Then the ratio of AP and PB=m1,m2=1:3
Here A(x1,y1)=A(−2,2),B(x2,y2)=B(2,8)
∴ Co-ordinates of P=(m1x2+m2x1m1+m2,m1y2+m2y1m1+m2)
⇒(1×2−2×31+3,1×8+3×21+3)
⇒(2−64,8+64)=(−1,72)
The ratio of AQ and QB=m1:m2=2:2
Here A(x1,y1)=A(−2,2),B(x2,y2)=B(2,8)
∴ Co-ordinates of Q=(m1x2+m2x1m1+m2,m1y2+m2y1m1+m2)
⇒(2×−2+2×21+3,2×8+2×21+3)
⇒(−4+44,16+44)=(0,5)
Then the ratio of AR and RB=m1:m2=3:1
Here A(x1,y1)=A(−2,2),B(x2,y2)=B(2,8)
∴ Co-ordinates of R=(m1x2+m2x1m1+m2,m1y2+m2y1m1+m2)
⇒(3×2+1×−21+3,3×8+1×21+3)
⇒(6−24,24+24)=(1,132)
∴ Coordinates are P(−1,72),(0,5),(1,132)