All GMAT Math Resources
Example Questions
Example Question #21 : How To Graph An Ordered Pair
Which quadrants can include the point if nonzero numbers and have the same sign?
Either Quadrant I or Quadrant II
Either Quadrant II or Quadrant III
Either Quadrant I or Quadrant III
Either Quadrant I or Quadrant IV
Either Quadrant II or Quadrant IV
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 #192 : Advanced Geometry
Which quadrant or axis can include the point ?
The -axis
Quadrant IV
Quadrant III
Quadrant I
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 #3 : Graphing An Ordered Pair
Which quadrant or axis contains the point ?
Quadrant II
The -axis
Quadrant I
The -axis
Quadrant III
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 #1 : Graphing An Ordered Pair
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 #2 : Graphing An Ordered Pair
Which quadrant or axis includes the point ?
The -axis
Quadrant IV
Quadrant I
Quadrant III
Quadrant II
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 #3 : 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 .