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Lines a and b have different y-intercepts. When line a is

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Lines a and b have different y-intercepts. When line a is [#permalink] New post 19 Jun 2011, 07:04
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46% (02:05) correct 54% (01:09) wrong based on 35 sessions
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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Re: Coordinate Geometry Problem [#permalink] New post 19 Jun 2011, 08:54
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guygmat wrote:
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.



line a = y =mx+b
line b = y = nx+c

now in case a line reflects, its slope changes sign and Y intercept remains same
so relected a = y= -mx+b

now the question asks is -m =n ( parallel lines will have same slope)

st1. -m*n = -1
m = 1 and n = 1 ... satisfies our condition
m = 1/3 and n = 3 ; -m*n = -1 but -m is not equal to n ... hence in sufficient

st2: n>0
same as above... insufficient

1&2
m = 1 n =1 ok
m = 1/3 and n = 3 not ok

hence E
Re: Coordinate Geometry Problem   [#permalink] 19 Jun 2011, 08:54
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Lines a and b have different y-intercepts. When line a is

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