Distance Of A Point From A Line
Chapter Name : Straight Lines |
Sub Topic Code : 104_11_10_05_01 |
Topic Name : Distance Of A Point From A Line |
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Sub Topic Name : Distance Between Two Parallel Lines |
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Introduction
The slope of two parallel lines is equal and therefore the equation of the lines is similar.
Pre-Requisites:
Idea about the slope of parallel lines.
Real Life Question:
The two opposite sides of the parallelogram have equations given by 3x-4y+7=0 and 3x-4y +5=0. What is the distance between the sides.
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
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| Distance between two parallel lines | The distance ‘d’ between two parallel lines of the form ax+by+c_1=0 and ax+?by+c?_2=0 is given by d=|c_1-c_2 |/?(a^2+b^2 ) |
Learning aids / Gadgets
| Gadgets | How it can be used |
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Real life uses :
The distance between parallel railway tracks enables us to check the parallelism of the track. Similarly distance between parallel edges of roads is used to check the straightness of the roads.
Practical examples around us
| Examples | Explainations |
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What you learn in Theory:
What are parallel lines and similarity between the equations of two parallel lines?
What you learn in Practice:
How to find the perpendicular distance between two parallel lines?