coordinate geometry question from powerprep

[shrutib]

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 k is greater than 1.
2. the slope of k is -1/10

Please explain with little background with coordinate geometry. I am little weak in that.

Thank you

[GMATGuruNY]

Many slope questions can be solved by DRAWING. Check my post here:

https://www.beatthegmat.com/gmat-prep-q- ... 77939.html

[Anurag@Gurome]

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 k is greater than 1.
2. the slope of k is -1/10

Please explain with little background with coordinate geometry. I am little weak in that.

Thank you

(1) The x-intercept of line K is greater than 1 implies that the x-intercept of line K is towards the right of circle C but this does not imply if line K intersects circle C; NOT sufficient.

(2) The slope of line K is -1/10 implies line K goes down left to right, but again this does not imply if line K intersects circle C; NOT sufficient.

Combining (1) and (2), we do not know the exact intercept of line K, and we cannot find if line K intersects circle C or not; NOT sufficient.

The correct answer is E.