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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Re: Circle C and line K lie in the XY plane. If circle C is centered at th [#permalink]

Show Tags

26 Mar 2009, 12:06

1

This post was BOOKMARKED

1. The x-intercept of line k is greater than 1.

We know the x-intercept but the slope of the line is not known. If line k has a very small slope and intersects the x-axis at 2,3,4..the line will intersect the circle and if the x-intercept is a relatively large number with a high slope, it will not intersect the circle...So statement 1 is insufficient.

2. The slope of line k is -1/10

Again, we know the slope, but we dont know where it intersects the x-axis. We know that we have a relatively flat line..so if it intersects the x-axis at 2,3,4,5..10 , it will intersect the circle but if it intersects the x-axis at 50,100,200 , it will not intersect the circle..So statement 2 is insufficient.

We are down to C and E.

Together, we again dont have sufficient info. Let's take an example Slope=-1/10 , x-axis intersection at (4,0) y-y1=m(x-x1) y=-0.1x+0.4...this line will intersect the y-axis at 0.4 ( hence intersect circle)

take another example slope=-1/10, x-axis intersection at (100,0) y=-0.1x+10 ..this line will intersect the y-axis at 10 ( hence NOT intersect the circle)...So it is insufficient.

Re: Circle C and line K lie in the XY plane. If circle C is centered at th [#permalink]

Show Tags

01 Oct 2014, 23:53

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.
_________________

Circle C and line K lie in the XY plane. If circle C is centered at the origin and has a radius 1, does line K intersect circle C?

The best way to solve this question would be to visualize/draw it.

No matter what the slope is, it’s possible for line not to cross the circle as the x intercept can be + infinite.

(1) The X-Intercept of line k is greater than 1 --> Just says that X-intercept is to the right of the circle. Not sufficient (2) The slope of line k is -1/10 --> Just says that slope is negative -1/10 --> line is just going down. Not sufficient.

(1)+(2) As we don't know exact intercept of line and X-axis we can not determine whether line intersects the circle or not. Not sufficient.

To elaborate more: we can draw infinitely many parallel lines with X-intercept more than 1 and slope -1/10, some will intersect the circle (for example line with X-intercept 1.1) and some not (for example line with X-intercept 1,000,000). Check the image below for two possible scenarios: blue line (with the slope of -1/10 and the x-Intercept greater than 1) intersects the circle while the red line (also with the slope of -1/10 and the x-Intercept greater than 1) does not.

Campus visits play a crucial role in the MBA application process. It’s one thing to be passionate about one school but another to actually visit the campus, talk...

Its been long time coming. I have always been passionate about poetry. It’s my way of expressing my feelings and emotions. And i feel a person can convey...

Marty Cagan is founding partner of the Silicon Valley Product Group, a consulting firm that helps companies with their product strategy. Prior to that he held product roles at...

Written by Scottish historian Niall Ferguson , the book is subtitled “A Financial History of the World”. There is also a long documentary of the same name that the...