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A circle is drawn in the xycoordinate plane. If there are n differen [#permalink]
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28 Dec 2015, 13:41
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A circle is drawn in the xycoordinate 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
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Re: A circle is drawn in the xycoordinate plane. If there are n differen [#permalink]
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30 Dec 2015, 08:58
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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 xycoordinate plane. If there are n differen [#permalink]
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13 Mar 2017, 04:50
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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 xycoordinate plane. If there are n differen [#permalink]
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Re: A circle is drawn in the xycoordinate plane. If there are n differen [#permalink]
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02 Sep 2017, 06:44
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 xycoordinate plane. If there are n differen [#permalink]
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02 Sep 2017, 07:13
dflorez wrote: A circle is drawn in the xycoordinate 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



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Re: A circle is drawn in the xycoordinate plane. If there are n differen [#permalink]
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13 Apr 2018, 16:16
Bunuel chetan2u niks18Quote: A circle is drawn in the xycoordinate plane. Is not this kind of an universal truth? A circle is a 2D figure. What do I infer from this sentence? Quote: If there are n different points (x, y) on the circle such that xy = 0, then the possible values of n are: How do I make sure: (x,y) refer to circumference and not area? Can I infer we are talking about intercepts from (x,y) = 0?
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Re: A circle is drawn in the xycoordinate plane. If there are n differen [#permalink]
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13 Apr 2018, 22:30
Quote: A circle is drawn in the xycoordinate plane. Is not this kind of an universal truth? A circle is a 2D figure. What do I infer from this sentence? Yes it is a 2D figure. but it could be xz or yz although we normally talk of xy coordinates... so its OK as we are dealing with x,y thereafterQuote: If there are n different points (x, y) on the circle such that xy = 0, then the possible values of n are: How do I make sure: (x,y) refer to circumference and not area? Can I infer we are talking about intercepts from (x,y) = 0? Since it is given ON the circle, it is talking of (x,y) lying on the circumference.. Had it been IN the circle, we would have talked about area
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A circle is drawn in the xycoordinate plane. If there are n differen [#permalink]
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13 Apr 2018, 22:40
chetan2uQuote: Yes it is a 2D figure. but it could be xz or yz although we normally talk of xy coordinates... so its OK as we are dealing with x,y thereafter What is z in in your reply? Ideally a single point on / inside the circle will still be represented only by an order pair (x,y) This not a sphere Q, representing (x,y,z) . Why is at all is first sentence required to be given?
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Re: A circle is drawn in the xycoordinate plane. If there are n differen [#permalink]
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13 Apr 2018, 22:45
adkikani wrote: chetan2uQuote: Yes it is a 2D figure. but it could be xz or yz although we normally talk of xy coordinates... so its OK as we are dealing with x,y thereafter What is z in in your reply? Ideally a single point on / inside the circle will still be represented only by an order pair (x,y) This not a sphere Q, representing (x,y,z) . Why is at all is first sentence required to be given? what if I draw it on ground or on wall... both are different planes.. But as I told you , you dont have to worry about it. But mentioning a circle in xycoordinate is perfectly fine
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A circle is drawn in the xycoordinate plane. If there are n differen [#permalink]
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13 Apr 2018, 22:47
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xy plane can be written as (x,y,0). z = 0 for xy plane. similarly xz plane would be (x,0,z) ,y will be zero in xz plane. It is possible to have equation of circle as \(x^2+z^2=16\) in xz plane Sent from my XT1068 using GMAT Club Forum mobile app
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Re: A circle is drawn in the xycoordinate plane. If there are n differen [#permalink]
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14 Apr 2018, 01:07
But as the question explicitly states points (x,y) lies on circle, hence it is in xy plane. There is no point in contemplating about different other planes possible. Princ wrote: xy plane can be written as (x,y,0). z = 0 for xy plane. similarly xz plane would be (x,0,z) ,y will be zero in xz plane. It is possible to have equation of circle as \(x^2+z^2=16\) in xz plane Sent from my XT1068 using GMAT Club Forum mobile app Posted from my mobile device
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