Graphical Method of Solving Linear Programming Problems
On the same g...
Question
On the same graph paper. plot the graph of y=2x-1, y=2x and y=2x+1 form x=-2 \ to \ x=4 The graphs (lines) drawn are
A
intersecting but not at right angles
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B
forming a square
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C
parallel to each other
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D
forming a triangle and a segment.
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Solution
The correct option is C parallel to each other Thegivenequationsarey=2x−1....(i)y=2x.....(ii)y=2x+1fromx=2to4........(iii)Herexistheindependentvariable.Weassignatleastanyvaluesofxandobtainthecorrespondingvaluesofy.xy(i)y(ii)y(iii)5−11101−324786111281516−2−5−4−3−1−3−2−123454789Nowweplotthemonagraph.Fromthegraphitisevidentthatthelinesareparallel.Ans−OptionC.