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Sagot :
Answer:
The correct answer is D!!!
Step-by-step explanation:
I used the Desmos Polar graph and got the correct answer!!!
A point C reflected about polar-axis has coordinates [tex](5,-\frac{7\pi}{6} )[/tex]
What is polar coordinate system?
- "It is a two-dimensional coordinate system in which points are given by an angle and a distance from a central point. "
- "A point are given as [tex](r,\theta)[/tex], where r is the distance of the point from the pole, and [tex]\theta[/tex] is the measure of the angle."
For given question,
We have been given four points.
[tex]A=(5,\frac{\pi}{6} ), B=(5,\frac{5\pi}{6} ),C=(5,\frac{7\pi}{6} ),D=(5,\frac{11\pi}{6} )[/tex]
If we plot the above points on the polar coordinate plane then it would be as shown below.
We need to find the point having coordinates [tex](5,-\frac{7\pi}{6} )[/tex]
If we reflect a point [tex]C(5,\frac{7\pi}{6} )[/tex] about polar-axis then the coordinates of the reflected point would be [tex](5,-\frac{7\pi}{6} )[/tex]
Therefore, point C reflected about polar-axis has coordinates [tex](5,-\frac{7\pi}{6} )[/tex]
Learn more about polar coordinate system here:
https://brainly.com/question/11657509
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