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

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

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New post 16 Dec 2019, 02:23
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A
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C
D
E

Difficulty:

  65% (hard)

Question Stats:

42% (01:41) correct 58% (01:38) wrong based on 25 sessions

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Re: In the xy plane, does line L intersect with circle R?  [#permalink]

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New post 16 Dec 2019, 19:52
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)
Just talks of circle and nothing about line

(2) Line L passes through point (0,-1) and intersects with axis-X.
Talks of line but nothing about circle

combined
See the attached figure.
we can draw various circles as shown.
1) When the majority of the circle is above x-axis..
RED circle and line l cross, but as we increase the size of circle, the blue circle and line l do not cross. We can make an infinitely large circle where the circle would cross the y-axis at almost origin.
2) When we draw the majority of circle below the x-axis, invariable answer will be yes.

As we can see in case 1, the possible answers are both yes and no, insuff

E
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linel.png
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Re: In the xy plane, does line L intersect with circle R?   [#permalink] 16 Dec 2019, 19:52
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