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# In the xy plane, does line L intersect with circle R?

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Manager
Joined: 22 Nov 2014
Posts: 60
In the xy plane, does line L intersect with circle R?  [#permalink]

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12 May 2016, 18:53
3
00:00

Difficulty:

65% (hard)

Question Stats:

51% (01:54) correct 49% (01:27) wrong based on 90 sessions

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In the xy plane, does line L intersect with circle R?

1. Circle R intersects with axis X at point (-5,0) and (5,0)
2. Line L passes through point (0,-1) and intersects with axis-X.

I am getting a (c). Kindly help!
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Re: In the xy plane, does line L intersect with circle R?  [#permalink]

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12 May 2016, 21:33
2
Hi,

As the question have both line L and C but statement 1 is on only C and statement 2 is only on L hence answer can not come by either of the statements alone so A,B and D are ruled out.

Now suppose that
Case1:slope of the line is 1 degree in that case it will intersect x axis but very very far
Case2: if degree is 89 it will intersect nearby.

Now suppose that circle is very very big such that only its tip passes through the two points mentioned in statement 1. So in case 1 L will not intersect with C and in case 2 it will, hence the information is not sufficient to come to a conclusion.
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Re: In the xy plane, does line L intersect with circle R?  [#permalink]

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10 Oct 2016, 04:26
ruchi857 wrote:
In the xy plane, does line L intersect with circle R?

1. Circle R intersects with axis X at point (-5,0) and (5,0)
2. Line L passes through point (0,-1) and intersects with axis-X.

I am getting a (c). Kindly help!

Experts...

thanks
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Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3614
In the xy plane, does line L intersect with circle R?  [#permalink]

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10 Oct 2016, 04:43
rohit8865 wrote:
ruchi857 wrote:
In the xy plane, does line L intersect with circle R?

1. Circle R intersects with axis X at point (-5,0) and (5,0)
2. Line L passes through point (0,-1) and intersects with axis-X.

I am getting a (c). Kindly help!

Experts...

thanks

Let me try helping you out.

Statement 1 and 2 alone are clearly insufficient as we donot have the information about both circle and line individually.

Combining the two statements, I won't say a lot here. Just see the two diagrams below, you will understand why the answer is E.

Diagram on the left says YES to the question and Diagram on the right says NO to the question. Hence, two answers even after combining, Answer is E.
P.S. : Sorry for a bad drawing. I made it very quickly.
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In the xy plane, does line L intersect with circle R?  [#permalink]

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10 Oct 2016, 04:47
abhimahna wrote:
rohit8865 wrote:
ruchi857 wrote:
In the xy plane, does line L intersect with circle R?

1. Circle R intersects with axis X at point (-5,0) and (5,0)
2. Line L passes through point (0,-1) and intersects with axis-X.

I am getting a (c). Kindly help!

Experts...

thanks

Let me try helping you out.

Statement 1 and 2 alone are clearly insufficient as we donot have the information about both circle and line individually.

Combining the two statements, I won't say a lot here. Just see the two diagrams below, you will understand why the answer is E.

P.S. : Sorry for a bad drawing. I made it very quickly.

Although line in fig 2 is not intersecting x axis as stated in (2)..but i got your point of reasoning
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Re: In the xy plane, does line L intersect with circle R?  [#permalink]

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10 Oct 2016, 04:54
1
rohit8865 wrote:

Although line in fig 2 is not intersecting x axis as stated in (2)..but i got your point of reasoning

Yeah, as I said I made the diagram hurriedly I missed that point. Anyways I have corrected the diagram above. Please check once.
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Re: In the xy plane, does line L intersect with circle R?  [#permalink]

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10 Oct 2016, 05:06
abhimahna wrote:
rohit8865 wrote:

Although line in fig 2 is not intersecting x axis as stated in (2)..but i got your point of reasoning

Yeah, as I said I made the diagram hurriedly I missed that point. Anyways I have corrected the diagram above. Please check once.

abhimahna Indeed u r liable for kudos.....
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Re: In the xy plane, does line L intersect with circle R?  [#permalink]

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19 Jul 2018, 06:37
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Re: In the xy plane, does line L intersect with circle R? &nbs [#permalink] 19 Jul 2018, 06:37
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