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gurpreetsingh
Joined: 12 Oct 2009
Last visit: 15 Jun 2019
Posts: 2,266
Own Kudos:
Given Kudos: 235
Status:<strong>Nothing comes easy: neither do I want.</strong>
Location: Malaysia
Concentration: Technology, Entrepreneurship
Schools: ISB '15 (M)
GMAT 1: 670 Q49 V31
GMAT 2: 710 Q50 V35
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30 Sep 2010, 06:40
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Bunnel:
Suppose we have two lines ax+by+c = 0
and 2ax+2by+2c = 0 and question is- are they parallel? I know both are same lines, but do we can them parallel?
In DS question the answer of- are they parallel should be NO? or Yes.
Suppose we have two lines ax+by+c = 0
and 2ax+2by+2c = 0 and question is- are they parallel? I know both are same lines, but do we can them parallel?
In DS question the answer of- are they parallel should be NO? or Yes.
24 Jul 2012, 02:14
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When I have two points in a coordinate system e.g. (2,3) and (6,7) that pass through a line how do I know which number is x1 and which is x2 when calculating slope. Also, the same for the y1 and y2?
24 Jul 2012, 05:12
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Wonderful! Excellent work!
A small remark at "7. If the slope is 1 the angle formed by the line is 45 degrees."
Angle formed by the line with who?
The slope of a line is a real number equal to the tangent of the angle formed by the line with the positive x axis.
For the GMAT, no need to know about tangent (trigonometry), just to understand which angle we are talking about.
If the angle is acute, the slope (tangent of the angle) is positive. If the angle is obtuse, the slope (tangent of the angle) is negative.
There is a one-to-one correspondence between angles and the real numbers representing their so-called tangent values.
So, a line with slope 1 forms an angle of 45 degrees and a line with slope -1 forms an angle of 135 degrees with the positive x axis.
If the angle is 60 degrees, the slope is \(\sqrt{3}\), and \(-\sqrt{3}\) if the angle is 120 degrees, etc.
A suggestion: wouldn't be better to define the slope somewhere before the equations? I am sure everybody knows what's the slope of a line, just for the coherence.
A small remark at "7. If the slope is 1 the angle formed by the line is 45 degrees."
Angle formed by the line with who?
The slope of a line is a real number equal to the tangent of the angle formed by the line with the positive x axis.
For the GMAT, no need to know about tangent (trigonometry), just to understand which angle we are talking about.
If the angle is acute, the slope (tangent of the angle) is positive. If the angle is obtuse, the slope (tangent of the angle) is negative.
There is a one-to-one correspondence between angles and the real numbers representing their so-called tangent values.
So, a line with slope 1 forms an angle of 45 degrees and a line with slope -1 forms an angle of 135 degrees with the positive x axis.
If the angle is 60 degrees, the slope is \(\sqrt{3}\), and \(-\sqrt{3}\) if the angle is 120 degrees, etc.
A suggestion: wouldn't be better to define the slope somewhere before the equations? I am sure everybody knows what's the slope of a line, just for the coherence.
