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Circle C and line K lie in the xy-plane. If circle C is

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vrajesh.dave
 Post subject: Circle C and line K lie in the xy-plane. If circle C is
 Post Posted: Thu Oct 15, 2009 12:47 am 
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Course Students


Posts: 31
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 the line K is greater than 1.

(2) The slope of line K is -(1/10)


OA: E

Statement 1: insufficient. Since we do not know the slope of the line we cannot really tell if the line is a tangent or if it intersects the circle.

Statement 2: Insufficient. Since we do not know the points of intersection with x or y axis.

Both: We know the slope and point of intersection.

Hence can tell if the line is intersecting the circle or not. Am i missing something there. Since we need to know atleast two things about a line -- points, slope or equation. We know the slope, and the x intercept.
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papa.baffour
 Post subject: Re: Circle C and line K lie in the xy-plane. If circle C is
 Post Posted: Thu Oct 15, 2009 4:44 pm 
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Course Students


Posts: 7
Is this a question or are you answering it?

Statement 2 doesn't give you a the X intercept-- it only tells you that the x intercept is greater than 1. It could be any number greater than 1.
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anoo.anand
 Post subject: Re: Circle C and line K lie in the xy-plane. If circle C is
 Post Posted: Tue Oct 20, 2009 11:59 am 
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Students


Posts: 73
Answer is E.

You can have multiple which could intersect circle or may not.

sinc x intercept is > 1 means u can draws infinite lines .
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RonPurewal
 Post subject: Re: Circle C and line K lie in the xy-plane. If circle C is
 Post Posted: Sat Oct 24, 2009 8:15 am 
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ManhattanGMAT Staff


Posts: 7146
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