Circle C and line K lie in the xy plane.

Expert replies

andy123: Senior | Next Rank: 100 Posts; Posts: 55; Joined: Sun Sep 20, 2009 1:37 pm

by andy123 » Tue Oct 13, 2009 6:06 am

I have a tough time with questions on co-ordinate geometry because I dont know what to look for in the question..pls help!!

This one is from GMAT Prep

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

(1) The x intercept of line k is greater than 1
(2) The slope of line K is -1/10

what should be the approach in this case ?

equation or diagram...

another question is it says line K ... can we interpret it as since we do not know that the line is finitie or infinite...thus answer is E ??

Source: Beat The GMAT — Data Sufficiency | Tue Oct 13, 2009 6:06 am

mridul_dave: Senior | Next Rank: 100 Posts; Posts: 41; Joined: Tue Oct 06, 2009 9:49 am; Thanked: 4 times

Re: Circle C and line K lie in the xy plane.

by mridul_dave » Tue Oct 13, 2009 7:34 am

andy123 wrote:I have a tough time with questions on co-ordinate geometry because I dont know what to look for in the question..pls help!!

This one is from GMAT Prep

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

(1) The x intercept of line k is greater than 1
(2) The slope of line K is -1/10

what should be the approach in this case ?

equation or diagram...

another question is it says line K ... can we interpret it as since we do not know that the line is finitie or infinite...thus answer is E ??

For such simple situations , go with a diagram.
You wont have to solve anything.
If you know the slope of a line and a point that falls on it your line is completely defined, so is circle with center and radius information. So the two statements together can answer this.

I normally assume an infinite line because that is pretty much the assumption in geometry/co-ord.

ershovici: Senior | Next Rank: 100 Posts; Posts: 91; Joined: Tue Aug 25, 2009 7:50 am; Location: Washington DC; Thanked: 2 times; GMAT Score:600

by ershovici » Tue Oct 13, 2009 7:46 am

Answer is E.
St. 1 - insufficient - we do not know lines's paths.
St. 2 - insufficient - we can have a lot of equoitons and lines that satisfy this statement.
St. 1+2 - again insufficient - we can not get y intercept of the line, so can't answer a question.

mridul_dave: Senior | Next Rank: 100 Posts; Posts: 41; Joined: Tue Oct 06, 2009 9:49 am; Thanked: 4 times

by mridul_dave » Tue Oct 13, 2009 10:06 am

ershovici wrote:Answer is E.
St. 1 - insufficient - we do not know lines's paths.
St. 2 - insufficient - we can have a lot of equoitons and lines that satisfy this statement.
St. 1+2 - again insufficient - we can not get y intercept of the line, so can't answer a question.

If you know the slope, you know the Y intercept.

Talkativetree: Senior | Next Rank: 100 Posts; Posts: 43; Joined: Tue Oct 13, 2009 3:31 pm

by Talkativetree » Tue Oct 13, 2009 6:08 pm

How would you solve for the y-intercept, when you're not even sure what the line actually looks like?

the X-intercept could be 10, 100, ... n, so that the y-intercept would be 1, 10, ...etc.

Featured schoolRound 2 closes Jan 7, 2027 57 days left

Chicago Booth

Since 1982, 10 Booth faculty members have received the Nobel Prize in Economic Sciences, more than any other business school.

#3
U.S. News rank: $175,000
Median base salary: 670
Average GMAT Focus: 635
Students in the class

Apply to Booth Visit chicagobooth.edu See the full profile

Photo: Warren LeMay, CC BY-SA 2.0

GMAT Course Reviews

563 reviews

1168 reviews

431 reviews

359 reviews

147 reviews

5/5

5 Star (563 Reviews)

"Target Test Prep is the closest to the official version of the GMAT exam, about 99% accuracy in terms of the quality and quantity of information. The course has excellently created singular sets of focused lessons and tests for every possible topic that one could come across in the official GMAT exam."

"The TTP course maximizes the efficiency of the time you spend studying. It will take time and effort but I could almost guarantee that if you complete the course exactly as it is laid out you will get an amazing score. They also have a very responsive team willing to help with any questions you might have."

"TTP has two things that I think no other test prep company offers: A teaching approach that reinforces understanding and an attitude that will give you the mental preparedness needed to succeed on the test. TTP gives you a deep understanding of the concept you need to know while teaching you how to think."

Write a Review