  The form of the coupling of the scalar field with gravity and the potential
have been found by applying Noether theorem to two dimensional minisuperspaces
in induced gravity model. It has been observed that though the forms thus
obtained are consistent with all the equations $\pounds_{X}L=0$, yet they do
not satisfy the field equations for $k=\pm 1$, in Robertson-Walker model. It
has been pointed out that this is not due to the degeneracy of the Lagrangian,
since this problem does not appear in $k=0$ case.It has also been shown that
though Noether theorem fails to extract any symmetry from the Lagrangian of
such model for $k=\pm 1$, symmetry exists, which can easily be found by
studying the continuity equation.
