Consider the equation in real numbers $|x-3|+|x+9|=a,a\in R$ . Match the statements/expressions in column I with those in column II.

The line $y=k,k<12$ doesn’t meet the above curve 

k= 2 meets the curve at infinite points belonging to $[-9,-3]k>12$ meets the curve at two points 

For k = 12 , the line y = k meets the curve $y=|x-3|+|x+9|$ at 13 integral points. Note that ${\log }_{27}81=4/3$

A) The maximum possible number of integral solutions is 13 which happens when a = 12

B) For 4/3 < a < 12 the number of solutions = 0 a = 12, the number of solutions is infinite

a > 12, the number of solutions is two.