at what points does the graph of the linear equation x+y=5 meet a line which is parallel to the y axis , at a distance 2 units from the origin and in positive direction of x axis.

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Solution

The equation of a line which is parallel to the y-axis, at a distance 2 units from the origin and in the positive direction of x-axis is x=2.
The given line is x+y=5
Putting x = 2 in the above equation, we get
2+y=5
⇒y=3

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