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COMEDK2024MathematicsComplex Number

The argument of 4+3 i 4-3 i is

Options

  1. A⁻¹ ( 7 24 )
  2. B- ⁻¹ ( 7 24 )
  3. C⁻¹ ( 24 7 )
  4. D⁻¹ ( -24 7 )

Correct answer

C. ⁻¹ ( 24 7 )

Step-by-step solution

We have, 4+3 i 4-3 i Multiply and divide above equation by ' 4+3 i aligned 4+3 i 4-3 i & 4+3 i 4+3 i = 16+12 i+12 i+9 i^2 16-9 i^2 & = 16+24 i-9 16+9 [ i^2=-1 ] & = 7 25 + 24 25 i aligned Argument of complex number is ⁻¹ ( 24 25 7 25 ) [ (x+i y)= ⁻¹ ( y x ) ] = ⁻¹ ( 24 7 )

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