Question

If the point C(k, 4) divides the line segment joining two points A(2, 6) and B(5, 1) in ratio 2 : 3, the value of k is ______.

Answer 1

If the point C(k, 4) divides the line segment joining two points A(2, 6) and B(5, 1) in ratio 2 : 3, the value of k is `underlinebb(16/5)`.

Explanation:

By section formula,

m : n = 2 : 3

`(mx_2 + nx_1)/(m + n) = k, (my_2 + ny_1)/(m + n) = 4,`

Now, `(2 xx 5 + 3 xx 2)/(2 + 3) = k`

⇒ `k = 16/5`