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InterviewSolution
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10. Find the ratio in which P (4, m) divides the line segment joining the pointsA (2, 3) and B (6,-3). Hence find m. |
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Answer» A(2,3) ------------------P(4,m)--------------B(6,-3) Applying section formula , Let λ is the ratio by which P divides the line joining A and B.x = (λx₂ + x₁)/(λ + 1) here , x = 4 , x₁ = 2 , x₂ = 6 Now, 4 = (6λ + 2)/(λ + 1)4(λ + 1) = 6λ + 2 4λ + 4 = 6λ + 2 2 = 2λ ⇒ λ = 1 Hence, p divides the line AB into 1 : 1 ratio. Now, for y - co - ordinate y = (λy₂ + y₁)/(λ + 1) m = (1 × -3 + 3)/(1 + 1) = 0Hence , m = 0 Hit the like 👍 ✔️ |
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