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The value of arg [(1-i√3)/(1+i√3)] is
- a)600
- b)1200
- c)2100
- d)2400
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The value of arg [(1-i√3)/(1+i√3)] isa)600b)1200c)2100d)24...
To find the argument of a complex number, we use the formula:
arg(z) = tan^-1 (Im(z) / Re(z))
where z = a + bi, and Im(z) and Re(z) are the imaginary and real parts of z, respectively.
In this case, we have:
z = 1 - i√3
Im(z) = -√3 (since the imaginary part is -√3)
Re(z) = 1 (since the real part is 1)
Therefore, we can calculate the argument as:
arg(z) = tan^-1 (-√3 / 1) = tan^-1 (-√3)
Using a calculator, we find that:
arg(z) ≈ -60°
Therefore, the value of arg(1 - i√3) is approximately -60 degrees.
arg(z) = tan^-1 (Im(z) / Re(z))
where z = a + bi, and Im(z) and Re(z) are the imaginary and real parts of z, respectively.
In this case, we have:
z = 1 - i√3
Im(z) = -√3 (since the imaginary part is -√3)
Re(z) = 1 (since the real part is 1)
Therefore, we can calculate the argument as:
arg(z) = tan^-1 (-√3 / 1) = tan^-1 (-√3)
Using a calculator, we find that:
arg(z) ≈ -60°
Therefore, the value of arg(1 - i√3) is approximately -60 degrees.
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The value of arg [(1-i√3)/(1+i√3)] isa)600b)1200c)2100d)2400Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The value of arg [(1-i√3)/(1+i√3)] isa)600b)1200c)2100d)2400Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The value of arg [(1-i√3)/(1+i√3)] isa)600b)1200c)2100d)2400Correct answer is option 'D'. Can you explain this answer?.
The value of arg [(1-i√3)/(1+i√3)] isa)600b)1200c)2100d)2400Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The value of arg [(1-i√3)/(1+i√3)] isa)600b)1200c)2100d)2400Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The value of arg [(1-i√3)/(1+i√3)] isa)600b)1200c)2100d)2400Correct answer is option 'D'. Can you explain this answer?.
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