Question

What quadrant would $\left(3,2\right)$ be?

Answer 1

Hint: We are given a point in the $\mathbb{R}^2$ plane and we are required to find the quadrant in which $\left(3,2\right)$ belongs. For doing that we will check the sign of the first coordinate and the second coordinate. After checking the sign we will assign the quadrant based on that. We need to be aware about the general form of any point in different quadrants. We have four quadrants and based on the sign of the x-coordinate and y-coordinate, the quadrant is assigned to each point.

Complete step by step solution:
The system $\mathbb{R}^2$ consists of two number lines placed perpendicular to each other. Because of those two lines the system gets divided into four parts which are known as the quadrants. The quadrants have a specific type of ordered pair which is as follows:
If both x and y coordinates are positive then the ordered pair belongs to the First quadrant.
If x coordinate is negative and y coordinates is positive then the ordered pair belongs to the Second quadrant.
If x coordinate is negative and y coordinates is negative then the ordered pair belongs to the Third quadrant.
If both x and y coordinates are negative then the ordered pair belongs to the Fourth quadrant.
Now in the point $\left(3,2\right)$, 3 is positive and 2 is also positive. Using the information above we can directly imply that the point $\left(3,2\right)$ belongs to the first quadrant. The point A$\left(3,2\right)$ is shown on the graph as below:

Note: Take care of the negative and positive sign and always remember that the numbering of quadrants occurs in the anti clockwise direction. So, be aware while assigning the quadrants. Moreover, if the point origin $\left(0,0\right)$ is given then you can say it doesn’t belong to any quadrant.