Debian :: DNS Client Do Not Ping Internet

I have my router (192.168.1.1) connected to the internet. I have installed Debian on a server with Bind9 (192.168.1.254). The configurations files are:
Code: $ cat /etc/network/interfaces
# The loopback network interface
auto lo
iface lo inet loopback

# The primary network interface
auto eth0
iface eth0 inet static
address 192.168.1.254
netmask 255.255.255.0
network 192.168.1.0
broadcast 192.168.1.255
gateway 192.168.1.1 Code: $ cat /etc/bind/named.conf
include "/etc/bind/named.conf.options";
include "/etc/bind/named.conf.local";
include "/etc/bind/named.conf.default-zones"; .....