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Question

The line x + y = 3 lies closer to the origin as compared to the line x + y = 5 when plotted on the cartesian plane.


A

True

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B

False

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Solution

The correct option is A

True


Let us consider the equation x + y = 3
when x = 0 then y = 3
similarly, when y = 0 then x = 3

Let us consider the equation x + y = 5
when x = 0 then y = 5
similarly, when y = 0 then x = 5

By plotting the graphs of both of the equations, we can easily observe that the line x + y = 3 lies closer to the origin.


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