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AP EAMCET20225 Jul 2022Morning ShiftMathematicsComplex NumberActual

The values of x for which x+i 2 x and x-i 2 x are conjugate to each other are

Options

  1. Ax=n 6
  2. BNone
  3. Cx=n 3
  4. Dx= (n+ 1 2 )

Correct answer

B. None

Step-by-step solution

Conjugate of x-i 2 x is x+i 2 x So, x+i 2 x= x+i 2 x Comparing real and imaginary parts, x= x or x=1 and 2 x= 2 x or 2 x=1 But for same value of x , both x and 2 x can not. Hence, no solution is possible.

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