Identify the quadrant in which the point (1,−1) is located. Select the correct answer below: Quadrant I Quadrant II Quadrant III   Quadrant IV

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 2E: Give the coordinates of each point A, B, C, D, and E. Also name the quadrant in which each point...
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Identify the quadrant in which the point (1,−1) is located.

Select the correct answer below:

Quadrant I

Quadrant II

Quadrant III
 
Quadrant IV
Expert Solution
Step 1

In order to check weather point lies in which quadrant, we need to check signs of coordinates.

Let us consider given point is (x,y).

  • (x,y) lies in first quadrant if both x and y are positive numbers.
  • (x,y) lies in second quadrant if x  is negative number and y is positive number.
  • (x,y) lies in third quadrant if both x and y are negative numbers.
  • (x,y) lies in fourth quadrant if x is positive number and y is negative number.
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