In $∆$ABC, equation to AB is 2x+3y-5=0, altitude through A is x-y+4=0 and altitude through B is 2x-y-1=0. Then the vertex C is

• A

  $\left(-\frac{{\displaystyle 1}}{{\displaystyle 5}},\frac{{\displaystyle 9}}{{\displaystyle 5}}\right)$

• B

  $\left(\frac{{\displaystyle 1}}{{\displaystyle 5}},\frac{{\displaystyle 9}}{{\displaystyle 5}}\right)$

• C

  $\left(\frac{{\displaystyle 1}}{{\displaystyle 5}},\frac{{\displaystyle -9}}{{\displaystyle 5}}\right)$

• D

  $\left(\frac{{\displaystyle -1}}{{\displaystyle 5}},\frac{{\displaystyle -9}}{{\displaystyle 5}}\right)$