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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: 52285
A circle with center (1, 0) and radius 2 lies in the coordinate plane  [#permalink]

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17 Sep 2018, 21:15
00:00

Difficulty:

55% (hard)

Question Stats:

50% (01:00) correct 50% (01:39) wrong based on 25 sessions

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A circle with center (1, 0) and radius 2 lies in the coordinate plane shown above. If point (x, y) lies on the circle is (x, y) in quadrant 3?

(1) |y| > 1
(2) |x| > 1

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Re: A circle with center (1, 0) and radius 2 lies in the coordinate plane  [#permalink]

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18 Sep 2018, 00:59
Bunuel wrote:

A circle with center (1, 0) and radius 2 lies in the coordinate plane shown above. If point (x, y) lies on the circle is (x, y) in quadrant 3?

(1) |y| > 1
(2) |x| > 1

circle with centre (1, 0) and radius 2 will have equation as $$(x-1)^2 + (y-0)^2 = 2^2$$

(1) |y| > 1
i.e. y > 1 or y < -1
@x=0, y=+√3
NOT SUFFICIENT

(2) |x| > 1
i.e. x > 1 or x < -1
x<-1 can't on the circle hence x >1 is the only possibility and then the point can NOT be in 3rd Quadrant hence
SUFFICIENT

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Re: A circle with center (1, 0) and radius 2 lies in the coordinate plane &nbs [#permalink] 18 Sep 2018, 00:59
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