Question

Find the ratio in which the point P(4, b) divides the line AB formed by joining A(6,– 2) and B(– 3, 16). Find the value of b.

Answer 1

Hope this helps!!
m:n is the ratio.

Answer 2

Answer:

2

Step-by-step explanation:

Hi,

Given A(6, -2) and B(-3, 16)

Let the ratio in which P(4, b) divides the line segment joining A and B be

λ : 1

Using internal sectional formula,

(4, b) = (-3λ + 6/λ + 1, 16λ - 2/λ + 1)

Equating x components, we get

-3λ + 6 = 4λ + 4

7λ = 2

λ = 2/7

Now, to find the value of b, we need to equate the y co-ordinates,

b = (16λ - 2)/(λ + 1)

= ( 32/7 - 2)/(2/7 + 1)

= 18/9

= 2

Hence, the value of b is 2

Hope, it helps !