Last visit was: 13 Dec 2024, 03:32 It is currently 13 Dec 2024, 03:32
Home
GMAT
Messages
Tests
Schools
Reviews
Social
Chat
My Profile
Close
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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 13 Dec 2024
Posts: 97,865
Own Kudos:
685,466
 []
Given Kudos: 88,266
Products:
GMAT Club Tests Forum Quiz
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 97,865
Kudos: 685,466
 []
The y-intercepts, P and Q, of two perpendicular lines intersecting at 11 Jun 2022, 07:45
Kudos
Add Kudos
6
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

85% (hard)

Question Stats:

43% (02:51) correct 57% (02:36) wrong based on 56 sessions

History

Date
Time
Result
Not Attempted Yet
The y-intercepts, P and Q, of two perpendicular lines intersecting at the point A(6, 8) have a sum of zero. What is the area of triangle APQ ?

(A) 45
(B) 48
(C) 54
(D) 60
(E) 72


Are You Up For the Challenge: 700 Level Questions
ShowHide Answer
Official Answer
D
Most Helpful Reply
avatar
PRamesh2008
avatar
Joined: 30 Mar 2021
Last visit: 17 Jul 2022
Posts: 109
Own Kudos:
85
 []
Given Kudos: 48
Location: India
Products:
My Reviews
Posts: 109
Kudos: 85
 []
The y-intercepts, P and Q, of two perpendicular lines intersecting at 18 Jun 2022, 02:18
5
Kudos
Add Kudos
Bookmarks
Bookmark this Post
This is another way of solving the Problem..

Hope it helps..!!
Attachments

PS-1.jpg
PS-1.jpg [ 208.65 KiB | Viewed 2862 times ]

General Discussion
avatar
Asmita9502
avatar
Joined: 27 Apr 2022
Last visit: 21 Jun 2022
Posts: 3
Own Kudos:
1
Given Kudos: 36
Location: India
Posts: 3
Kudos: 1
The y-intercepts, P and Q, of two perpendicular lines intersecting at 11 Jun 2022, 11:13
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hi @bunnel Can you please explain the solution for this question?

Thanks!!
User avatar
gasoline
User avatar
Joined: 09 Apr 2016
Last visit: 16 Jan 2024
Posts: 28
Own Kudos:
27
 []
Given Kudos: 86
Posts: 28
Kudos: 27
 []
The y-intercepts, P and Q, of two perpendicular lines intersecting at 12 Jun 2022, 01:54
3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Greetings!
I will appreciate if someone could provide an easier and faster method to solve.


Posted from my mobile device
Attachments

File comment: Solved the question, but the approach is not fast enough.
E7AE5175-89D9-4004-BB54-B10EF1C22659.jpeg
E7AE5175-89D9-4004-BB54-B10EF1C22659.jpeg [ 1.09 MiB | Viewed 2990 times ]

avatar
AnanidzeZitze
avatar
Joined: 22 Apr 2020
Last visit: 28 Sep 2022
Posts: 1
Given Kudos: 1
Posts: 1
Kudos: 0
The y-intercepts, P and Q, of two perpendicular lines intersecting at 18 Jun 2022, 05:03
Kudos
Add Kudos
Bookmarks
Bookmark this Post
PRamesh2008
This is another way of solving the Problem..

Hope it helps..!!
the 2nd part need not be done -

the area = 1/2*b*h = 1/2*(distance between p & q = 2c =20)*(draw a perpendicular from A to y-axis= h = 6) = 60
avatar
NidhiR
avatar
Joined: 22 Apr 2022
Last visit: 17 Jul 2022
Posts: 30
Own Kudos:
10
Given Kudos: 3
Location: India
Posts: 30
Kudos: 10
The y-intercepts, P and Q, of two perpendicular lines intersecting at 16 Jul 2022, 00:30
Kudos
Add Kudos
Bookmarks
Bookmark this Post
The y-intercepts, P and Q, of two perpendicular lines intersecting at the point A(6, 8) have a sum of zero. What is the area of triangle APQ ?

(A) 45
(B) 48
(C) 54
(D) 60
(E) 72

Let A(6,8) alongwith P (0,y) and Q (0,-y) form a right angled triangle APQ.

Perpendicular from A on y-axis say, R (with coordinates as (0,8))

Then triangle PRA and ARP are similar.

Hence, PR/RA = AR/RP
(y-8)/6= 6/(8-(-y))
(y-8)/6= 6/(8+y)

Solving, we get y =10

Therefore, Area of the Triangle = 1/2 * Base * Height
= 1/2 * (10 - (-10)) * 6
= 1/2 * 20 * 6
= 60

Correct option is Option D
Moderator:
Bunuel
Math Expert
97864 posts