Question

Given points A(-3,-4) and B(2,0), point P(-1, -12/5) partitions AB in the ratio

Answer 1

Actually the correct answer is 2:3

Answer 2

Answer:
`(3)/(2)`

Explanation:

Given

A=(-3,4)

B=(2,0)

Co-ordinates of Point P
`=(-1,-(12)/(5))`

Let say P divides AB in ratio of k:1

x co-ordinate of P is also given by

`x=(kx_1+x_2)/(k+1)`

`y=(ky_1+y_2)/(k+1)`

`-1=(-3k+2)/(k+1)`

`2k=3`

`k=(3)/(2)`