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The center of a circle is (10, –3). The point (10, 9) is outside the

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Joined: 02 Sep 2009
Posts: 55670
The center of a circle is (10, –3). The point (10, 9) is outside the  [#permalink]

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New post 11 Oct 2018, 03:03
1
8
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

71% (01:57) correct 29% (02:17) wrong based on 115 sessions

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Joined: 06 Sep 2018
Posts: 174
Location: Pakistan
Concentration: Finance, Operations
GPA: 2.87
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Re: The center of a circle is (10, –3). The point (10, 9) is outside the  [#permalink]

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New post 11 Oct 2018, 03:19
as the point (10,9) is outside the circle and point (6,3) is inside the circle so max value of radius will be difference in y coordinate value. so max. radius=9-(-3)=9+3=12
as point (10,-3) can't be on the circle so max radius will be 11.999...
and minimum value of radius will be 10-5.9=4.1
so total values of radius are in between 4.1 and 11.9 = 7 values

Answer is A
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Re: The center of a circle is (10, –3). The point (10, 9) is outside the  [#permalink]

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New post 16 Oct 2018, 12:06
Hi Bunuel,

Could you please post the solution?!

Thanks!
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Re: The center of a circle is (10, –3). The point (10, 9) is outside the  [#permalink]

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New post 28 Dec 2018, 14:17
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plot the coordinates on the graph,
(6,-3) lies inside, so the distance on x axis is 4 so the radius should be more than that r>4

(10,9) lies outside the graph, distance on y is 12( max ) so the radius has to be less than that r<12

so 4<r<12, r can take seven values.
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Re: The center of a circle is (10, –3). The point (10, 9) is outside the   [#permalink] 28 Dec 2018, 14:17
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The center of a circle is (10, –3). The point (10, 9) is outside the

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