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Find the coordinates of the point …

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Find the coordinates of the point of trisection of the line segment joining (4,-1)and(-2,-3)
  • 1 answers

Gaurav Seth 5 years, 3 months ago

Answer:

first let the points be

A(4,-1),B(-2,-3)

first let us take the ratio as 1:2 and later 2:1 since its trisection  .

let the point joining A and B be P(x,y)

Step-by-step explanation:

P = (1*-2+2*4/1+2  ,  1*-3+2*-1/1+2)

  = (-2+8/3  ,  -3-2/3)

  =  (6/3  ,  -5/3)

P   =  (2  ,  -5/3)

now let ratio be 2:1

P = (2*-2+1*4/3  ,  2*-3+1*-1/3)

  = (-4+4/3  ,  -6-1/3)

  = (0/3  ,  -7/3)

P = (0 , -7/3)

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