Two straight paths are represented by the equations and Check whether the paths cross each other or not.

Question

Philoid · Accepted Answer

Given linear equations are

x - 3y - 2 = 0 …(i)

and -2x + 6y - 5 = 0 …(ii)

On comparing with ax + by c=0, we get

Here, a₁ =1, b₁ =-3, c₁ =- 2;

And a₂ = -2, b₂ =6, c₂ =- 5;

i.e., a₁/a₂ = b₁/b₂ c₁/c₂ [parallel lines]

Hence, two straight paths represented by the given equations never cross each other, because they are parallel to each other.