Question

line segment eg is partitioned by point f in the ratio 1:1. point e is at e (0, 4), and point f is at (1, 3). what are the coordinates of point g?

Answer 1

The coordinates of G (x₂ , y₂) for line segment EG = (2,2).

As given:

Line segment EG

Partitioned point of line segment is F

Coordinates of F (x ,y)=(1,3) and E (x₁ ,y₁)=(0,4)

Let coordinate of G (x₂ , y₂)

Ratio m:n =1:1

(x ,y) ={ ( mx₂ +nx₁ )/ (m +n) , ( my₂ +n y₁ )/ (m +n)

⇒(1,3) = {(1x₂ +1(0) )/2 , 1y₂ +1(4) /2}

⇒x₂ =2, y₂ =2

Therefore, the coordinates of G (x₂ , y₂) for the given line segment is equal to (2,2).

   

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