Question

the ratio in which c(-1,6) divides A(-3,10) and B(6,-8)​

Answer 1

Answer:

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Answer 2

Answer:

2 : 7

Step-by-step explanation:

Let the ratio in which C(- 1, 6) divided line segment containing points A(- 3, 10) and B(6, - 8) be k : 1.

So, m₁ = k, m₂ = 1

Also, x₁ = - 3, y₁ = 10

x₂ = 6, y₂ = - 8

& x = - 1, y = 6

Using section formula, we get

→ x = (m₁x₂ + m₂x₁) / (m₁ + m₂)

→ - 1 = [(k)(6) + (1)(- 3)] / (k + 1)

→ - 1 = (6k - 3) / (k + 1)

→ - 1(k + 1) = 6k - 3

→ - k - 1 = 6k - 3

→ 6k + k = - 1 + 3

→ 7k = 2

→ k = 2/7

We assume earlier that the ratio is :

→ k : 1

→ k / 1

→ (2/7) / 1

→ 2 / 7

Hence, the ratio is 2 : 7.