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A circle with the equation (x + 3)2 + (y - 2)2 = 25 is reflected over the line x = 2.

What is the equation of the image?

User Nst
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2 Answers

6 votes

Answer: (x-7)2 + (y-2)2= 25

Explanation:

User KoPytok
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4 votes
Center of the original circle = (-3, 2)
Line x = 2 is a vertical line and a refrection over a vertical line will keep the value of the y-coordinate.
The center of the original circle is five units to the left of the line x = 2 and the center of the image will be five units to the right of the line x = 2.
Hence, the center of the image will be (7, 2)
Therefore, the equation of the image is (x - 7)^2 + (y - 2)^2 = 25

User Roy Cohen
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