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Circle C and Line k lie in the xy-plane. If circle C is

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Director
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Circle C and Line k lie in the xy-plane. If circle C is [#permalink]

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New post 25 Jul 2009, 12:19
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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 than 1.

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

Source: GMATPrep

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Re: Circle C and Line K [#permalink]

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New post 25 Jul 2009, 18:19
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bigoyal wrote:
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 than 1.

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

Source: GMATPrep



I think both statement are not sufficient

by the data given, we can write the line k as y = -x/10+c ; if y = 0, then x = 10C >1, so C can take any value > 1/10. the conclusion for line intercepts the circle or not depends on value of c which cant be determined.

guess this is correct :?: :roll:
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Re: Circle C and Line K [#permalink]

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New post 25 Jul 2009, 22:27
Hi alwynjoseph, yes E is the correct answer.

Thanks for your explanation :) . I think, I badly need to work out my coordinate geometry concepts.
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Re: Circle C and Line K [#permalink]

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New post 27 Jul 2009, 03:21
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bigoyal wrote:
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 than 1.

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

Source: GMATPrep



IMO it should be E

1. It only tells us that X intercept is greater than 1 which means the line might and might not intersect the circle ( as shown in figure) Hence insuff.

2. This is also insuff as it only tells us that line is slanting downwards from left to right ( as slope is -ve) but doesn't tell anything else.

Even we combine 1 and 2, they are still insuff because we cant the equation of the line, we only know that x= -c/m or 10c.

I hope this helps !

cheers
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Re: Circle C and Line K [#permalink]

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New post 27 Jul 2009, 03:23
nitishmahajan wrote:
bigoyal wrote:
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 than 1.

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

Source: GMATPrep



IMO it should be E

1. It only tells us that X intercept is greater than 1 which means the line might and might not intersect the circle ( as shown in figure) Hence insuff.

2. This is also insuff as it only tells us that line is slanting downwards from left to right ( as slope is -ve) but doesn't tell anything else.

Even we combine 1 and 2, they are still insuff because we cant the equation of the line, we only know that x= -c/m or 10c.

I hope this helps !

cheers



One more point to add we would know the y intercept, we could have calculated whether the line intersects the circle.

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This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Re: Circle C and Line K   [#permalink] 27 Jul 2009, 03:23
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