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# In the Cartesian XY-plane, the three vertices of a square are represen

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Math Expert
Joined: 02 Sep 2009
Posts: 58335
In the Cartesian XY-plane, the three vertices of a square are represen  [#permalink]

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16 Oct 2018, 04:54
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Difficulty:

45% (medium)

Question Stats:

63% (01:39) correct 37% (01:24) wrong based on 49 sessions

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In the Cartesian XY-plane, the three vertices of a square are represented by points (a, b), (a, −b) and (−a, −b). If a < 0 and b > 0, which of the following points is in the same quadrant as the fourth vertex point of the square?

(A) (−2, −6)
(B) (−2, 6)
(C) (2, −6)
(D) (6, −2)
(E) (6, 2)

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Re: In the Cartesian XY-plane, the three vertices of a square are represen  [#permalink]

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16 Oct 2018, 05:03
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Bunuel wrote:
In the Cartesian XY-plane, the three vertices of a square are represented by points (a, b), (a, −b) and (−a, −b). If a < 0 and b > 0, which of the following points is in the same quadrant as the fourth vertex point of the square?

(A) (−2, −6)
(B) (−2, 6)
(C) (2, −6)
(D) (6, −2)
(E) (6, 2)

If a < 0 and b > 0

then , Point (a, b) = (-ve, +ve) = II quadrant
Point (a, −b) = (-ve, -ve) = III quadrant
and (−a, −b) = (+ve, -ve) = IV quadrant

i.e. forth point must be in Ist Quadrant

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Re: In the Cartesian XY-plane, the three vertices of a square are represen   [#permalink] 16 Oct 2018, 05:03
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