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Example Questions
Example Question #1 : Graphing An Ordered Pair
Which quadrants can include the point if nonzero numbers
and
have the same sign?
Either Quadrant I or Quadrant III
Either Quadrant I or Quadrant IV
Either Quadrant I or Quadrant II
Either Quadrant II or Quadrant IV
Either Quadrant II or Quadrant III
Either Quadrant I or Quadrant IV
If and
have the same sign, then
, and the point has a positive
-coordinate. The sign of
is the same as the common sign of
and
. Therefore, only the
-coordinate restricts the possibilities.
The points witn positive -coordinates are in Quadrant I and Quadrant IV.
Example Question #101 : Coordinate Geometry
Which quadrant or axis can include the point ?
The -axis
Quadrant III
Quadrant I
Quadrant IV
Quadrant II
Quadrant I
The ordered pair consists of a positive
-coordinate and a positive
-coordinate. The only quadrant that consists entirely of positive
- and
-coordinates is Quadrant I.
Example Question #1031 : Gmat Quantitative Reasoning
Which quadrant or axis contains the point ?
The -axis
Quadrant III
Quadrant II
The -axis
Quadrant I
The -axis
The ordered pair consists of a positive
-coordinate and a
-coordinate of
. The only part of the coordinate plane on which all points have a zero
-coordinate is the
-axis.
Example Question #102 : Graphing
Which of the following ordered pairs is in Quadrant III?
By definition, only Quadrant III contains ordered pairs that have both negative - and
-coordinates.
Example Question #103 : Graphing
Which quadrant or axis includes the point ?
The -axis
Quadrant IV
Quadrant II
Quadrant III
Quadrant I
Quadrant II
The ordered pair has a negative
-coordinate and a positive
-coordinate. By definition, all ordered pairs with negative
-coordinates and a positive
-coordinates exist in Quadrant II.
Example Question #108 : Graphing
Which quadrant or axis includes the point ?
Quadrant III
The -axis
The -axis
Quadrant I
Quadrant II
The -axis
The ordered pair has a zero
-coordinate and a nonzero
-coordinate. By definition, all ordered pairs with zero
-coordinates and nonzero
-coordinates is on the
-axis.
Example Question #4 : Graphing An Ordered Pair
Which of the following ordered pairs is in Quadrant I?
None of these coordinates
By definition, all ordered pairs with positive -coordinates and positive
-coordinates are in Quadrant I. Therefore, the only ordered pair in this quadrant is
.
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