Coordinate Geometry

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deepak123gmat: Senior | Next Rank: 100 Posts; Posts: 30; Joined: Wed Oct 06, 2010 11:33 pm

Coordinate Geometry

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: Beat The GMAT — Data Sufficiency | Fri Oct 08, 2010 5:13 am

gig92: Senior | Next Rank: 100 Posts; Posts: 78; Joined: Fri Jul 23, 2010 2:22 am; Thanked: 2 times; Followed by:1 members

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