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TRICKS FOR PLOTTING GRAPHS OF LINES

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THIS DOCUMENT IS A BASED ON A TOPIC OF CH 3 PAIR OF LINEAR EQUATION AND THIS TOPIC IS ABOUT PLOTTING GRAPH OF LINES REPRESENTING GIVEN EQUATION OFTEN WE GET CONFUSE ON PLOTTING GRAPH ESPECIALLY ON DECIDING HOW MANY POINTS WE REQUIRE SO THIS PDF WILL HELP YOU IN PLOTTING GRAPH OF LINES MAYBE LINES CAN BE INTERSECTING,PARALLEL, COINCIDE

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April 3, 2023
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Written in
2022/2023
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MATHS CLASS X CBSE

, CH3-PAIR OF LINEAR EQUATIONS IN TWO VARIABLE(ONLY GRAPH PART)


After reading this pdf now you will be easily able to solve graph question
from chapter 3 of CBSE class X whether the lines are intersecting,parallel
or coincident .Lets begin with it
👉minimum points required to form a graph is 1 and maximum points
required are 3


👉CASE 1:Intersecting Lines
Condition for the lines to intersect is 𝑎1
𝑎2
𝑏1
≠ 𝑏2

If two equation satisfy this condition then both the lines meet each
other at a point.

TIP:First,compare both the equation with general formula which is 𝑎𝑥 2 +

𝑏𝑥 + 𝑐 = 0 and find the value of 𝑎1, 𝑎2, 𝑏1, 𝑏2, 𝑐1, 𝑐2 .
Second,if it satisfy the condition of 𝑎1
𝑎1
≠ 𝑏1,then the lines
𝑏1


representing equation will be intersecting.So you need only one point in
case of intersection as by using single point which is a same point you
can intersect lines.
Third,solve the both equation either by elimination
method then use the value of X and Y to plot the intersection point




EXAMPLE OF INTERSECTING LINES GRAPH
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