Dioxides of titanium and zirconium by alloying interact

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Dioxides of titanium and zirconium by alloying interact with alkalis. Which properties of oxides say these reactions? Write the reactions
between: a) TiO3 and BaO; b) ZrO2 and NaOH. The first reaction produces metatitanate, and in
second - ortotsirkonat respective metals.
A detailed solution to the problem. Formula MathType.