i. The distance of the point (1, 2) from the mid-point of the line segment joining the points (6, 8) and (2, 4) is 5 units. ii. y-axis divides the line segment joining A(−4, 6) and B(8, −3) in the ratio 2 : 1.

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Only (i) Explanation: $\Rightarrow$ The midpoint of (6,8) and (2,4) is: ((6 + 2)/2, (8 + 4)/2) = (4, 6) Distance from (1, 2) to (4, 6): = sqrt(3^2 + 4^2) = 5, So (i) is true. $\Rightarrow$ For (ii), the y-axis meets AB at x = 0, giving t = $\frac{1}{3}$, so AP : PB = 1 : 2, not 2 : 1, hence (ii) is false.

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