Question

The ratio in which the point on x axis divides the line segment joining (1,-2) and (-3,5)

Answer 1

Answer:

2 : 5

Step-by-step explanation:

Let the point on the x-axis be x,0 .

Let the ratio be k : 1 .

By section formula :

$x=\frac{kx_2+x_1}{k+1}\\\\y=\frac{ky_2+y_1}{k+1}$

Using the second formula we have :

$y=\frac{ky_2+y_1}{k+1}\\\\\implies \frac{ky_2+y_1}{k+1}=0\\\\\implies \frac{k(5)+(-2)}{k+1}=0\\\\\implies 5k-2=0\\\\\implies 5k=2\\\\\implies k=\frac{2}{5}$

$\text{Ratio=k:1}\\\\\implies \frac{2}{5}:1\\\\\implies 2:5$