Question

. If (3, ¾) is the mid-point of the line segment joining the points (k, 0) and (7, 3/2), then find the value of ‘k’...???

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Answer 1

Answer:

ANSWER

The co-ordinates of the mid-point of the line segment joining the point P(x

1

,y

1

),Q(x

2

,y

2

)=(

2

x

1

+x

2

,

2

y

1

+y

2

)

⇒(

3

a

,4)=(

2

−6+(−2)

,

2

5+3

)

⇒(

3

a

,4)=(

2

−8

,4)

X co-ordinates

⇒

3

a

=

2

−8

⇒a=

2

−8×3

=−12