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A circle with center O and radius 5 is shown in the xy-plane

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Joined: 13 Dec 2013
Posts: 172

Kudos [?]: 26 [0], given: 122

Location: United States (NY)
Concentration: Nonprofit, International Business
GMAT 1: 710 Q46 V41
GMAT 2: 720 Q48 V40
GPA: 4
WE: Consulting (Consulting)
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Re: A circle with center O and radius 5 is shown in the xy-plane [#permalink]

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New post 01 Apr 2017, 13:35
Bunuel wrote:
violetsplash wrote:
A circle with center O and radius 5 is shown in the xy-plane. Lines that intersect the circle in 2 points include which of the following ?

I. y = -x +1
II. y = 2x + 1
III. y = (1/2)x - 6

a) I only
b) II Only
c) I and II Only
d) I and III only
e) I, II and III

Please see the attached picture


Check the diagram below:
Attachment:
graph.png
Answer: C.


Is there a risk here of not graphing accurately enough. To confirm the answer can we put the equation of the circle equal to the equation of the line and see if there are any values?

x^2+y^2=5
y = (1/2)x - 6
y^2=[(1/4)x^2]-36
x^2-{[(1/4)x^2]-36} = 5
3/4(x^2)+36=5
3/4(x^2)=-29
3/4(x^2)=-29
So x is square of a -ve number = no solutions.

Kudos [?]: 26 [0], given: 122

Re: A circle with center O and radius 5 is shown in the xy-plane   [#permalink] 01 Apr 2017, 13:35
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A circle with center O and radius 5 is shown in the xy-plane

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