Question

1. Find the midpoint of the line segment joining the points
(i) (1,-1) AND (-5,3) II, (0,0) AND (0,4)

Answer 1

Hi ,

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Midpoint of the line segment :

If A( x1 , y1 ) , B( x2 , y2 ) are any two points,

then the mid point of the segment joining

AB is

( x1 + x2/2 , y1 + y2 /2 )

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According to the problem given ,

i ) A( x1 , y1 ) = ( 1 , - 1 ) ,

B( x2 , y2 ) = ( -5 , 3 ) ,

mid point of AB = ( 1 - 5/2 , -1 + 3/2 )

= ( -4/2 , 2/2 )

= ( -2 , 1 )

ii ) A( x1 , y1 ) = ( 0 , 0 ) ,

B( x2 , y2 ) = ( 0 , 4 ) ,

mid point of AB = ( 0 + 0/2 , 0 + 4 /2 )

= ( 0/2 , 4/2 )

= ( 0 , 2 )

I hope this helps you.

: )