Which of the following pairs of coordinates corresponds to a point in : Problem Solving (PS)

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Which of the following pairs of coordinates corresponds to a point in

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Math Expert

Joined: 02 Sep 2009

Posts: 53061

Which of the following pairs of coordinates corresponds to a point in [#permalink]

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04 Feb 2019, 03:07

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Difficulty:

25% (medium)

Question Stats:

64% (01:15) correct

36% (01:42) wrong

based on 21 sessions

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Which of the following pairs of coordinates corresponds to a point in the shaded region of the graph shown above?

A. \((9, −7)\)

B. \((−9, −7)\)

C. \((9, 7)\)

D. \((7, −9)\)

E. \((−7, −9)\)

Spoiler: ::

Attachment:

#GREpracticequestion Which of the following pairs of coordinates.jpg [ 17.39 KiB | Viewed 262 times ]

Spoiler: OA

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Re: Which of the following pairs of coordinates corresponds to a point in [#permalink]

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04 Feb 2019, 03:19

Two points..
(I) Shaded region is in the quadrant where x>0 and y<0..
so only (9,-7) and (7,-9) are left.

Now the line passes through (10,10) and (0,0), so all points on line have x=y..
the slope is lesser in the shaded region, that is above the line.. Here the value of y should be lesser than the numeric value of x without the sign..
So |9|>|-7| so A

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Re: Which of the following pairs of coordinates corresponds to a point in [#permalink]

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04 Feb 2019, 04:29

Bunuel wrote:

Spoiler: ::

Attachment:

#GREpracticequestion Which of the following pairs of coordinates.jpg

Point 1: The shaded region is in IVth Quadrant i.e. x-coordinate must be +ve and Y-coordinate must be -ve

i.e. Option B, C and E REJECTED

Point 2: For any point in the shaded region above the line shown (with slope -1), IxI > IyI

ie.. Option A is correct answer
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