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

 It is currently 25 Apr 2019, 07:50

### 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

# In the xy plane, each point on the circle k has non negative

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

### Hide Tags

Senior Manager
Joined: 18 Sep 2009
Posts: 266
In the xy plane, each point on the circle k has non negative  [#permalink]

### Show Tags

18 Apr 2012, 19:59
1
8
00:00

Difficulty:

15% (low)

Question Stats:

78% (01:13) correct 22% (01:24) wrong based on 581 sessions

### HideShow timer Statistics

In the xy plane, each point on the circle k has non negative coordinates and the center of k is the point (4,7). What is the max possible area of K?

A. 4pi
B. 9pi
C. 16pi
D. 28pi
E. 49pi

This question is already posted in the forum. My doubt is why it cant be the 7. everybody is saying it could touch negative coordinates. please explain in detail
##### Most Helpful Expert Reply
Math Expert
Joined: 02 Sep 2009
Posts: 54543
Re: In the xy plane, each point on the circle k has non negative  [#permalink]

### Show Tags

19 Apr 2012, 00:53
11
2
TomB wrote:
In the xy plane, each point on the circle k has non negative coordinates and the center of k is the point (4,7). What is the max possible area of K?

A. 4pi
B. 9pi
C. 16pi
D. 28pi
E. 49pi

This question is already posted in the forum. My doubt is why it cant be the 7. everybody is saying it could touch negative coordinates. please explain in detail

The circles with radius of 4 (blue) and 7 (red):
Attachment:

Circle.png [ 13.66 KiB | Viewed 8967 times ]

As you can see if the circle has the radius of 7 some of its points will be in II quadrant so will have negative x coordinate, but we are told that: "each point on the circle k has non negative coordinates", so the radius of 7 is not possible (or any other radius more than 4).

So, the max radius is 4, which makes the max area equal to $$\pi{r^2}=16\pi$$.

Answer: C.

Hope it's clear.
_________________
##### General Discussion
Math Expert
Joined: 02 Sep 2009
Posts: 54543
Re: In the xy plane, each point on the circle k has non negative  [#permalink]

### Show Tags

27 Jun 2013, 23:46
2
Bumping for review and further discussion*. Get a kudos point for an alternative solution!

*New project from GMAT Club!!! Check HERE

Theory on Coordinate Geometry: math-coordinate-geometry-87652.html

All DS Coordinate Geometry Problems to practice: search.php?search_id=tag&tag_id=41
All PS Coordinate Geometry Problems to practice: search.php?search_id=tag&tag_id=62

_________________
Non-Human User
Joined: 09 Sep 2013
Posts: 10626
Re: In the xy plane, each point on the circle k has non negative  [#permalink]

### Show Tags

06 Sep 2017, 09:18
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.
_________________
Re: In the xy plane, each point on the circle k has non negative   [#permalink] 06 Sep 2017, 09:18
Display posts from previous: Sort by

# In the xy plane, each point on the circle k has non negative

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

 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®.