In a coordinate system, line l is parallel to line k, does line l intersect the x-axis?
(1) Line k has slope zero.
(2) Point (0, 4) is on line k.
Monday, May 4, 2009
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Answer B
ReplyDeleteanswer C
ReplyDelete(1) y = constant has 0 slope, which is parallel to x axis. l is parallel to x axis. (A) and (D)
ReplyDelete(2) line k intersects with y axis. So, line l intersects with y axis. Nothing abt x-axis.
Answer is A
Answer should be, E.
ReplyDeleteProving that line is parallel to x-axis isn't enough to prove that doesn't intersect x-axis. We need to prove that the line is not co-incident as well.
If two lines are co-incident lines, they intersect each other at all points.
Both (1) & (2) tell us that k is not co-incident with x-axis.
But they don't tell us whether line l is co-incident with x-axis.
Hence, we can't say if l intersects x - axis.
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ReplyDeleteEternity is right
ReplyDelete1: k is parallel to X Aaxis
l maybe co-incident with the X axis.
2: Again it doesnt tell us whether l passes through x axis or not.
1 & 2: K is parallel to the x axis and offset by 4 units. It doesnt tell us anything about l
Answer E
Eternity is v right..:)
ReplyDeletev good explanation
This is a tricky question.The game is hidden in words. Still not sure, which option is correct.
ReplyDelete