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Which of the following lines has x-intercept and y-intercept that are

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Which of the following lines has x-intercept and y-intercept that are [#permalink]

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New post 04 Aug 2016, 04:50
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Which of the following lines has x-intercept and y-intercept that are integers?
A. y=3x+1
B. y=√x+1
C. y=-2/x
D. y=x^2-1
E. xy=1

*An answer will be posted in 2 days.
[Reveal] Spoiler: OA

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Re: Which of the following lines has x-intercept and y-intercept that are [#permalink]

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MathRevolution wrote:
Which of the following lines has x-intercept and y-intercept that are integers?
A. y=3x+1
B. y=√x+1
C. y=-2/x
D. y=x^2-1
E. xy=1

*An answer will be posted in 2 days.


IMPORTANT POINT #1: The y-intercept is the point where the x-coordinate is 0
So, let's plug x = 0 into each answer choice.
We get:
A. y= 3(0) + 1 = 1. Integer - KEEP
B. y = √0 + 1 = 1. Integer - KEEP
C. y = -2/0 undefined. ELIMINATE
D. y = 0² - 1 = -1. Integer - KEEP
E. (0)y = 1. When we solve for y, y is undefined. ELIMINATE

We're left with A, B and D
IMPORTANT POINT #2: The x-intercept is the point where the y-coordinate is 0
So, let's plug y = 0 into each answer choice.
We get:
A. 0 = 3x + 1 Solve to get x = -1/3. Not an integer. ELIMINATE
B. 0 = √x + 1 Unsolvable for x. ELIMINATE
D. 0 = x² - 1 x = 1 or -1, Both are integers. KEEP!

Answer:
[Reveal] Spoiler:
D


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Re: Which of the following lines has x-intercept and y-intercept that are [#permalink]

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New post 07 Aug 2016, 17:50
Values that satisfy y=x^2-1 are (x,y)=(-1,0),(1,0),(0,-1). Hence, they are all integers and the correct answer is D.
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Re: Which of the following lines has x-intercept and y-intercept that are [#permalink]

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New post 07 Aug 2016, 22:03
Why is B wrong?

B. y=√x+1

when x equals 0 we get y = 1
when y equals 0 we get sqrt x = - 1 ----> x = 1?

so both x and y intercepts are integers.

MathRevolution wrote:
Values that satisfy y=x^2-1 are (x,y)=(-1,0),(1,0),(0,-1). Hence, they are all integers and the correct answer is D.

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Re: Which of the following lines has x-intercept and y-intercept that are [#permalink]

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New post 07 Aug 2016, 22:33
ameyaprabhu wrote:
Why is B wrong?

B. y=√x+1

when x equals 0 we get y = 1
when y equals 0 we get sqrt x = - 1 ----> x = 1?

so both x and y intercepts are integers.

MathRevolution wrote:
Values that satisfy y=x^2-1 are (x,y)=(-1,0),(1,0),(0,-1). Hence, they are all integers and the correct answer is D.


Also, note that \sqrt{x} is never negative on GMAT. so \sqrt{x} is -1 for no value of x.

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Re: Which of the following lines has x-intercept and y-intercept that are [#permalink]

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New post 07 Aug 2016, 22:42
you mean to say once we reach the stage of √x = - 1, we should not square both sides at all and discontinue solving?

chnarjun wrote:
ameyaprabhu wrote:
Why is B wrong?

B. y=√x+1

when x equals 0 we get y = 1
when y equals 0 we get sqrt x = - 1 ----> x = 1?

so both x and y intercepts are integers.

MathRevolution wrote:
Values that satisfy y=x^2-1 are (x,y)=(-1,0),(1,0),(0,-1). Hence, they are all integers and the correct answer is D.


Also, note that \sqrt{x} is never negative on GMAT. so \sqrt{x} is -1 for no value of x.

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Re: Which of the following lines has x-intercept and y-intercept that are [#permalink]

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[quote="ameyaprabhu"]you mean to say once we reach the stage of √x = - 1, we should not square both sides at all and discontinue solving?

Correct!

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Which of the following lines has x-intercept and y-intercept that are [#permalink]

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New post 14 Aug 2016, 14:39
This is a Incorrect question because there are many options given that don't qualify to be a line or line segment.
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Last edited by RichaChampion on 14 Aug 2016, 19:07, edited 1 time in total.

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Re: Which of the following lines has x-intercept and y-intercept that are [#permalink]

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New post 14 Aug 2016, 19:03
RichaChampion wrote:
This is a super flop question because there are many options given that don't qualify to be a line or line segment.


I'd call them all lines but not STRAIGHT LINES.

Is it the case in GMAT that a line implies a straight line?

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Re: Which of the following lines has x-intercept and y-intercept that are [#permalink]

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New post 14 Aug 2016, 19:09
chnarjun wrote:
RichaChampion wrote:
This is a super flop question because there are many options given that don't qualify to be a line or line segment.


I'd call them all lines but not STRAIGHT LINES.

Is it the case in GMAT that a line implies a straight line?


Really? You also call Parabola a Line?
D. y=x^2-1


The Mathematics THAT I have learned so far lines are default straight in nature. I have never Know a Line that is curvical or conical or perhaps spherical.
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Which of the following lines has x-intercept and y-intercept that are [#permalink]

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New post 14 Aug 2016, 19:14
This is the graph of the equation D. y=x^2-1
i.e. a Parabola not a line -
http://www.mathwarehouse.com/quadratic/ ... _graph.gif

This is the graph of XY=1, which is a Hyperbolic Parabola not a line - http://amsi.org.au/ESA_Senior_Years/ima ... /1b_41.png
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Re: Which of the following lines has x-intercept and y-intercept that are [#permalink]

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New post 15 Aug 2016, 02:31
This question is fundamentally wrong. Only Option A is line, rest all 4 options doesn't qualify even to be a line.
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Re: Which of the following lines has x-intercept and y-intercept that are [#permalink]

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New post 17 Aug 2016, 22:19
RichaChampion

We are sorry for typo on the question.
The question should have been

Which of the following lines or curves has x-intercept and y-intercept that are integers?
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Re: Which of the following lines has x-intercept and y-intercept that are [#permalink]

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New post 17 Aug 2016, 22:34
MathRevolution wrote:
RichaChampion

We are sorry for typo on the question.
The question should have been

Which of the following lines or curves has x-intercept and y-intercept that are integers?


In that case also there are two correct answers in one problem solving question.
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Re: Which of the following lines has x-intercept and y-intercept that are [#permalink]

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Re: Which of the following lines has x-intercept and y-intercept that are [#permalink]

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New post 21 Aug 2017, 06:04
How could a curve be a line? In think either the question is wrong or their is some typo in the question.

The answer IMO is "B"

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Re: Which of the following lines has x-intercept and y-intercept that are   [#permalink] 21 Aug 2017, 06:04
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