Question

. Find the ratio in which the line segment joining the points (-6,20) and(12,-16) is divided by

(-2,12).​

Answer 1

Step-by-step explanation:

( -6 , 20 )•__________•___________•( 12, -16 )

( -2 , 12 )

( K : 1 )

Assume the ratio to be k:1

By section formula

$- 2 = \frac{k \times 12 + 1 \times ( - 6)}{k + 1} \\ \\ - 2k - 2 = 12k - 6 \\ \\ - 2 + 6 = 12k + 2k \\ \\ 4 = 14k \\ \\ \frac{4}{14} = k \\ \\ \frac{2}{7} = k$

We got k = 2/7

Now convert it into ratio...

The ratio is 2:7

The answer is 2:7