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AP EAMCET201822 Apr 2018Morning ShiftMathematicsComplex NumberActual

If 13 e^ i ^ -1 5 12 =a+i b , then the ordered pair ( a , b )=

Options

  1. A(12,5)
  2. B(5,12)
  3. C(24,10)
  4. D(10,24)

Correct answer

A. (12,5)

Step-by-step solution

We have, gathered 13 e^ i ⁻¹ 5 12 =a+i b 13 [ ( ⁻¹ 5 12 )+i ( ⁻¹ 5 12 ) ]=a+i b gathered array rlrl & 13 [ ( ⁻¹ 12 13 )+i ( ⁻¹ 5 13 ) ]=a+i b & & 13 [ 12 13 +i 5 13 ] & =a+i b & & 12+5 i & =a+i b & & a & =12, b=5 & & (a, b) & =(12,5) array

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