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Question

x+2y=0
  1. The line passes through (0,0) and m=3
  2. The line passes through (0,0) and m=12
  3. The line passes through (0,0) and m=3
  4. None of these

A
The line passes through (0,0) and m=3
B
The line passes through (0,0) and m=3
C
The line passes through (0,0) and m=12
D
None of these
Solution
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The correct option is B The line passes through (0,0) and m=12
Thegivenequationisx+2y=0y=12x.Herexistheindependentvariable.Weassignany4valuesofxandobtainthecorrespondingvaluesofy.x=10y=5,x=2y=1x=4y=2.x=10y=5Sotheorderedpairesofvaluesof(x,y)=(10,5),(2,1)(4,2)&(10,5)Nowweplotthemonagraph.Thelinepassesthrough(0,0)andm=12.AnsOptionB.
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