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GMAT Prep Q - Circle and Line

Expert replies
by tito1545 » Tue Mar 08, 2011 1:54 pm
Could anyone give me a step by step sol to this problem please .Why is the answer not C instead of E ????

Circle C and line k lie in the xy plane.If circle C is centred at the origin and has a radius 1 , does the line k intersect circle C ?

1.The x intercept of the line k is grater than 1
2.The slope of the line k is -1/10
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Source: — Data Sufficiency |

by GMATGuruNY » Tue Mar 08, 2011 2:33 pm
tito1545 wrote:Could anyone give me a step by step sol to this problem please .Why is the answer not C instead of E ????

Circle C and line k lie in the xy plane. If circle C is centered at the origin and has a radius of 1, does the line k intersect circle C?

1.The x intercept of the line k is greater than 1
2.The slope of the line k is -1/10
X-intercept is greater than 1, slope = -1/10, line k intersects circle C:

Image

X-intercept is greater than 1, slope = -1/10, line k does not intersect circle C:

Image

Thus, the 2 statements combined are insufficient to determine whether line k intersects circle C.

The correct answer is E.
Last edited by GMATGuruNY on Tue Mar 08, 2011 2:41 pm, edited 1 time in total.
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by tito1545 » Tue Mar 08, 2011 2:38 pm
Got it !

Many Thanks
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by shrutib » Wed May 30, 2012 7:06 am
Thank you so much.
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by karthikgmat » Thu Jun 07, 2012 10:06 pm
Mitch, Sorry I was unable to understand your response. Could you elaborate please?
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