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Which of the following lines intersects the vertical line x
[#permalink]
30 Nov 2018, 17:34

Expert Reply

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Question Stats:

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

2

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

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

gre11.png [ 48.46 KiB | Viewed 8924 times ]

_________________

Some useful Theory.

1. Arithmetic and Geometric progressions : https://gre.myprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048

2. Effect of Arithmetic Operations on fraction : https://gre.myprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825

3. Remainders : https://gre.myprepclub.com/forum/remainders-what-you-should-know-11524.html

4. Number properties : https://gre.myprepclub.com/forum/number-property-all-you-require-11518.html

5. Absolute Modulus and Inequalities : https://gre.myprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

1. Arithmetic and Geometric progressions : https://gre.myprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048

2. Effect of Arithmetic Operations on fraction : https://gre.myprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825

3. Remainders : https://gre.myprepclub.com/forum/remainders-what-you-should-know-11524.html

4. Number properties : https://gre.myprepclub.com/forum/number-property-all-you-require-11518.html

5. Absolute Modulus and Inequalities : https://gre.myprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

Re: Which of the following lines intersects the vertical line x
[#permalink]
20 Dec 2018, 08:00

chetan2u wrote:

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 2 and 3..

Let us substitute the value of x as 3 to see which option gives y between 2 and 3

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 2 and 3..

Let us substitute the value of x as 3 to see which option gives y between 2 and 3

Hi,

There is a clerical mistake it should be between 1 and 2 and not between 2 & 3.

As we need to find the lines intersecting between (3,1) & (3,2)

_________________

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Re: Which of the following lines intersects the vertical line x
[#permalink]
21 Dec 2018, 10:46

A and C are the only times when putting x=3 gives y between 1 to 2

Re: Which of the following lines intersects the vertical line x
[#permalink]
23 Jan 2019, 06:21

chetan2u wrote:

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 2 and 3.

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 2 and 3.

A typo -------------- should be between 1 and 2

Re: Which of the following lines intersects the vertical line x
[#permalink]
04 May 2023, 03:44

Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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