GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Jul 2018, 19:21

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

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

Author Message
TAGS:

### Hide Tags

Intern
Joined: 22 Dec 2015
Posts: 5
A circle is drawn in the xy-coordinate plane. If there are n differen  [#permalink]

### Show Tags

28 Dec 2015, 13:41
12
00:00

Difficulty:

55% (hard)

Question Stats:

62% (01:03) correct 38% (00:59) wrong based on 310 sessions

### HideShow timer Statistics

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
SC Moderator
Joined: 13 Apr 2015
Posts: 1712
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
Re: A circle is drawn in the xy-coordinate plane. If there are n differen  [#permalink]

### Show Tags

30 Dec 2015, 08:58
11
4
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 4764 times ]

##### General Discussion
Manager
Joined: 17 Aug 2012
Posts: 156
Location: India
Concentration: General Management, Strategy
Schools: Copenhagen, ESMT"19
GPA: 3.75
WE: Consulting (Energy and Utilities)
Re: A circle is drawn in the xy-coordinate plane. If there are n differen  [#permalink]

### Show Tags

13 Mar 2017, 04:50
1
When Circle is not touching any of the X axis or Y axis, how the condition xy=0 is satisfied ?
Math Expert
Joined: 02 Sep 2009
Posts: 47157
Re: A circle is drawn in the xy-coordinate plane. If there are n differen  [#permalink]

### Show Tags

13 Mar 2017, 05:03
2
kannu44 wrote:
When Circle is not touching any of the X axis or Y axis, how the condition xy=0 is satisfied ?

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.
_________________
Intern
Joined: 25 Feb 2017
Posts: 6
Re: A circle is drawn in the xy-coordinate 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 xy-coordinate plane. If there are n differen  [#permalink]

### Show Tags

02 Sep 2017, 07:13
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
Study Buddy Forum Moderator
Joined: 04 Sep 2016
Posts: 1102
Location: India
WE: Engineering (Other)
Re: A circle is drawn in the xy-coordinate plane. If there are n differen  [#permalink]

### Show Tags

13 Apr 2018, 16:16
Bunuel chetan2u niks18

Quote:
A circle is drawn in the xy-coordinate 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: 6258
Re: A circle is drawn in the xy-coordinate plane. If there are n differen  [#permalink]

### Show Tags

13 Apr 2018, 22:30
1
Quote:
A circle is drawn in the xy-coordinate 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 thereafter

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?
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/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Study Buddy Forum Moderator
Joined: 04 Sep 2016
Posts: 1102
Location: India
WE: Engineering (Other)
A circle is drawn in the xy-coordinate plane. If there are n differen  [#permalink]

### Show Tags

13 Apr 2018, 22:40
chetan2u

Quote:
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

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: 6258
Re: A circle is drawn in the xy-coordinate plane. If there are n differen  [#permalink]

### Show Tags

13 Apr 2018, 22:45
1
chetan2u

Quote:
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

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 xy-coordinate is perfectly fine
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Manager
Joined: 22 Feb 2018
Posts: 187
A circle is drawn in the xy-coordinate plane. If there are n differen  [#permalink]

### Show Tags

13 Apr 2018, 22:47
1
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: 623
Location: India
GPA: 3.64
WE: Business Development (Energy and Utilities)
Re: A circle is drawn in the xy-coordinate 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
_________________
Re: A circle is drawn in the xy-coordinate plane. If there are n differen &nbs [#permalink] 14 Apr 2018, 01:07
Display posts from previous: Sort by

# Events & Promotions

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.