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Q.

What is the point of intersection of the lines y=3x and x=3y ?


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a

  (3, 0)

b

  (0, 3)

c

  (3, 3)

d

  (0, 0) 

answer is D.

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Detailed Solution

The given two lines are,
y=3x and x=3y .
We have to find the point of intersection of the lines y=3x and x=3y .
The figure of two lines has been drawn below in the graph.
Question ImageFrom the given graph, the point of intersection of lines y=3x (black line)
and x=3y (brown line) must satisfy both the equations.
From the graph, we can see that the solution is (0,0).
Hence the point of intersection of given lines is at origin, i.e. (0,0).
So the correct option is option 4.
 
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