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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # In the xy-plane, which of the following points is the greate  Question banks Downloads My Bookmarks Reviews Important topics
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In the xy-plane, which of the following points is the greate [#permalink]
Expert's post 00:00

Question Stats: 100% (00:47) correct 0% (00:00) wrong based on 4 sessions
In the xy-plane, which of the following points is the greatest distance from the origin?

(A) (0, 3)
(B) (1, 3)
(C) (2, 1)
(D) (2, 3)
(E) (3, 0)

Kudos for the right answer and explanation
[Reveal] Spoiler: OA

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GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests. Moderator Joined: 16 Sep 2019
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Kudos [?]: 165  , given: 5

Re: In the xy-plane, which of the following points is the greate [#permalink]
1
KUDOS
In an xy-plane, the distance between the origin (0,0) and (x,y) is $$\sqrt{(x-0)^2 + (y-0)^2} = \sqrt{x^2 + y^2}$$

Option A and E have the same distance = $$\sqrt{3^2} = 3$$

Option B = $$\sqrt{1^2 + 3^2} = \sqrt{10}$$

Option C = $$\sqrt{2^2 + 1^2} = \sqrt{5}$$

Option D = $$\sqrt{2^2 + 3^2} = \sqrt{13}$$

Since $$10 > 3^2$$, $$\sqrt{10} > 3$$
and $$\sqrt{13} > \sqrt{10}$$

OA, D
Carcass wrote:
In the xy-plane, which of the following points is the greatest distance from the origin?

(A) (0, 3)
(B) (1, 3)
(C) (2, 1)
(D) (2, 3)
(E) (3, 0)

Kudos for the right answer and explanation

_________________

If you like my solution, do give kudos! Re: In the xy-plane, which of the following points is the greate   [#permalink] 28 Jun 2020, 10:36
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