Consider all points (x, y) where x and y are each chosen from -1, 0, 1. How many of these points lie strictly inside a quadrant (i.e. not on either axis)?

Question

Accepted Answer

4. A point lies in a quadrant only when neither coordinate is 0. So x is from -1, 1 (2 choices) and y is from -1, 1 (2 choices), giving 2 x 2 = 4 points: (1,1), (1,-1), (-1,1), (-1,-1).

Consider all points $(x, y)$ where $x$ and $y$ are each chosen from {-1, 0, 1}.
How many of these points lie strictly inside a quadrant (i.e. not on either axis)?

Step-by-Step Solution

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More Class 9 The Cartesian Plane practice

Consider all points (x,y) where x and y are each chosen from {-1, 0, 1}.How many of these points lie strictly inside a quadrant (i.e. not on either axis)?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 The Cartesian Plane practice

Consider all points $(x, y)$ where $x$ and $y$ are each chosen from {-1, 0, 1}.
How many of these points lie strictly inside a quadrant (i.e. not on either axis)?