Question

The line segment joining the points A(2,1) and B (5,-8) is trisected at the

points P and Q, find the coordinates of P.​

Answer 1

Answer:

P and Q are points of trisection and P is nearer to A

⟹AP:PB=1:2

$\textcolor{yellow}{So, P=m+nmx2+nx1/,m+nmy2+ny1/m+1}$

$\textcolor{red}{⟹(1(5)+2(2) \m + 1]1(−8)+2(1)) \m + 1}$

⟹P(−3,2) pasees through 2x−y+k=0

⟹k=8