Question

The co-ordinates of the mid point of a line segment are (2, 3). If the co-ordinates of one of the end points of the segment are (5, 6), find the coordinates of the other end point.

Answer 1

Coordinate of the midpoint = (2,3).
Coordinate of one point =(5,6).
Let the coordinate of the other point be (x,y) .
So, according to the midpoint theorem of coordinate geometry we have ,
→ x+5/2 = 2
or, x+5=4
or, x= -1.
Again → y+6/2=3
or, y +6 = 6
or, y = 0.
Therefore the coordinate of the required point is (-1,6) .
.
.
.
.
HOPE IT HELPS YOU....
.
.
.
.
Please Mark As Brainliest

Answer 2

Solution :

Let P( x , y ) = ( 2 , 3 ) is the midpoint of

the line segment AB.

Let A( x1 , y1 )

B( x2 , y2 ) = ( 5 , 6 )

***************************************

We know If the mid point of line

joining of the points A(x1 , y1 ) and

B( x2, y2 ) is P( x , y ) then

x = ( x1 + x2 )/2 ,

y = ( y1 + y2 )/2

*****************************************

Here ,

i ) ( x1 + 5 )/2 = 2

=> x1 + 5 = 4

=> x1 = 4 - 5

=> x1 = -1

ii ) ( y1 + 6 )/2 = 3

=> y1 + 6 = 6

=> y1 = 6 - 6

=> y1 = 0

Therefore

Required point A ( x1 , y1 ) = ( -1 , 0 )

••••