Subject: Compulsory Maths
The ordered pair of the number which is used to indicate the position of a point on a grid is known as the coordinates of a point.For example,
The position of the point P on the grid is 5 units along 3 units up is written as (5,3).
Co-ordinates axes and quadrants
Co-ordinates axes are the horizontal and vertical number lines which intersect each other perpendicularly at the point O.
Here, XOX' is called x-axis or abscissa
YOY' is called the y-axis or ordinate.
The point O is called the origin.
Similarly, the interested x-axis and y-axis divide the co-ordinate plane into 4 regions which are known as quadrants.
XOY is called 1st quadrant.
X'OYis called 2nd quadrant
X'OY' is called 3rd quadrant
XOY' is called 4th quadrant
Finding points in all four quadrants
The following are the points which are used to find the points in all four quadrants,
Plotting points in all four quadrants
The following are the points which are used to find the points in all four quadrants,
Who invented Coordinates and when? Mention.
The system of describing a position of a point by using coordinates was invented by French Mathematician called Rene Descartes in the 17th century.
What are the coordinate axes and quadrants? Mention.
The coordinate axes are mentioned below:
Similarly, The quadrants of coordinate are mentioned below:
State the quadrant where each of the following points lies:
A(2,3) , B(-3,2), C(-2,-3) and D(3,-2)
Solution:
Given point, A(2,3)
Since both x and y coordinates are positive, so it lies in the first quadrant.
Also, Given points, B(-3,2)}
Since x-coordinate is negative and y-coordinate is positive, so it lies in the second quadrant.
Similarly, Given points, C(-2,-3)
Since both x and y coordinates are negative, so it lies in the third quadrant.
And, Given points, D(3,-2)
Since x-coordinate is positive and y-coordinate is negative, so it lies in the fourth quadrant.
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