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What are the equations of the two parallel lines shown here? [#permalink]
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05 Jan 2013, 21:41
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49% (01:06) wrong based on 98 sessions
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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) 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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Re: What are the equations of the two parallel lines shown here? [#permalink]
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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) 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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Re: What are the equations of the two parallel lines shown here? [#permalink]
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05 Jan 2013, 22:26
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 [ 86.23 KiB  Viewed 1495 times ]
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Re: What are the equations of the two parallel lines shown here? [#permalink]
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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!!
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Re: What are the equations of the two parallel lines shown here? [#permalink]
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