GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 17 Jun 2019, 00:47

### 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

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

# In the coordinate plane, Line H has a positive slope, and Line J never

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 55631
In the coordinate plane, Line H has a positive slope, and Line J never  [#permalink]

### Show Tags

21 Aug 2018, 06:18
00:00

Difficulty:

25% (medium)

Question Stats:

72% (01:21) correct 28% (01:35) wrong based on 150 sessions

### HideShow timer Statistics

In the coordinate plane, Line H has a positive slope, and Line J never passes through the first quadrant. Which of the following could be true?

I. line J is perpendicular to line H
II. line J is parallel to line H
III. line J intersects line H on the x-axis

A. I only
B. II only
C. I and III only
D. II and III only
E. I, II, and III

_________________
Math Expert
Joined: 02 Aug 2009
Posts: 7743
Re: In the coordinate plane, Line H has a positive slope, and Line J never  [#permalink]

### Show Tags

21 Aug 2018, 07:24
Bunuel wrote:
In the coordinate plane, Line H has a positive slope, and Line J never passes through the first quadrant. Which of the following could be true?

I. line J is perpendicular to line H
II. line J is parallel to line H
III. line J intersects line H on the x-axis

A. I only
B. II only
C. I and III only
D. II and III only
E. I, II, and III

Line H will always pass through quadrant I

I. J is perpendicular to H..
Yes possible as J will have negative slope and can be made in a way that it does not cross quadrant I..
II. J is parallel to H.
No then J too will have positive slope and will pass through quadrant I
III. Line J intersects H on X axis.
Yes possible. J and H can cross on negative x..

So I and III are possible

C
_________________
CEO
Joined: 12 Sep 2015
Posts: 3777
Re: In the coordinate plane, Line H has a positive slope, and Line J never  [#permalink]

### Show Tags

19 Oct 2018, 11:17
1
Top Contributor
Bunuel wrote:
In the coordinate plane, Line H has a positive slope, and Line J never passes through the first quadrant. Which of the following could be true?

I. line J is perpendicular to line H
II. line J is parallel to line H
III. line J intersects line H on the x-axis

A. I only
B. II only
C. I and III only
D. II and III only
E. I, II, and III

GIVEN: Line J never passes through the first quadrant
This means line J has a NEGATIVE slope, AND line J has a negative y-intercept (see below for an example of how line J might look)

I. line J is perpendicular to line H
POSSIBLE (see diagram below)

II. line J is parallel to line H
We know that line J has a NEGATIVE slope and we're told that line H has a POSITIVE slope.
In order for two lines to be parallel, their slopes must be equal.
Since a NEGATIVE slope can never equal a POSITIVE slope, statement II is NOT possible.

III. line J intersects line H on the x-axis
POSSIBLE (see diagram below)

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Re: In the coordinate plane, Line H has a positive slope, and Line J never   [#permalink] 19 Oct 2018, 11:17
Display posts from previous: Sort by