Question

If x-axis divides the line (2,-5) and (1, 9) in the ratio
a) 9.5
b) 2:1
c) 5:9
d) 1:2​

Answer 1

Answer:

5:9 (c)

Step-by-step explanation:

mx1 +nx2 /m+n

same with y.

x = k-2 / k+1

y= 9k +5/ k+1

As this is a point on the x–axis, y = 0

y= 9k +5/ k+1 = 0

9k =5k

k = 5/9

k being positive, the division is internal.  ∴ x-axis divides the given line internally in the ratio 5 : 9.