Q4 of 186 Page 3

The path of a wheel of train A is given by the equation x + 2y — 4 = 0 and the path of a wheel of another train B is given by the equation 2x + 4y — 12 = O. Represent this situation geometrically.

The given equation is

x + 2y – 4 = 0


and


2x + 4y – 12 = 0


Now, let us find atleast two solutions of each of the above equations, as shown in the following tables.


Table for x + 2y – 4 = 0



Now, table for 2x + 4y – 12 = 0




From the graph, it is clear that lines represented by the equations x + 2y – 4 = 0 and 2x + 4y – 12 = 0 are parallel.


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