 (5) 7 The correct option is [JEE Adv 2023 P1]

Correct Answer is : (P)→(2)(Q)→(1)(R)→ (3) (S) → (5)

(P) \to (1) (Q) \to (3) (R) \to (5) (S) \to (4)

(P) \to(2)(Q) \to(1)(R) \to (3) (S) \to (5)

(P) \to(2)(Q) \to(4)(R) \to(5)(S) \to (1)

(P) \to(2)(Q) \to(3)(R) \to(5)(S) \to (4)

Complex Numbers

Section: Mathematics

Question : 6 of 36

Marks: +1, -0

Let z be a complex number satisfying |z|3+2z2+4‌bar‌z−8=0, where bar‌z denotes the complex conjugate of z. Let the imaginary part of z be nonzero.Match each entry in List-I to the correct entries in List-II.

List-I	List-II
(P) \|z\|2 is equal to	(1) 12
(Q) \|z−z\|2 is equal to	(2) 4
(R) \|z\|2+\|z+z\|2 is equal to	(3) 8
(S) \|z+1\|2 is equal to	(4) 10
	(5) 7

The correct option is

[JEE Adv 2023 P1]

(P) → (1) (Q) → (3) (R) → (5) (S) → (4)
(P)→(2)(Q)→(1)(R)→ (3) (S) → (5)
(P)→(2)(Q)→(4)(R)→(5)(S)→ (1)
(P)→(2)(Q)→(3)(R)→(5)(S)→ (4)

Validate

Go to Question:

Prev Question

Next Question