Consider the following statements

1. The distance between the lines $$y = mx + {c_1}$$ and $$y = mx + {c_2}$$ is $${{\left| {{c_1} - {c_2}} \right|} \over {\sqrt {1 + {m^2}} }}$$.

2. The distance between the lines $$ax + by + {c_1} = 0$$ and $$ax + by + {c_2} = 0$$ is $${{\left| {{c_1} - {c_2}} \right|} \over {\sqrt {{a^2} + {b^2}} }}$$.

3.The distance between the lines $$x = {c_1}$$ and $$x = {c_2}$$ is $$\left| {{c_1} - {c_2}} \right|$$.

Which of the above statements are correct?

What is the equation of straight line passing through the point of intersection of the lines $${x \over 2} + {y \over 3} = 1$$ and $${x \over 3} + {y \over 2} = 1$$ and parallel to the line $$4x + 5y - 6 = 0$$ ?

What is the distance between the points which divide the line segment joining (4, 3) and (5, 7) internally and externally in the ratio 2 : 3 ?

What is the angle between the straight lines $$({m^2} - mn)y = (mn + {n^2})x + {n^3}$$ and $$(mn + {m^2})y = (mn - {n^2})x + {m^3}$$, where m > n?