Author 
Message 
TAGS:

Hide Tags

Intern
Joined: 22 Dec 2015
Posts: 5

A circle is drawn in the xycoordinate plane. If there are n differen
[#permalink]
Show Tags
28 Dec 2015, 13:41
Question Stats:
62% (01:37) correct 38% (01:49) wrong based on 363 sessions
HideShow timer Statistics
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
Official Answer and Stats are available only to registered users. Register/ Login.




SC Moderator
Joined: 13 Apr 2015
Posts: 1702
Location: India
Concentration: Strategy, General Management
GPA: 4
WE: Analyst (Retail)

Re: A circle is drawn in the xycoordinate plane. If there are n differen
[#permalink]
Show Tags
30 Dec 2015, 08:58
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.
Attachments
IMG_20151230_212028.jpg [ 1.05 MiB  Viewed 5270 times ]




Manager
Joined: 17 Aug 2012
Posts: 144
Location: India
Concentration: General Management, Strategy
GPA: 3.75
WE: Consulting (Energy and Utilities)

Re: A circle is drawn in the xycoordinate plane. If there are n differen
[#permalink]
Show Tags
13 Mar 2017, 04:50
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



Math Expert
Joined: 02 Sep 2009
Posts: 49496

Re: A circle is drawn in the xycoordinate plane. If there are n differen
[#permalink]
Show Tags
13 Mar 2017, 05:03



Intern
Joined: 25 Feb 2017
Posts: 4

Re: A circle is drawn in the xycoordinate plane. If there are n differen
[#permalink]
Show Tags
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 ??



Manager
Joined: 19 Jul 2017
Posts: 85
Location: India
Concentration: General Management, Strategy
GPA: 3.5

Re: A circle is drawn in the xycoordinate plane. If there are n differen
[#permalink]
Show Tags
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



Study Buddy Forum Moderator
Joined: 04 Sep 2016
Posts: 1195
Location: India
WE: Engineering (Other)

Re: A circle is drawn in the xycoordinate plane. If there are n differen
[#permalink]
Show Tags
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?
_________________
It's the journey that brings us happiness not the destination.



Math Expert
Joined: 02 Aug 2009
Posts: 6810

Re: A circle is drawn in the xycoordinate plane. If there are n differen
[#permalink]
Show Tags
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
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effectsofarithmeticoperationsonfractions269413.html
GMAT online Tutor



Study Buddy Forum Moderator
Joined: 04 Sep 2016
Posts: 1195
Location: India
WE: Engineering (Other)

A circle is drawn in the xycoordinate plane. If there are n differen
[#permalink]
Show Tags
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?
_________________
It's the journey that brings us happiness not the destination.



Math Expert
Joined: 02 Aug 2009
Posts: 6810

Re: A circle is drawn in the xycoordinate plane. If there are n differen
[#permalink]
Show Tags
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
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effectsofarithmeticoperationsonfractions269413.html
GMAT online Tutor



Senior Manager
Joined: 22 Feb 2018
Posts: 327

A circle is drawn in the xycoordinate plane. If there are n differen
[#permalink]
Show Tags
13 Apr 2018, 22:47
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
_________________
Good, good Let the kudos flow through you



DS Forum Moderator
Joined: 27 Oct 2017
Posts: 733
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)

Re: A circle is drawn in the xycoordinate plane. If there are n differen
[#permalink]
Show Tags
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
_________________
Win GMAT CLUB Tests  Weekly Quant Quiz Contest SC: Confusable words All you need for Quant, GMAT PS Question Directory,GMAT DS Question Directory Error log/Key Concepts Combination Concept: Division into groups Question of the Day (QOTD) Free GMAT CATS



Intern
Joined: 18 Jul 2018
Posts: 11

Re: A circle is drawn in the xycoordinate plane. If there are n differen
[#permalink]
Show Tags
28 Aug 2018, 23:34
Math experts can you please help explain this? as in visually??? Since xy=0, i do understand that either x or y or both can be 0. But how do i assume different points on the xy coordinate?




Re: A circle is drawn in the xycoordinate plane. If there are n differen &nbs
[#permalink]
28 Aug 2018, 23:34






