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AP EAMCET2007MathematicsComplex Number

If a= 1-i 3 2 , then the correct matching of 'List-I from List-II is List-I List-II (i) a a (A) - 3 (ii) ( 1 a ) (B) -i 3 (iii) a- a (C) 2 i / 3 (iv) Im ( 4 3 a ) (D) 1 (E) / 3 (F) 2 3 correct match is (i) (ii) (iii) (iv)

Options

  1. Aarray llll D & E & C & B array
  2. Barray llll D & A & B & F array
  3. Carray llll F & E & B & C array
  4. Darray llll D & A & B & C array

Correct answer

B. array llll D & A & B & F array

Step-by-step solution

Given, a= 1-i 3 2 = 1 2 - i 3 2 a = 1 2 + i 3 2 (i) aligned a a & = ( 1 2 - i 3 2 ) ( 1 2 + i 3 2 ) & = ( 1 2 )^2-i^2 ( 3 2 )^2 & = 1 4 + 3 4 =1 aligned (ii) ( 1 a )= ⁻¹ ( - 3 2 2 1 )=- 3 (iii) a- a = ( 1 2 - i 3 2 )- ( 1 2 + i 3 2 )=-i 3

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