i cant understand the geometric representation of linear equations in 2 variables(where lines are parallel to either x or y axis)
Hi Aditya,
When a line is parallel to X axis, then all points on it are at a constant distance from X axis.
Distance from X-axis for any point is it's Y - coordinate.
Hence, for all points on such a line, the Y-coordinate is a constant. So we can write the equation as Y = C, where C is a constant.
.
Similarly, when a line is parallel to Y axis, then all points on it are at a constant distance from Y axis.
Distance from Y-axis for any point is it's X - coordinate.
Hence, for all points on such a line, the X-coordinate is a constant. So we can write the equation as X = C, where C is a constant.
Hope this helps.
- 1
- 2
- 3
- 4
- 5
- 6
- 7
- 8
- 9
- 10
You have rated this answer /10
Browse free questions and answers by Chapters
- 1 Number System
- 2 Polynomials
- 3 Coordinate Geometry
- 4 Linear Equations in Two Variables
- 5 Introduction to Euclid's Geometry
- 6 Heron's Formula
- 7 Surface Areas and Volumes
- 8 Statistics
- 9 Probability
- 10 Lines and Angles
- 11 Triangles
- 12 Quadrilaterals
- 13 Areas of Parallelograms and Triangles
- 14 Circles
- 15 Geometric Constructions
Trending Tags
Latest Questions
