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A circle is drawn in the xy-coordinate plane. If there are n differen

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A circle is drawn in the xy-coordinate plane. If there are n differen [#permalink]

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New post 28 Dec 2015, 12:41
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A circle is drawn in the xy-coordinate plane. If there are n different points (x, y) on the circle such that xy = 0, then the possible values of n are:

a) 0, 1, or 2

b) 0, 2, or 4

c) 0 or 4

d) 0, 2, 3, or 4

e) 0, 1, 2, 3, or 4
[Reveal] Spoiler: OA
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Re: A circle is drawn in the xy-coordinate plane. If there are n differen [#permalink]

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New post 30 Dec 2015, 07:58
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Given: xy = 0 --> xy is a line on the x axis or y axis
We have to find the number of points of intersection of xy with the circle.

As seen in the attached figure, answer is E.
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Re: A circle is drawn in the xy-coordinate plane. If there are n differen [#permalink]

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Re: A circle is drawn in the xy-coordinate plane. If there are n differen [#permalink]

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When Circle is not touching any of the X axis or Y axis, how the condition xy=0 is satisfied ?
could you please explain.
thanks for your help
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Re: A circle is drawn in the xy-coordinate plane. If there are n differen [#permalink]

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kannu44 wrote:
When Circle is not touching any of the X axis or Y axis, how the condition xy=0 is satisfied ?
could you please explain.
thanks for your help


This is the case when the condition is not satisfied, so when the answer is that there are 0 points (x, y) on the circle such that xy = 0.
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Re: A circle is drawn in the xy-coordinate plane. If there are n differen [#permalink]

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New post 02 Sep 2017, 05:44
For n = 4, how is the condition x*y = 0 satisfied ?? In the figure attached, neither x nor y is 0 for n = 4 ! So how is the case satisfied ??
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Re: A circle is drawn in the xy-coordinate plane. If there are n differen [#permalink]

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New post 02 Sep 2017, 06:13
dflorez wrote:
A circle is drawn in the xy-coordinate plane. If there are n different points (x, y) on the circle such that xy = 0, then the possible values of n are:

a) 0, 1, or 2

b) 0, 2, or 4

c) 0 or 4

d) 0, 2, 3, or 4

e) 0, 1, 2, 3, or 4



Bunuel could u pls explain what is this question asking for? kind of ambiguous for me
Re: A circle is drawn in the xy-coordinate plane. If there are n differen   [#permalink] 02 Sep 2017, 06:13
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