Question

O. 19. The line segment joining the
points (3,-1) & (-6.5)is trisected. The
coordinates point of trisection are
O A) (3.3)
OB)(-3,3)
OC)(3,-3)
OD) (-3,-3)​

Answer 1

$\huge\mathcal\pink{Solution:-}$

Let A(1, -2) and B(-3, 4) be the given points. Let the points of trisection be P and Q. Then AP = PQ = QB = λ (say)

∴ PB = PQ + QB = 2λ and AQ = AP + PQ = 2λ

⇒ AP : PB = λ:2λ=1:2 and AQ : QB = λ:2λ=2:1

So P divides AB internally in the ratio 1 : 2 while Q divides internally in the ratio 2 : 1