i. x-axis divides the line segment joining points (6, 4) and (1, −3) in the ratio 1 : 1. ii. If the points A (6, 1), В (8, 2), С (9, 4), and D (p, 3), taken in order, are the vertices of a parallelogram, then p = 7.

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Only (ii) Explanation: $\Rightarrow$ For (i) the x‑axis meets the segment (6, 4) (1, −3) at parameter $\frac{4}{7}$, giving ratio 4 : 3, not 1 : 1. $\Rightarrow$ For (ii), AB = (2, 1) and DC = (9 − p, 1); Equating gives 2 = 9 − p, So p = 7, Hence, only the (ii) statement is valid from both statements.

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