If the line segment joining the points `(3,-4),a n d(1,2)` is trisected at points `P(a ,-2)a n dQ(5/3, b)dot` Then, `a=8/3, b=2/3` (b) `a=7/3,b=0` `a=1/3, b=1` (d) `a=2/3, b=1/3`

Explanation

Given,

Points `P` and `Q` trisect the line segment joining the points `A(3,−4)` and `B(1,2)`


This means,`P` divides `AB` in the ratio `1:2` and `Q` divides it in the ratio `2:1`


here
, `(x_1​,y_1​)=(3,−4)` and `(x_2​,y_2​)=(1,2)` and `m=1,n=2
`

using section formula
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