Explanation

(c)
In homogeneous catalysis, reactants and catalyst are in the same phase.
$(a){SO}_{2}(g) + O_{2}(g){SO}_{3}(g)$
(contact process)
It is an example of heterogeneous catalysis.
$(b)N_{2}(g) + H_{2}(g)2{NH}_{3}(g)$
(Haber’s process)
It is an example of heterogeneous catalysis.
$(c)C_{12}H_{22}O_{11}(aq) + H_{2}O(aq)C_{6}H_{12}O_{6} + C_{6}H_{12}O_{6}$
It is an example of homogeneous catalysis.
$(d)oil(l) + H_{2}(g)\underset{pt(s)}{\overset{(Hardening)}{\rightarrow}}$fat
Thus, it is also an example of heterogeneous catalysis.