Question

The midpoint of the line segment joining A(-5,3)and B(x,7) is (-2,5).find the value of x​

Answer 1

Answer:

We have mid point formula,

P(X,Y)=(

2

x

1

+x

2

,

2

y

1

+y

2

)

So, Mid point of line joining the points (5,7) and (3,9) is

2

5+3

,

2

7+9

=(4,8)-----(1)

As midpoint (x

1

,y

1

) of line joining two points (x

2

,y

2

) and (x

3

,y

3

)

x

1

=

2

x

2

+x

3

and y

1

=

2

y

2

+y

3

So midpoint of line joining two points (8,6) and (0,10)

⇒

2

8+0

,

2

6+10

=(4,8)-----(2)

From (1) and (2) we can say that the mid-point of the line segment joining the points (5,7) and (3,9) is also the mid-point of the line segment joining the points (8,6) and (0,10)

(0,10).