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Does the point (1/7) lie on the circle shown?​

Does the point (1/7) lie on the circle shown?​-example-1
User Alikonda
by
7.4k points

1 Answer

6 votes

Answer:

The answer to your question is: The second option is correct.

Explanation:

Data

Center (-2, 0)

Point (-2, 4)

Second point = (1, √7)

Formula

d = √(x2 - x1)² + (y2 - y1)²

Radius

d = √(-2 +2)² + (4 - 0)²

d = √ 0² + 4²

d = √ 16

d = 4

Distance from center to (1, √7)

d = √(1 + 2)² + (√7 - 0)²

d = √ 3³ + √7²

d = √ 9 + 7

d = √ 16

d = 4

Both distances measure the same, so (1, √7) lies on the circle

User Jeff Ober
by
8.2k points

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