Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 26 Aug 2016, 04:02

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Set T consists of all points (x, y) such that x^2 + y^2 =1.

Author Message
Manager
Joined: 14 May 2005
Posts: 85
Location: San Francisco
Followers: 1

Kudos [?]: 10 [0], given: 0

Set T consists of all points (x, y) such that x^2 + y^2 =1. [#permalink]

### Show Tags

14 Oct 2006, 14:50
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Set T consists of all points (x, y) such that x^2 + y^2 =1. If point (a, b) is selected from set T at random, what is the probability that b > a + 1?

(A) 1/4
(B) 1/3
(C) 1/2
(D) 3/5
(E) 2/3
SVP
Joined: 01 May 2006
Posts: 1798
Followers: 9

Kudos [?]: 137 [0], given: 0

### Show Tags

14 Oct 2006, 15:24
For me (A),

In an XY plan, x^2+y^2 = 1 represents a circle with a radius of 1 and the center 0(0,0).

The area of circle that is matching the inequality b > a+1 is in the cadran II. It's 1/4 of the circle (not completly actually but anyway).

Thus, the probability to select 1 point on this arc is 1/4.
Manager
Joined: 14 May 2005
Posts: 85
Location: San Francisco
Followers: 1

Kudos [?]: 10 [0], given: 0

### Show Tags

09 Nov 2006, 22:53
Fig, thanks.

I think that the wordings of the question are wrong. The question must be that what is the probability that b >= a + b. Otherwise, the probability must be slightly less than Â¼, since the two boundary points (0, 1) & (-1, 0) cannot be part of the selection. This question is from one of the Challenges.
Display posts from previous: Sort by

# Set T consists of all points (x, y) such that x^2 + y^2 =1.

 Powered by phpBB © phpBB Group and phpBB SEO 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®.