Find the coordinates of the points of equal trisection
of the line segment joining (2,-2)and (-7.4). 2​

1 thought on “<br /><br />Find the coordinates of the points of equal trisection<br />of the line segment joining (2,-2)and (-7.4). 2​”

1. Answer:

   Given:- A line segment joining the points A(2,−2) and B(−7,4).

   Let P and Q be the points on AB such that,

   AP=PQ=QB

   Therefore,

   P and Q divides AB internally in the ratio 1:2 and 2:1 respectively.

   As we know that if a point (h,k) divides a line joining the point (x

   1

   ,y

   1

   ) and (x

   2

   ,y

   2

   ) in the ration m:n, then coordinates of the point is given as-

   (h,k)=(

   m+n

   mx

   2

   +nx

   1

   ,

   m+n

   my

   2

   +ny

   1

   )

   Therefore,

   Coordinates of P=(

   1+2

   1×(−7)+2×2

   ,

   1+2

   1×4+2×(−2)

   )=(−1,0)

   Coordinates of Q=(

   1+2

   2×(−7)+1×2

   ,

   1+2

   2×4+1×(−2)

   )=(−4,2)

   Therefore, the coordinates of the points of trisection of the line segment joining A and B are (−1,0) and (−4,2).

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