The left hand of Venkateswara is in the Katya Vilambita
posture. The left lower hand of Balaji is straight down and is bend at the
wrist towards right. This is the Katya Vilambita Hasta Mudra. The hand rests
just below the left hip. This is posture is found in the main murti worshipped
in the Tirumala Tirupati Venkateswara
Temple
Katya Vilambita Hasta Mudra…
Katya means formally expressing praise or pay homage,
Vilambita means hanging,
Hasta means hand,
and Mudra means posture…
The most popular symbolic meaning associated with the Katya
Vilambita hand posture is that Venkateswara protects and bless his true
devotees.
Another belief is that the hand assures the devotees that
Balaji will let worldly problems go beyond a level.