Quadrant

The axes of a two-dimensional Cartesian plane system divides the plane into four infinite regions is called quadrants. These regions includes both positive and values values of x and y. The intersection of two lines is known to be the reference point. All the measurement is done taking this point as the reference (or starting point).

Quadrant

Well, the graph is divided into sections or four quadrants, based on those values.

1st Quadrant: The upper right-hand corner of the graph is the first quadrant. In this quadrant the values of x and y both are positive.

2nd Quadrant: The upper left-hand corner of the graph is the second quadrant. In this quadrant the value of x is negative whereas the value of y is positive.

3rd Quadrant: The lower left-hand corner of the graph is the third quadrant. It contains the negative values of both x and y.

4th Quadrant: Finally, the fourth quarter is at the lower right-hand corner, that has positive value of x and negative values of y.

Quadrant

x-coordinate

y-coordinate

1st Quadrant

Positive

Positive

2nd Quadrant

Negative

Positive

3rd Quadrant

Negative

Negative

4th Quadrant

Positive

Negative

Trigonometric values in different Quadrant:

1st Quadrant

2nd Quadrant

3rd Quadrant

4th Quadrant

Sin

+ve

+ve

-ve

-ve

Cos

+ve

-ve

-ve

+ve

Tan

+ve

-ve

+ve

-ve

Cot

+ve

-ve

+ve

-ve

Sec

+ve

-ve

-ve

+ve

Cosec

+ve

+ve

-ve

-ve

Plotting Points on a Graph:

Cartesian points are written as x – y axis. To graph a point, In order to locate its position on the x-axis, find its location on the y-axis, and in the end plot where these meet. The center point of the graph is called the “origin” and is written as the point (0, 0) because it is located at the zero point on the both x and y axis.

To learn more about Quadrant, Area of Quadrant and other math-related articles, visit Byju’s.


Practise This Question

Which of the following collections is not a set?