Crystalline iron(III) nitrate nonahydrate, $$\text{Fe(NO}_3)_3 \cdot 9\text{H}_2\text{O}$$, has a very pale violet colour. When added to water, the crystals dissolve to form a brown solution. Treatment of this brown solution with concentrated nitric acid yields a very pale violet solution while treatment with HCl yields a yellow solution. Identify the correct statements regarding the above observations.

The brown colour is due to $$[\text{Fe(OH)(H}_2\text{O})_5]^{2+}$$ and $$[\text{Fe(OH)}_2(\text{H}_2\text{O})_4]^+$$

Violet colour is due to $$[\text{Fe(H}_2\text{O})_6]^{3+}$$ and yellow colour due to $$[\text{FeCl}_4]^-$$

Addition of $$\text{HNO}_3$$ shifts the equilibrium $$[\text{Fe(H}_2\text{O})_6]^{3+} + \text{H}_2\text{O} \rightleftharpoons [\text{Fe(OH)(H}_2\text{O})_5]^{2+} + \text{H}_3\text{O}^+$$ to left giving pale violet colour

Addition of $$\text{HNO}_3$$ shifts the equilibrium $$[\text{Fe(H}_2\text{O})_6]^{3+} + \text{H}_2\text{O} \rightleftharpoons [\text{Fe(OH)(H}_2\text{O})_5]^{2+} + \text{H}_3\text{O}^+$$ to right giving violet colour