Q7 of 186 Page 4

The paths traced by the wheels of two trains are given by equations x + 2y – 4 = 0 and 2x + 4y – 12 = 0. Will the paths cross each other?

Given paths traced by the wheel of two trains are

x + 2y – 4 = 0 …(i)


2x + 4y – 12 = 0


⇒ x + 2y – 6 = 0 …(ii)


As we can see that a1 = 1, b1 = 2 and c1 = – 4


and a2 = 1, b2 = 2 and c2 = – 6




∴ Given pair of equations has no solution


Hence, two paths will not cross each other.


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