i. The ratio in which the line 2x + y = 4 divides the line segment joining A (2, −2) and B (3, 7) is 2 : 5. ii. G (4, 3) is the centroid of ΔABC, where A (1, 3), В (4, b), and C (9, 1), then b = 4.

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Neither (i) nor (ii) Explanation: $\Rightarrow$ For (i), letting P divide AB in k : 1 gives; P`((3k + 2)/(k + 1),(7k - 2)/(k + 1))` Substituting in 2x + y = 4 yields k = $\frac{2}{9}$, So the ratio is 2 : 9 not 2 : 5 $\Rightarrow$ For (ii), centroid x-coordinate = (1 + 4 + 9)/3 = $\frac{14}{3}$ $\neq$ 4 So b cannot be 4. Hence, both statements are false.

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