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.
Which of the following lines intersects the vertical line x
[#permalink]
30 Nov 2018, 17:34
30 Nov 2018, 17:34
Expert Reply
8
Bookmarks
00:00
Question Stats:
67% (01:31) correct
32% (01:54) wrong based on 80 sessions
Hide Show timer Statistics
Which of the following lines intersects the vertical line x = 3 between (3, 1) and (3, 2)?
Indicate all possible lines.
A. \(y=(\frac{3}{5})x\)
B. \(y=(\frac{3}{7})x+1\)
C. \(y=(\frac{1}{5})x+\frac{6}{5}\)
D. \(y=-(\frac{3}{2})x+5\)
E. \(y=-(\frac{1}{4})x+3\)
Indicate all possible lines.
A. \(y=(\frac{3}{5})x\)
B. \(y=(\frac{3}{7})x+1\)
C. \(y=(\frac{1}{5})x+\frac{6}{5}\)
D. \(y=-(\frac{3}{2})x+5\)
E. \(y=-(\frac{1}{4})x+3\)
Re: Which of the following lines intersects the vertical line x
[#permalink]
19 Dec 2018, 19:44
19 Dec 2018, 19:44
3
Expert Reply
so we know that a vertical line means a straight line going purely up and down.
This means that for no matter what value of y there is, X will always be 3
we also know that between (3,1) and (3,2), y has to be greater than 1 but less than 2
All we have to do now is plug in 3 for every x value in the answer choices,
and we only accept choices that have a y value that is greater than 1 but less than 2.
the two choices are A and C
This means that for no matter what value of y there is, X will always be 3
we also know that between (3,1) and (3,2), y has to be greater than 1 but less than 2
All we have to do now is plug in 3 for every x value in the answer choices,
and we only accept choices that have a y value that is greater than 1 but less than 2.
the two choices are A and C
Re: Which of the following lines intersects the vertical line x
[#permalink]
19 Dec 2018, 22:44
19 Dec 2018, 22:44
1
Expert Reply
Which of the following lines intersects the vertical line x = 3 between (3, 1) and (3, 2)?
Look at the figure attached for visualizing the question.
Now, if a line intersects the line x=3, the x-coordinate will always be 3 and y should be between 1 and 2..
Let us substitute the value of x as 3 to see which option gives y between 2 and 3
A. \(y=(\frac{3}{5})x=(\frac{3}{5})*3=\frac{9}{5}=
1+\frac{4}{5}........\), x is between 1 and 2 YES
B. \(y=(\frac{3}{7})x+1=(\frac{9}{7})+1=(\frac{2}{7})+2......\), thus between 2 and 3... No
C. \(y=(\frac{1}{5})x+\frac{6}{5}=(\frac{1}{5})*3+\frac{6}{5}=\frac{9}{5}\), x is between 1 and 2...Yes
D. \(y=-(\frac{3}{2})x+5=5-(\frac{9}{2})=\frac{1}{2}\), thus x <1...No
E. \(y=-(\frac{1}{4})x+3=3-(\frac{3}{4})=2+\frac{1}{4}\), thus between 2 and 3...No
A and C
Look at the figure attached for visualizing the question.
Now, if a line intersects the line x=3, the x-coordinate will always be 3 and y should be between 1 and 2..
Let us substitute the value of x as 3 to see which option gives y between 2 and 3
A. \(y=(\frac{3}{5})x=(\frac{3}{5})*3=\frac{9}{5}=
1+\frac{4}{5}........\), x is between 1 and 2 YES
B. \(y=(\frac{3}{7})x+1=(\frac{9}{7})+1=(\frac{2}{7})+2......\), thus between 2 and 3... No
C. \(y=(\frac{1}{5})x+\frac{6}{5}=(\frac{1}{5})*3+\frac{6}{5}=\frac{9}{5}\), x is between 1 and 2...Yes
D. \(y=-(\frac{3}{2})x+5=5-(\frac{9}{2})=\frac{1}{2}\), thus x <1...No
E. \(y=-(\frac{1}{4})x+3=3-(\frac{3}{4})=2+\frac{1}{4}\), thus between 2 and 3...No
A and C
Attachments
gre11.png [ 48.46 KiB | Viewed 9943 times ]
