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Arg. (x) , x ∈ R and x < 0 is
- a)3π/2
- b)0
- c)π
- d)π/2
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Arg. (x) , x∈R and x<0 isa)3π/2b)0c)πd)π/2Cor...
Arg(x) = Arg (x + 0i)
Since x < 0, x lies alongside the negative X – axis.
tan(θ) = 0 and the point lies on negative X – axis
So, θ = π
Since x < 0, x lies alongside the negative X – axis.
tan(θ) = 0 and the point lies on negative X – axis
So, θ = π
Most Upvoted Answer
Arg. (x) , x∈R and x<0 isa)3π/2b)0c)πd)π/2Cor...
Understanding Arg(x) for x < />
When dealing with the argument (Arg) of a complex number, we need to understand how it is defined, especially when x is negative.
Definition of Arg(x)
- The argument of a complex number z = x + yi, denoted as Arg(z), is the angle θ formed with the positive x-axis.
- For real numbers, Arg(x) is defined in terms of their position on the complex plane.
Case for x < />
- When x is negative, the point (x, 0) lies on the negative side of the x-axis.
- The angle formed with the positive x-axis is measured counterclockwise.
Calculating Arg(x) for x < />
- For x < 0,="" the="" argument="" arg(x)="" corresponds="" to="" the="" angle="" directly="" on="" the="" negative="" x-axis.="" -="" this="" angle="" is="" equivalent="" to="" π="" radians="" (or="" 180="" degrees).="" />Conclusion: Why the correct answer is π
- Therefore, if x is a negative real number, the Arg(x) = π.
- Thus, the correct option is c) π.
This reasoning confirms the choice as the angle corresponding to negative real numbers in the complex plane is indeed π.
When dealing with the argument (Arg) of a complex number, we need to understand how it is defined, especially when x is negative.
Definition of Arg(x)
- The argument of a complex number z = x + yi, denoted as Arg(z), is the angle θ formed with the positive x-axis.
- For real numbers, Arg(x) is defined in terms of their position on the complex plane.
Case for x < />
- When x is negative, the point (x, 0) lies on the negative side of the x-axis.
- The angle formed with the positive x-axis is measured counterclockwise.
Calculating Arg(x) for x < />
- For x < 0,="" the="" argument="" arg(x)="" corresponds="" to="" the="" angle="" directly="" on="" the="" negative="" x-axis.="" -="" this="" angle="" is="" equivalent="" to="" π="" radians="" (or="" 180="" degrees).="" />Conclusion: Why the correct answer is π
- Therefore, if x is a negative real number, the Arg(x) = π.
- Thus, the correct option is c) π.
This reasoning confirms the choice as the angle corresponding to negative real numbers in the complex plane is indeed π.
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Question Description
Arg. (x) , x∈R and x<0 isa)3π/2b)0c)πd)π/2Correct answer is option 'C'. 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 Arg. (x) , x∈R and x<0 isa)3π/2b)0c)πd)π/2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Arg. (x) , x∈R and x<0 isa)3π/2b)0c)πd)π/2Correct answer is option 'C'. Can you explain this answer?.
Arg. (x) , x∈R and x<0 isa)3π/2b)0c)πd)π/2Correct answer is option 'C'. 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 Arg. (x) , x∈R and x<0 isa)3π/2b)0c)πd)π/2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Arg. (x) , x∈R and x<0 isa)3π/2b)0c)πd)π/2Correct answer is option 'C'. Can you explain this answer?.
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