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

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

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New post 17 Sep 2018, 21:52
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Question Stats:

42% (02:11) correct 58% (02:29) wrong based on 36 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 2?

(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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New post 18 Sep 2018, 15:18
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i recommend sketching the circle with radius 2 and center (1,0)

1: either
y >1 --> it could be in quadrant 1 or 2 already NS, no need to look further
but lets do it anyway
or
y < -1 -> it could be in quadrant 3 or 4 (still see y>1, so NS)

2)
x is > 1 --> it could be in quadrant 1 or 4 --> sufficient so far
x is < -1 --> point has to be on the circle, since the circle has radius 2 and center 1,0
point -1,0 is the lefternmost point on the circle however this lies on the X axis, and does not belong to a quadrant, so it does not lie in Q2

Sufficient

B

kudos if this helped.
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Re: A circle with center (1, 0) and radius 2 lies in the coordinate plane &nbs [#permalink] 18 Sep 2018, 15:18
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