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What are the equations of the two parallel lines shown here?

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shanmugamgsn
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What are the equations of the two parallel lines shown here? [#permalink] New post   05 Jan 2013, 21:41
11
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00:00
A
B
C
D
E

Difficulty:

55% (hard)

Question Stats:

54% (01:21) correct 46% (01:27) wrong based on 145 sessions
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Attachment:
screen_shot_cordinate_geometry.png
screen_shot_cordinate_geometry.png [ 41.68 KiB | Viewed 3549 times ]


What are the equations of the two parallel lines shown here?

(1) Point A has coordinates (0,2)

(2) Point B has coordinates (-3,0)

Show Spoiler
Why not C?
Using Point A and B, equation of line joining both points can be found, finally slope ( say m)
We know that line is perpendicular with those parallel lines. (So slope of these lines will be -1/m)
Using one Point A and slope (-1/m) we can derive equation
Like wise, Point B can be done.


Please explain
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E
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MacFauz
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Re: What are the equations of the two parallel lines shown here? [#permalink] New post   05 Jan 2013, 22:22
shanmugamgsn wrote:
Attachment:
screen_shot_cordinate_geometry.png


What are the equations of the two parallel lines shown here?

(1) Point A has coordinates (0,2)

(2) Point B has coordinates (-3,0)

Show Spoiler
Why not C?
Using Point A and B, equation of line joining both points can be found, finally slope ( say m)
We know that line is perpendicular with those parallel lines. (So slope of these lines will be -1/m)
Using one Point A and slope (-1/m) we can derive equation
Like wise, Point B can be done.


Please explain

Do we know that the line joining points A and B is perpendicular to these parallel lines??... The figure suggests so, however, there is no mention of that in the question statement.. We cannot determine that this line is perpendicular...
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PrashantPonde
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Re: What are the equations of the two parallel lines shown here? [#permalink] New post   05 Jan 2013, 22:26
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The diagram given in the problem is deceiving. You assumed the line AB is perpendicular to those parallel lines, however those parallel line can have any slope. Check below diagram.

Coordinates of A & B does not help to find out the slope of parallel lines.
Hence the correct answer choice is (E)

Attachment:
Parallel Lines.jpg
Parallel Lines.jpg [ 86.23 KiB | Viewed 3523 times ]
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shanmugamgsn
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Re: What are the equations of the two parallel lines shown here? [#permalink] New post   05 Jan 2013, 23:25
Yes MacFauz and PraPon.
You guys are right!!!!

There is no assurance those two point need to be perpendicular neither slope needs to be same ...
I was fooled with diagram!! :oops:
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Re: What are the equations of the two parallel lines shown here? [#permalink] New post   06 Jan 2013, 01:16
Expert Reply
shanmugamgsn wrote:
Attachment:
screen_shot_cordinate_geometry.png


What are the equations of the two parallel lines shown here?

(1) Point A has coordinates (0,2)

(2) Point B has coordinates (-3,0)

Show Spoiler
Why not C?
Using Point A and B, equation of line joining both points can be found, finally slope ( say m)
We know that line is perpendicular with those parallel lines. (So slope of these lines will be -1/m)
Using one Point A and slope (-1/m) we can derive equation
Like wise, Point B can be done.


Please explain


Similar question to practice: lines-k-and-m-are-parallel-to-each-other-is-the-slope-of-100447.html
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Re: What are the equations of the two parallel lines shown here? [#permalink] New post   26 Nov 2019, 05:27
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Re: What are the equations of the two parallel lines shown here? [#permalink]
26 Nov 2019, 05:27
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