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.
Difficult Question. Co Ordinate Geometry
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- The Iceman
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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.
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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