In the rectangular coordinate system, if line l is parallel to one of the axes, does line contain the point (4, 5) ?
(1) Line l contains the point (4, -5).
(2) Line l crosses the x-axis.
OA C
Source: e-GMAT
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In the rectangular coordinate system, if line l is parallel to one of the axes, does line contain the point (4, 5)?
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BTGmoderatorDC
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(1) Line \(l\) contains the point \((4, -5).\)BTGmoderatorDC wrote: ↑Tue Nov 23, 2021 6:44 pmIn the rectangular coordinate system, if line l is parallel to one of the axes, does line contain the point (4, 5) ?
(1) Line l contains the point (4, -5).
(2) Line l crosses the x-axis.
OA C
Source: e-GMAT
Then, there are \(2\) possibilities
i) line is parallel to \(y\)-axis
ii) line is parallel to \(x\)-axis
So, no sufficient. \(\Large{\color{red}\chi}\)
(2) Line \(l\) crosses the \(x\)-axis.
That means the line is parallel to \(y\)-axis, but we cannot say if the line \(l\) contains point \((4,5)\)
So, not sufficient. \(\Large{\color{red}\chi}\)
By combining both, we can say line \(l\) contains point \((4,5).\) \(\Large{\color{green}\checkmark}\)
Therefore, C
