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Bunuel
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A circle with center (1, 0) and radius 2 lies in the coordinate plane 13 Sep 2018, 02:29
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53% (01:56) correct 47% (01:45) wrong based on 153 sessions

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A circle with center (1, 0) and radius 2 lies in the coordinate plane shown above. If points (a, b) and (x, y) lie on the circle does b = y?

(1) x = –1
(2) y = 0


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Shobhit7
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A circle with center (1, 0) and radius 2 lies in the coordinate plane 13 Sep 2018, 02:39
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Ans D

(a,b)= (3,0)

(x,y) lies on the circle.

Q: Is y=b=0?

St.1: x=-1.
Coordinates of only point on circle with x=-1 is (-1,0)
So, y=b=0. Sufficient.

St.2: y=0. We are given that b=0. Hence, y=b=0. Sufficient.
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A circle with center (1, 0) and radius 2 lies in the coordinate plane 06 Oct 2019, 00:07
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Can we get (a,b) =(3,0) directly from the picture above?
I know the circle intercept with X axis in point (-1,0) and (3.0).
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A circle with center (1, 0) and radius 2 lies in the coordinate plane Updated on: 26 Jan 2021, 10:52
Originally posted by MPRS22 on 25 Jan 2021, 10:05.
Last edited by MPRS22 on 26 Jan 2021, 10:52, edited 4 times in total.
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I believe the answer should be E. The question doesn't suggest that a and b equal 0. Remember that in data sufficiency we shouldn't assume anything that is not told. For instance, a could be slightly less than 3, making b more than 0


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A circle with center (1, 0) and radius 2 lies in the coordinate plane 25 Jan 2021, 18:12
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I reckon it should be E as said the data above didn't mention that (a,b) is (3,0), just mentioned saying that it lies on the circle.
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A circle with center (1, 0) and radius 2 lies in the coordinate plane 26 Jan 2021, 23:58
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Bunuel

A circle with center (1, 0) and radius 2 lies in the coordinate plane shown above. If points (a, b) and (x, y) lie on the circle does b = y?

(1) x = –1
(2) y = 0


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The diagram shows that (a, b) is the bit dot on the circle. It lies on the x axis so it must be (3, 0).
Hence answer will be (D).

An actual GMAT question might make it even clearer by mentioning that the point is as shown in the figure, but even without it, there is no doubt.
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A circle with center (1, 0) and radius 2 lies in the coordinate plane 27 Jan 2021, 05:26
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I think the question should clearly state that (a,b) is on the X axis.
Because we are usually told that we cannot make assumption based on figure only.
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