It is currently 21 Oct 2017, 18:26

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Director
Director
User avatar
Joined: 07 Jun 2004
Posts: 610

Kudos [?]: 923 [0], given: 22

Location: PA
A circle with center (1, 0) and radius 2 lies in the [#permalink]

Show Tags

New post 19 Mar 2011, 06:43
7
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

53% (01:32) correct 47% (01:53) wrong based on 116 sessions

HideShow timer Statistics

A circle with center (1, 0) and radius 2 lies in the coordinate plane . If point (x, y) lies on the circle is (x, y) in quadrant 2?

(1) | y | > 1
(2) | x | > 1
[Reveal] Spoiler: OA

_________________

If the Q jogged your mind do Kudos me : )

Kudos [?]: 923 [0], given: 22

Intern
Intern
avatar
Joined: 21 Aug 2010
Posts: 14

Kudos [?]: 4 [0], given: 2

Re: Geometry DS [#permalink]

Show Tags

New post 19 Mar 2011, 08:12
the answer is B.
let us consider the 1st statement. y could be y>1 or y<-1. Since we do not know anything about x, the point (x,y) may lie in any of the quadrants. Not suff.
St. 2. If |x|>1, then x>1 or x<-1. But x<-1 is impossible since it lies outside the circle. So we are left with x>1. Is a point (x,y) has x>1, it definitely cannot lie on the second quadrant, but only in the first or fourth. Suff.

Kudos [?]: 4 [0], given: 2

1 KUDOS received
Math Forum Moderator
avatar
Joined: 20 Dec 2010
Posts: 1964

Kudos [?]: 2054 [1], given: 376

Re: Geometry DS [#permalink]

Show Tags

New post 19 Mar 2011, 14:48
1
This post received
KUDOS
rxs0005 wrote:
A circle with center (1, 0) and radius 2 lies in the coordinate plane . If point (x, y) lies on the circle is (x, y) in quadrant 2?

(1) | y | > 1
(2) | x | > 1


If you draw a circle, you can solve it quickly.

We can see that for the 2nd quadrant, the (x,y) coordinate must be between \((0,\sqrt{3})\) and \((-1,0)\).

As we can clearly see that, if the radius is 2 and center is at (1,0); the extreme value of x for 2nd quadrant will be 1-2=-1, where y will be 0.

We know the extreme value for x; i.e. -1

Let's find out the extreme value for y; y will be maximum when x=0;

We can find y where x=0 by Pythagoras theorem;

Distance between origin and the center is 1.
Distance between center and the intersection of circle and y-axis is 2(radius).

Thus, distance between origin and extreme value of y in 2nd quadrant = \(\sqrt{2^2-1^2}=\sqrt{3}\approx 1.73\)

Thus we know the extreme(maximum) value for both x and y in the 2nd quadrant.

\(x<=-1 & y<=1.73\)

1. |y| > 1

Thus y can be 1.2 or 1.8.
1.2<1.73
1.8>1.73

(x,y) may or may not be in the 2nd quadrant
Not Sufficient.

2. |x| > 1

As we know that the maximum value of x in 2nd quadrant is 1. (x,y) can't be in the 2nd quadrant because |x|>1.

Sufficient.

Ans: "B"
*****************

Please take a look at the image to get a visual clarification as well.
Attachments

quadrant_for_point_x_y_on_circle.PNG
quadrant_for_point_x_y_on_circle.PNG [ 9.87 KiB | Viewed 2113 times ]


_________________

~fluke

GMAT Club Premium Membership - big benefits and savings

Kudos [?]: 2054 [1], given: 376

Manager
Manager
avatar
Joined: 05 Jul 2010
Posts: 186

Kudos [?]: 22 [0], given: 18

Re: Geometry DS [#permalink]

Show Tags

New post 19 Mar 2011, 17:15
Thanks Fluke. Great explanation.

Kudos [?]: 22 [0], given: 18

Director
Director
avatar
Status: Impossible is not a fact. It's an opinion. It's a dare. Impossible is nothing.
Affiliations: University of Chicago Booth School of Business
Joined: 03 Feb 2011
Posts: 871

Kudos [?]: 396 [0], given: 123

Reviews Badge
Re: Geometry DS [#permalink]

Show Tags

New post 19 Mar 2011, 20:08
Interesting! Consider this we move the center to origin then both statements are insufficient. But not now.

Posted from my mobile device

Kudos [?]: 396 [0], given: 123

Expert Post
3 KUDOS received
Veritas Prep GMAT Instructor
User avatar
G
Joined: 16 Oct 2010
Posts: 7676

Kudos [?]: 17381 [3], given: 232

Location: Pune, India
Re: Geometry DS [#permalink]

Show Tags

New post 19 Mar 2011, 20:46
3
This post received
KUDOS
Expert's post
2
This post was
BOOKMARKED
rxs0005 wrote:
A circle with center (1, 0) and radius 2 lies in the coordinate plane . If point (x, y) lies on the circle is (x, y) in quadrant 2?

(1) | y | > 1
(2) | x | > 1


As fluke pointed out, it is a good idea to draw a diagram here. In fact, in most co-ordinate geometry questions, a diagram is almost a must.

Ques: Is (x, y) in quadrant II?
Attachment:
Ques2.jpg
Ques2.jpg [ 8.05 KiB | Viewed 2064 times ]

Stmnt 1: | y | > 1
Look at the red lines above. Here | y | > 1 on the y axis. So (x,y) can be any point on the green region. It may or may not lie in the second quadrant. Not sufficient.

Stmnt 2: | x | > 1
Look at the blue line above. Here | x | > 1 on the x axis. So (x,y) can be any point on the orange line. None of these points lie in the second quadrant. Sufficient.

Answer (B).
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Kudos [?]: 17381 [3], given: 232

Current Student
User avatar
Joined: 06 Sep 2013
Posts: 1978

Kudos [?]: 719 [0], given: 355

Concentration: Finance
GMAT ToolKit User
Re: A circle with center (1, 0) and radius 2 lies in the [#permalink]

Show Tags

New post 28 Dec 2013, 07:08
rxs0005 wrote:
A circle with center (1, 0) and radius 2 lies in the coordinate plane . If point (x, y) lies on the circle is (x, y) in quadrant 2?

(1) | y | > 1
(2) | x | > 1


Statement 1

Could be any quadrant actually

Statement 2

| x | > 1 means either x>1 or x<-1

Since circle has radius 2 and centered at (1,0) then x cannot be less than -1.

Therefore, x>1

So it CANNOT be on the second quadrant

Hence, answer is B only

Hope it helps!
Cheers!
J :)

Kudos [?]: 719 [0], given: 355

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 16587

Kudos [?]: 273 [0], given: 0

Premium Member
Re: A circle with center (1, 0) and radius 2 lies in the [#permalink]

Show Tags

New post 23 Jun 2015, 06:33
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 273 [0], given: 0

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 16587

Kudos [?]: 273 [0], given: 0

Premium Member
Re: A circle with center (1, 0) and radius 2 lies in the [#permalink]

Show Tags

New post 25 Sep 2017, 10:56
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 273 [0], given: 0

Re: A circle with center (1, 0) and radius 2 lies in the   [#permalink] 25 Sep 2017, 10:56
Display posts from previous: Sort by

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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®.