The equation of a tangent plane :
.
The equation is
and the point is
.
Rewrite the equation as
.
Consider
.
Differentiate
partially with respect to
.
Substitute the point
in above equation.
.
Differentiate
partially with respect to
.

Substitute the point
in above equation.
.
Differentiate
partially with respect to
.

Substitute the point
in above equation.
.
The equation of the tangent plane is
Substitute
,
and
in above equation. 
The equation of a tangent plane is
.
The symmetric equations are
.
The equation of a tangent plane is
.
The symmetric equations are
.