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ExamsJEE AdvancedGeneral

7 Let z be a complex number satisfying | z | 3 + 2z 2 + z 4 – 8 = 0, where z denotes the complex conjugate of z . Let the imaginary part of z be non - zero. 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:

  1. (P)   ( 1 ) ; (Q)   ( 3 ) ; (R)   ( 5 ) ; (S)   ( 4 )
  2. (P)   ( 2 ) ; (Q)   ( 1 ) ; (R)   ( 3 ) ; (S)   ( 5 )
  3. (P)   (2) ; (Q)   ( 4 ) ; (R)   ( 5 ) ; (S)   ( 1 )
  4. (P)   ( 2 ) ; (Q)   ( 3 ) ; (R)   ( 5 ) ; (S)   ( 4 )

Correct answer: (P)   ( 2 ) ; (Q)   ( 1 ) ; (R)   ( 3 ) ; (S)   ( 5 )

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