GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Nov 17Live Online Classes with Top GRE Expert Rich Zwelling
08:00 PM EST
-10:00 PM EST
Get live instruction from a top-scoring, industry-recognized GRE teachers + 6 months of access to TTP Self-Study included! Tues/Thur Sept 7, 2026---Feb. 2, 2027, 1:00pm-3:00pm EST
Dec 14Live Online Classes with Top GRE Expert Michael Butville
08:00 PM EST
-10:00 PM EST
Get live instruction from a top-scoring, industry-recognized GRE teachers + 6 months of access to TTP Self-Study included! Mon/Wed Dec. 14, 2026---Feb. 22, 2027, 8:00pm-10:00pm EST
In the xy-plane, two circular regions are centere at (-6, 5)
[#permalink]
Updated on: 07 Jan 2026, 08:35
Updated on: 07 Jan 2026, 08:35
1
3
Bookmarks
00:00
Question Stats:
4% (01:11) correct
95% (01:29) wrong based on 24 sessions
Hide Show timer Statistics
In the xy-plane, two circular regions are centered at (-6, 5). One of the regions is tangent to the x-axis and the other is tangent to the y-axis.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The area of the larger region minus the area of the smaller region |
\(9\pi\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Originally posted by bunterocks on 23 Oct 2020, 20:57.
Last edited by tyrant100 on 07 Jan 2026, 08:35, edited 2 times in total.
Last edited by tyrant100 on 07 Jan 2026, 08:35, edited 2 times in total.
Formatted
Re: In the xy-plane, two circular regions are centere at (-6, 5)
[#permalink]
24 Oct 2020, 06:57
24 Oct 2020, 06:57
3
The larger circle has radius equal 6. The smaller circle has radius equal to 5.
The area of the larger circle minus the smaller circle is \(36\pi -25\pi=11\pi\)
Answer is A.
The area of the larger circle minus the smaller circle is \(36\pi -25\pi=11\pi\)
Answer is A.
Re: In the xy-plane, two circular regions are centere at (-6, 5)
[#permalink]
26 Oct 2020, 02:29
26 Oct 2020, 02:29
1
Drawing an x-y axis with the point helps visualise this problem better. The point (-6,5) lies in the second quadrant. We are told this is the centre of two circles, one that touches the x-axis and another that touches the y-axis. Naturally, the circle touching the x-axis would be smaller since the centre point (-6,5) is closer to the x axis. Similarly, the larger circle would touch the y-axis. Since we have the point we can determine the radii. The smaller circle will have a radius of 5 whereas the larger one will have a radius of 6.
Now we can find the difference in area,
\(36\pi -25\pi=11\pi\)
Now we can find the difference in area,
\(36\pi -25\pi=11\pi\)
