Quick Revision of Straight Lines | Coordinate Geometry Tips & Tricks | JEE Main 2021-2022 |Rahul SIr

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Published at : 12 Jan 2021
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A certain kind of relation between the variables x and y which is met by the coordinates of every point lying on a line is termed as the equation of a straight line.

Remark:
Any linear equation in two variables x and y always represents a straight line.

The equation of a line that is parallel to the x-axis or perpendicular to the y-axis at a distance ‘c’ from it is given as y = c.
The equation of a line that is parallel to the y-axis or perpendicular to the x-axis at a distance ‘c’ from it is given as x = c.
Given a point, we can have an infinite number of straight lines passing through it. This suggests us to have another condition for the same line to be uniquely represented on the XY plane.

For Example, A straight line passing through the origin and having the slope of 90° or 270° or – 90° is the y-axis itself.

So, depending upon the type of information available to us for a line, straight lines can be represented in different forms. These forms are as follows:

-General form
-Point - slope form
-Two-point form
-Slope – intercept form
-Intercept – form
-Normal form or perpendicular form

Given the equation in any form, we can easily convert it into any other desired form.

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