Solved Problems on Coordinate Axes
Problem 1: Identify the quadrant in which the point A(5, -4) lie.
As the abscissa of the point is positive and ordinate is negative, the point A(5, -4) will lie in fourth quadrant.
Problem 2: How will a point having abscissa as 2 and ordinate as 7 and lying in third quadrant be represented?
As the point lies in third quadrant, abscissa and ordinate both will be negative. Thus the point will be represented as (-2, -7).
Problem 3: On which axis will a point having abscissa as 4 and ordinate as 0 and lying in first quadrant lie?
As the point has ordinate as 0, it means that the point will lie on XX’ i.e. X-axis.
Problem 4: Identify the quadrant in which the point A(1, 1) lie.
As the abscissa of the point is positive and ordinate is positive, the point A(1, 1) will lie in first quadrant.
Problem 5: How will a point having abscissa as 8 and ordinate as 3 and lying in second quadrant be represented?
As the point lies in second quadrant, abscissa will be negative and ordinate will be positive. Thus the point will be represented as (-2, 7).
Coordinate Axes in Coordinate Geometry
Coordinate Axes are the fundamental of the concept in Coordinate Geometry, which is the amalgamation of two branches of mathematics, i.e., algebra and geometry. The basic idea of coordinate geometry is to study the properties of various figures in mathematics i.e., points, lines, curves, etc.
Thus, Coordinate Axes form the basis of coordinate geometry which is the branch of mathematics dealing with the plotting of points, lines, and curves on the coordinate axes system or the Euclidean plane. In this article, we will learn about the Coordinate Axes in detail.
Table of Content
- What are Coordinate Axes?
- Coordinate Axes in Two Dimension
- Coordinate Axes in Polar Coordinate System
- Coordinate Axes in Three Dimensions
- Coordinate Axes in Other Coordinate Systems
Contact Us