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In the coordinate plane, Line H has a positive slope, and Line J never
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25 Mar 2021, 03:18
25 Mar 2021, 03:18
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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
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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In the coordinate plane, Line H has a positive slope, and Line J never
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25 Mar 2021, 04:34
25 Mar 2021, 04:34
Carcass 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
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 has a positive slope i.e. the line goes up from left to right
Line J never passes through the first quadrant i.e. the line goes down through II, III and IV quadrant or through origin and would have a -ve slope
I. line J is perpendicular to line H - Yes could be
They can be perpendicular in III quadrant (Let's say)
II. line J is parallel to line H - No
They can never be parallel - as parallel lines have same slope. Here, we have once +ve slope and other one -ve slope
III. line J intersects line H on the x-axis - Yes could be
They could meet on x-axis (left of the origin)
Hence, option C
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Re: In the coordinate plane, Line H has a positive slope, and Line J never
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25 Mar 2021, 07:20
25 Mar 2021, 07:20
1
Carcass 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
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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)
Answer: C
Cheers,
Brent
