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# Take graph A, described by the equation ? 2 + ? 2 = 8 and graph B, d

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Intern
Joined: 21 Mar 2018
Posts: 1
Take graph A, described by the equation ? 2 + ? 2 = 8 and graph B, d [#permalink]

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23 Mar 2018, 15:39
00:00

Difficulty:

45% (medium)

Question Stats:

67% (00:57) correct 33% (01:32) wrong based on 9 sessions

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Take graph A, described by the equation x^2 + y^2 = 8 and graph B, described by xy = 1. In how
many points do graph A and graph B intersect?
a. 0
b. 1
c. 2
d. 3
e. 4
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Aug 2009
Posts: 5776
Re: Take graph A, described by the equation ? 2 + ? 2 = 8 and graph B, d [#permalink]

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23 Mar 2018, 19:51
1
KUDOS
Expert's post
infamousinsan wrote:
Take graph A, described by the equation x^2 + y^2 = 8 and graph B, described by xy = 1. In how
many points do graph A and graph B intersect?
a. 0
b. 1
c. 2
d. 3
e. 4

$$X^2+Y^2=8$$ will give you a circle with radius $$\sqrt{8}$$ centered at origin
xy=1 will give you two hyperbolas, one when both are positive and one when both are negative..
these hyperbolas will intersect at 4 points..
E
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Re: Take graph A, described by the equation ? 2 + ? 2 = 8 and graph B, d   [#permalink] 23 Mar 2018, 19:51
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