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by clinton » Mon May 30, 2011 3:37 am
COuld someone help me with the below Data sufficiency question? Also, could you explain how to attack questions dealng with Equations of lines in general?

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 then 1.

2.) The slope of line k is -1/10
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Source: — Data Sufficiency |
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by cans » Mon May 30, 2011 3:56 am
let line k=> y=mx+c. Here m is slope and c is the y-intercept. x-intercept = -c/m
To find if k intersects C (a circle with center (0,0) and radius 1)
1) x-intercept>1 => -c/m >1
using only this we can't find whether it intersects or not.

2)m=-1/10
again, this is insufficient.
Both together, c>1/10 and m=-1/10 not sufficient.
IMO E
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by sourabh33 » Mon May 30, 2011 4:35 am
IMO, a visual interpretation could be quick and confirming.


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