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Hussain15
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Concentration: Strategy, General Management
Schools: Stanford '14 (D) Booth '14 (D) Johnson '14 (D)
GMAT 1: 680 Q48 V34
Schools: Stanford '14 (D) Booth '14 (D) Johnson '14 (D)
GMAT 1: 680 Q48 V34
Posts: 1,075
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3,616
09 Jul 2010, 03:37
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If two lines have slopes \(m\) and \(n\) , respectively, are they perpendicular?
1. \(m*n=-1\)
2. \(m=-n\)
I have an issue in OE when explaining the statement 2. From OE shown below one can still answer the question that whether m & n are perpendicular.
I think in OE there should be two examples. First an example of two lines \(y= x+10\) & \(y=-x+10\), here you can see that the lines are parallel as the product of their slope is \(-1\). In second example we can quote \(y=10x\) & \(y=-10x\). Now its make more sense that statement 2 is insufficient.
OE:
Statement (2) by itself is insufficient. We only know that the lines have reciprocal slopes. For example line \(y=10x\) and \(y=-10x\) , are mirror reflections of each other on the x axis, but not perpendicular.
1. \(m*n=-1\)
2. \(m=-n\)
I have an issue in OE when explaining the statement 2. From OE shown below one can still answer the question that whether m & n are perpendicular.
I think in OE there should be two examples. First an example of two lines \(y= x+10\) & \(y=-x+10\), here you can see that the lines are parallel as the product of their slope is \(-1\). In second example we can quote \(y=10x\) & \(y=-10x\). Now its make more sense that statement 2 is insufficient.
OE:
Statement (2) by itself is insufficient. We only know that the lines have reciprocal slopes. For example line \(y=10x\) and \(y=-10x\) , are mirror reflections of each other on the x axis, but not perpendicular.
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09 Jul 2010, 21:14
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Statement-1:
We know that if two lines are perpendicular to each other, their slopes will be negative reciprocal to each other.
So here m*n= -1 => m = -1/n (Hence SUFFICIENT)
Statement-2:
m=-n
They can be negative reciprocal for some numbes(like 1) but not for others.(Hence NOT SUFFICIENT)
Ans : A
OA?
We know that if two lines are perpendicular to each other, their slopes will be negative reciprocal to each other.
So here m*n= -1 => m = -1/n (Hence SUFFICIENT)
Statement-2:
m=-n
They can be negative reciprocal for some numbes(like 1) but not for others.(Hence NOT SUFFICIENT)
Ans : A
OA?
