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AP EAMCET202316 May 2023Evening ShiftMathematicsComplex NumberActual

If C is a point on the straight line joining the points A (-2+ i ) and B (3-4 i ) in the Argand plane and AC CB = 1 2 , then the argument of C is

Options

  1. A⁻¹ 3
  2. B⁻¹ 2-
  3. C⁻¹ 2
  4. D- ⁻¹ 3

Correct answer

B. ⁻¹ 2-

Step-by-step solution

Given the point A (-2,1), B (3,-4) & AC BC = 1 2 So, C ( 1 3-4 3 , -4+2 3 )= ( -1 3 , -2 3 ) Now, argument of C= ⁻¹ ( -2 3 -1 3 )- = ⁻¹(2)-

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