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COMEDK2017MathematicsComplex Number

The modulus of [1- +i ]⁻¹ is

Options

  1. A1 2 cosec 2
  2. Bcosec 2
  3. C1 2 | cosec 2 |
  4. D| cosec 2 |

Correct answer

C. 1 2 | cosec 2 |

Step-by-step solution

aligned & | 1 1- +i |= 1 |1- +i | &= 1 (1- )²+ ² = 1 2-2 &= 1 2| ( / 2)| = 1 2 | cosec 2 | aligned

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