Question

if a and b are -2 ,- 2 and 2 ,- 4 respectively find the coordinates of p such that Ap = 3/7a b and p lies on the segment ab​

Answer 1

Answer:

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

Step-by-step explanation:

A(-2,-2) , B( 2,-4)

AP=3/7*AB

AB=AP+BP

AB=3/7 AB +BP

BP=AB-3/7AB=4/7AB

Thus AP/BP=(3/7*AB)/(4/7*AB)=3/4

So here m=3 and n=4

P divides AB in 3: 7 ratio

Thus coordinates of P are

{ (3*2+4*-2)/(3+4), ( 3*-4+4*-2)/(4+3) }

={ (6-8)/7,  (-12-8)/7 }

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