Find the ratio in which x-axis divides the line segment joining
the points (3, 3) and (6, -6).
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answer : 1 : 2 ratio.
let λ : 1 ratio in which x - axis divides the line segment joining the points (3, 3) and (6, -6)
using formula, y = (λy₂ + y₁)/(λ + 1)
here y₂ = -6 and y₁ = 3
on x-axis , y = 0
so, 0 = (λ × -6 + 3)/(λ + 1)
⇒0 = -6λ + 3
⇒λ = 1/2
hence x - axis divides the line segment joining the points (3,3) and (6, -6) is in 1 : 2 ratio.
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