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Coordinate Geometry

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by deepak123gmat » Fri Oct 08, 2010 5:13 am
Circle C and line K lie in the XY-plane. If circle C is centered at the origin and has radius 1, does line K intersect circle C.
1) The X-intercept of line K is greater than 1.
2) The slope of line K is -1/10
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Source: — Data Sufficiency |
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by gig92 » Fri Oct 08, 2010 5:30 am
deepak123gmat wrote:Circle C and line K lie in the XY-plane. If circle C is centered at the origin and has radius 1, does line K intersect circle C.
1) The X-intercept of line K is greater than 1.
2) The slope of line K is -1/10
Ans:
1) line can pass through x-axis at any point greather than 10! not sufficient
2) only the slope is known, no idea where the line could intersect x or y -axis

From 1) and 2) we still get no idea of (x,y) where the line could intersect the circle!

Thus, E
gig92
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by deepak123gmat » Fri Oct 08, 2010 5:47 am
How the line with x-intercept 1.1 and slope -1/10 would be?
Exactly does what information slop give?
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by Yanat » Sat Oct 09, 2010 12:31 am
I feel it is E.
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