Question

A(2,1) P(3,3) B(X,Y) P part AB at 1:4 ratio what is the location of point B?

Answer 1

The given points are A(2,1) and P(3,3), where B is between A and P.

To find the x-coordinate of B, we use the following formula

`x=(a)/(a+b)(x_2-x_1)+x_1`

Where a=1 and b=4, using the given coordinates, we have

`x=(1)/(1+4)(3-2)+2=(1)/(5)(1)+2=(1)/(5)+2=(2+10)/(5)=(12)/(5)`

To find the y-coordinate of B, we use the following formula

`y=(a)/(a+b)(y_2-y_1)+y_1`

Replacing all values, we have

`y=(1)/(1+4)(3-1)+1=(1)/(5)(2)+1=(2)/(5)+1=(2+5)/(5)=(7)/(5)`

Therefore, point B is (12/5, 7/5).