In the xy-plane, does the line with equation y = 3x + 2 contain the point (r,s) ?
(1) (3r + 2 - s) (4r + 9 - s) = 0
(2) (4r - 6 - s) (3r + 2 - s) = 0
from the equation y = 3x + 2, we get to know that SLOPE = 3. so point (r,s) should also have the same slope.
By solving statement 1, we get
s = 3r + 2 and s = 4r + 9
so, the slope = 3 or 4
By solving statement 2, we get
s = 4r - 6 and s = 3r + 2
so, the slope = 4 or 3
Now considering both statements, we get SLOPE = 3 or 4. so i selected "E". But the OA is "C"
Please help to clarify the same.
Thanks & Regards
Nikunj
GMAT PREP DS Question
This topic has expert replies
-
- Newbie | Next Rank: 10 Posts
- Posts: 4
- Joined: Tue Oct 21, 2008 8:15 pm
The question asks if y = 3x + 2 contain the point (r,s)
=> is S=3r+2??
From option 1 we get S=3r+2 or S=4r+9
So option 1 is insff
From option 2 we get S=4r-6 or S=3r+2
So option 2 is insuff
Considering both we can conclude that S=3r+2
Hence the answer is C.....Hope this clarifies your doubt
=> is S=3r+2??
From option 1 we get S=3r+2 or S=4r+9
So option 1 is insff
From option 2 we get S=4r-6 or S=3r+2
So option 2 is insuff
Considering both we can conclude that S=3r+2
Hence the answer is C.....Hope this clarifies your doubt
- ronniecoleman
- Legendary Member
- Posts: 546
- Joined: Sun Nov 16, 2008 11:00 pm
- Location: New Delhi , India
- Thanked: 13 times
-
- Senior | Next Rank: 100 Posts
- Posts: 35
- Joined: Wed Oct 29, 2008 5:14 am
even if we don't now what the values of S and R is the answer C because we hypothetically could use algebra to solve for them (not that we would)?jahnaviyeruva wrote:
Considering both we can conclude that S=3r+2
Hence the answer is C.....Hope this clarifies your doubt
Or is there another reason why the two taken together are suff?