Physical World
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?
If the pair of linear equation in two variable has infinite number of solutions, then the lines represented by these equation are:
If two lines i.e. a pair of linear equations, has infinitely many solutions it means lines are overlapping each other i.e. coincident lines.
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?
Draw the graph for the linear equation given below:$$x + 3 = 0$$
$$9x+3y+12=0\\18x+6y+24=0$$
The lines representing the linear equations $$2x - y - 3$$ and $$4x - y = 5$$
The value of $$\lambda$$ for which $$x + 2y + 7 = 0$$ and $$2x + \lambda y + 14 = 0$$ represent coincident lines is