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Difficult Question. Co Ordinate Geometry

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by Chitturi » Sat Feb 09, 2013 9:52 am
Lines a and b have different y-intercepts. When line a is reflected around the y-axis, is its reflection parallel to line b?

(1) Line a is perpendicular to line b.

(2) The slope of line b > 0.
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Source: — Data Sufficiency |
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by The Iceman » Sat Feb 09, 2013 10:59 pm
Statement 1 : Despite line a being perpendicular to line b, we may have a case (suppose when a and b make 45 degrees angle with the y axis)in which reflection of a is parallel to b and other cases in which reflection of a is not parallel to b.

So, not sufficient.

Statement 2 is not sufficient in itself.

Even if we combine both these statements, we cannot ascertain whether the reflection is for sure parallel to line b.

Hence, option E is the right choice.
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by aditya8062 » Thu Feb 21, 2013 5:41 am
my take is E .it can be solved by simple graphs
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