In what ratio does the x-axis divide the join of A(2, –3) and B(5, 6)?

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KollegeApply · Accepted Answer

1 : 2 Explanation: Let the x-axis cut AB in the ratio λ : 1. By the section formula the y-coordinate of the division point is (6λ - 3)/(λ + 1). Setting this = 0 gives 6λ − 3 = 0 $\Rightarrow$ λ = $\frac{1}{2}$ i.e. $\frac{1}{2}$ : 1 = 1 : 2.

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