Question

Find the time the ratio in which the points p 3 3 5 4 5 by 12 divide the line segment joining the points a 1 by 2, 3 by 2 and b 2, - 5

Answer 1

Answer:

1:5

Step-by-step explanation:

The point which divide the line segment  

joining the points A ( x1 , y1 ) , B ( x2 , y2 ) in the ratio k:1  

is P ( kx2+ x1/k +1 , ky2 + y1 / k+ 1 )

A( x1 , y1 ) = ( 1/2 , 3 /2 )

B ( x2 , y2 ) = ( 2 , -5 )

P ( x , y ) = ( 3 / 4 , 5 / 12 )

Let the ratio = k : 1

x = 3/4 ( given

(kx2 + x1 ) / ( k+ 1 ) = x

( k× 2 + 1/2 ) / ( k + 1 ) = 3 / 4

2k + 1/2 = 3 /4 ( k + 1 )

4 ( 2k + 1 / 2) = 3 ( k + 1 )

8k + 2 = 3k + 3

8k - 3 k = 3 - 2

5k = 1

k = 1/5

Answer 2

Step-by-step explanation:

Hope it's helpful xD! ❤