Statement I: Number of d and f electrons increases down the group and due to poor shielding of d and f electrons, stability of lower oxidation states increases down the group.
Statement II: The atomic size of aluminium is greater than that of gallium. Thus, Statement I is correct, but Statement II is incorrect.
Let $ P_n = \alpha^n + \beta^n $, $ n \in \mathbb{N} $. If $ P_{10} = 123,\ P_9 = 76,\ P_8 = 47 $ and $ P_1 = 1 $, then the quadratic equation having roots $ \alpha $ and $ \frac{1}{\beta} $ is: