Write the co-ordinates of the midpoint of the line segment joining the points
A(x1
, y1
) and B (x2
, y2
)
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Answer:
Given that point P(x,y) divides the line segment joining A(x 1 y 1 ) B(x 2 y 2 ) in the ratio m 1 : m 2 , then the coordinates of P can be obtained using the section formula.
( Diagram )
Using section formula we can write :
⇒(x,y)≡( m1 x2 + m2 x1 ) , (m1y2 + m2y2)
________________ ____________
m2m2 , m1 + m2
HENCE THE ANSWER IS ( m1x2 + m2x1 , m1y2 + m2y2 )
___________ ___________
m2m2 m1 + m2
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