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# A circle with center (1, 0) and radius 2 lies in the coordinate plane

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Math Expert
Joined: 02 Sep 2009
Posts: 59712
A circle with center (1, 0) and radius 2 lies in the coordinate plane  [#permalink]

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13 Sep 2018, 02:29
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Difficulty:

75% (hard)

Question Stats:

52% (02:05) correct 48% (01:43) wrong based on 67 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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image018.jpg [ 2.99 KiB | Viewed 757 times ]

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Manager
Joined: 01 Feb 2017
Posts: 248
A circle with center (1, 0) and radius 2 lies in the coordinate plane  [#permalink]

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13 Sep 2018, 02:39
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.
Intern
Joined: 05 Mar 2018
Posts: 22
A circle with center (1, 0) and radius 2 lies in the coordinate plane  [#permalink]

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06 Oct 2019, 00:07
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).
A circle with center (1, 0) and radius 2 lies in the coordinate plane   [#permalink] 06 Oct 2019, 00:07
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