Question

In what ratio does the point (1. a) divide the
join of (-1. 4) and (4.-1)
Also, find the value of a​

Answer 1

Step-by-step explanation:

Let the point P (1, a) divides the line segment AB in the ratio k: 1. Using section formula, we have:

1=4k-1/k+1

1=4k-1/k+1k+1 = 4k-1

1=4k-1/k+1k+1 = 4k-13k= 2

1=4k-1/k+1k+1 = 4k-13k= 2k = 2/3

1=4k-1/k+1k+1 = 4k-13k= 2k = 2/3a = -k+4/k+1

1=4k-1/k+1k+1 = 4k-13k= 2k = 2/3a = -k+4/k+1Hence, the required is 2:3 and the value of a is 2.