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The points of the complex plane given by the condition arg. (z) = (2n + 1) π, n ∈ I lie on
- a)the imaginary semi axis z = iy , y > 0
- b)the imaginary semi axis z = iy , y < 0
- c)the positive real semi axis z = x , x > 0
- d)the negative real semi axis z = x , x < 0
Correct answer is option 'D'. Can you explain this answer?
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The points of the complex plane given by the condition arg. (z) = (2n ...
The points of the complex plane given by the condition arg(z) = (2n + 1) are all the points that have an argument equal to (2n + 1), where n is an integer.
In the complex plane, the argument of a complex number z is the angle between the positive real axis and the line connecting the origin to z. It is usually measured in radians.
So, for the condition arg(z) = (2n + 1), we can see that the argument is equal to (2n + 1) radians.
This means that the points lie on the lines that make an angle of (2n + 1) radians with the positive real axis. These lines are parallel to each other and pass through the origin.
For example, when n = 0, the argument is (2(0) + 1) = 1 radian. So, the points lie on a line that makes an angle of 1 radian with the positive real axis. Similarly, when n = 1, the argument is (2(1) + 1) = 3 radians, and so on.
Therefore, the points of the complex plane given by the condition arg(z) = (2n + 1) are all the points that lie on the lines making an angle of (2n + 1) radians with the positive real axis.
In the complex plane, the argument of a complex number z is the angle between the positive real axis and the line connecting the origin to z. It is usually measured in radians.
So, for the condition arg(z) = (2n + 1), we can see that the argument is equal to (2n + 1) radians.
This means that the points lie on the lines that make an angle of (2n + 1) radians with the positive real axis. These lines are parallel to each other and pass through the origin.
For example, when n = 0, the argument is (2(0) + 1) = 1 radian. So, the points lie on a line that makes an angle of 1 radian with the positive real axis. Similarly, when n = 1, the argument is (2(1) + 1) = 3 radians, and so on.
Therefore, the points of the complex plane given by the condition arg(z) = (2n + 1) are all the points that lie on the lines making an angle of (2n + 1) radians with the positive real axis.
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The points of the complex plane given by the condition arg. (z) = (2n + 1)π, n∈I lie ona)the imaginary semi axis z = iy , y>0b)the imaginary semi axis z = iy , y<0c)the positive real semi axis z = x , x>0d)the negative real semi axis z = x , x<0Correct answer is option 'D'. Can you explain this answer?
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The points of the complex plane given by the condition arg. (z) = (2n + 1)π, n∈I lie ona)the imaginary semi axis z = iy , y>0b)the imaginary semi axis z = iy , y<0c)the positive real semi axis z = x , x>0d)the negative real semi axis z = x , x<0Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The points of the complex plane given by the condition arg. (z) = (2n + 1)π, n∈I lie ona)the imaginary semi axis z = iy , y>0b)the imaginary semi axis z = iy , y<0c)the positive real semi axis z = x , x>0d)the negative real semi axis z = x , x<0Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The points of the complex plane given by the condition arg. (z) = (2n + 1)π, n∈I lie ona)the imaginary semi axis z = iy , y>0b)the imaginary semi axis z = iy , y<0c)the positive real semi axis z = x , x>0d)the negative real semi axis z = x , x<0Correct answer is option 'D'. Can you explain this answer?.
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