Consider the system   $AX=B$  with  $A=\left(\begin{array}{ll}1& 1\\ 2& 1\\ 4& 2\end{array}\right),B=\left(\begin{array}{l}3\\ h\\ k\end{array}\right),$
where h and k are unspecified real parameters, then which of the following option(s) is / are true?
 

There exists a matrix X such that $AX=B$ , for every $h\in R$    
 

There exists infinitely many matrices X such that  $AX=B$  for finite number of values of  h

The relation between the parameters h and k, such that the given system $AX=B$   is consistent is $k=2h$  
 

The relation between the parameters h and k, such that the given system  $AX=B$  is consistent is  $h=2k$