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If the line segment shown above is a diameter of a
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30 Aug 2023, 04:16
30 Aug 2023, 04:16
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27% (02:38) correct
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If the line segment shown above is a diameter of a circle, then at how many different points does the circle intersect at the coordinate axis ?
A. 1
B. 2
C. 3
D. 4
E. None of the above.
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Re: If the line segment shown above is a diameter of a
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10 Sep 2023, 08:52
10 Sep 2023, 08:52
1
The diameter is between (-1, -2) and (3, -2). This means the diameter is 4, so the radius is 2. This highest point of the circle that would potentially intersect with the coordinate axis, is the radius that is straight up at 90 degrees from the diameter.
The middle of (-1, -2) and (3, -2) is the center at (1, -2). Since the radius is 2, the highest point of the circle would be (1,0). This touches the axis at one point. Since every other point to the left of this highest point is lower than than (1,0), the circle touches the y-axis 2 more times.
From here, the answer is C (3 times).
The middle of (-1, -2) and (3, -2) is the center at (1, -2). Since the radius is 2, the highest point of the circle would be (1,0). This touches the axis at one point. Since every other point to the left of this highest point is lower than than (1,0), the circle touches the y-axis 2 more times.
From here, the answer is C (3 times).
gmatclubot
Re: If the line segment shown above is a diameter of a [#permalink]
10 Sep 2023, 08:52
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