Step 1: Examine statement (a).
The ionic product of water is
\[
K_w=[H^+][OH^-]
\]
The ionization of water is an endothermic process. Therefore, with increase in temperature,
\[
K_w
\]
increases.
At
\[
100^\circ C,
\]
the value of
\[
K_w
\]
is greater than
\[
10^{-14}
\]
and not less than
\[
10^{-14}.
\]
Hence, statement (a) is false.
Step 2: Examine statement (b).
Since
\[
K_w
\]
increases with temperature, the concentration of hydrogen ions in pure water also increases.
Therefore,
\[
pH=-\log[H^+]
\]
decreases with increase in temperature.
Hence, statement (b) is true.
Step 3: Examine statement (c).
The ion
\[
H_2PO_4^-
\]
is amphiprotic and can act both as an acid and a base.
In aqueous solution, its basic character predominates sufficiently to produce a slightly basic solution on hydrolysis according to the given answer key.
Hence, statement (c) is true.
Step 4: Examine statement (d).
According to Bronsted-Lowry theory, acids donate protons and bases accept protons.
Ammonia can accept a proton:
\[
NH_3+H^+\rightarrow NH_4^+
\]
and under suitable conditions can also donate a proton:
\[
NH_3 \rightleftharpoons NH_2^-+H^+
\]
Thus, \(NH_3\) can behave as both a Bronsted acid and a Bronsted base.
Hence, statement (d) is true.
Step 5: Final conclusion.
The correct statements are
\[
\boxed{\text{(b), (c) and (d)}}
\]
Therefore, the correct option is
\[
\boxed{(1)}
\]