Question

If A and B are (_2, _2) and (2, _4) respectively. Find the coordinates of P such that AP 3/7 AB and P lies on the segment AB

Answer 1

Given :   A ( -2 , - 2)  and B( 2 , - 4) ,  AP  = (3/7) AB  , P lies on segment AB

To Find : coordinates of P

Solution:

AP  = (3/7) AB

P lies on AB

Hence BP  = AB - AP  = AB - (3/7)AB  = (4/7)AB

AP : BP = (3/7) AB :  (4/7)AB

=> AP : BP = 3 : 4

Hence point P divides  A ( -2 , - 2)  and B( 2 , - 4)  in 3 : 4 Ratio

Hence point P

( 3(2) + 4(-2))/(3 + 4) , ( 3(-4) + 4(-2))/(3 + 4)

( -2/7  , -20/7)

P = (-2/7 , -20/7)

coordinates of P  (-2/7 , -20/7)

Learn More:

To divide a line segment BC internally in the ratio 3 : 5, we draw a ...

https://brainly.in/question/25266911

to divide a line segment BC internally in the ratio 3:5 we draw a ray ...

https://brainly.in/question/25659568