GMAT Prep- Line problem

Question

Can some one explain the below question? I forgot to capture the answer!

bhatiagp · Answer

Given it is circle, of radius 1

1) x intercept > 1 means line will not intecept circle on c axis. But it can still intercept on y axis. Nothing can be said . Hence not A, D
2) Slope is = -1/10 , doesnt give much input on coordinates of the line. Hence irrelevant without the coordinates.Not B

Together , nothing can be perceived . Hence not C

Ans : E

abhitheCEO · Answer

The answer should be C because if slope of line and X intercept is known, one can uniquely locate the line on plane and find out if it is intersecting the circle.

buffdaddy · Answer

slope of the line is known but the intercept > 1 so the precise intercept isn't known.

E

marshpa · Answer

Ans is C.
slope of line = intercept on y axis/intercept on x axis.
By 1 we know the slope on the x axis, using this and by 2 we know the intercept on y axis. Means this line will surely intercept the circle.

saurabhkowley18 · Answer

The answer should be C.
But i don't think the line will intersect the circle .....

Sunny143 · Answer

From 1, we know x intercept is >1, but the line could still intercept depending on y intercept and slope. Mathematically -c/m>1

From 2: m = -1/10

1+2: c>1/10

So, when c = 2/101, it wont intercept as the x intercept is already >1.

E camp...

GMAT Prep- Line problem

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