Question

7.If P(a/2 , 4) is the midpoint of the line segment joining the points A (-6,5) and B(-23)
then find value of a​

Answer 1

Answer:

-6-2/2= a/2

-8/2= a/2

-8=a

Answer 2

Answer:

Given :

P ( $\dfrac{a}{2}$, 4 ) is the mid point of A (-6,5) B (-2, 3)

.

To find :

The value of ' a '

.

Formula to be used :

Mid point formula :-

$\huge{\boxed{P (a,b) = ({\dfrac{x_{1}+x_{2}}{2}},{\dfrac{y_{1}+y_{2}}{2}})}}$

.

Solution :

Substituting the values ...

$P ({\dfrac{a}{2}},4) = ({\dfrac{-6+(-2)}{2}},{\dfrac{5+3}{2}})$

$\implies{P ({\dfrac{a}{2}},4) = ({\dfrac{-6-2}{2}},{\dfrac{8}{2}})}$

$\implies{P ({\dfrac{a}{2}},4) = ({\dfrac{-8}{2}},{\dfrac{8}{2}})}$

$\underline{P ({\dfrac{a}{2}},4) = (-4,4)}$

$\implies {{\dfrac{a}{2}}= -4}$

$\implies {a= -4×2}$

${\boxed{\implies{\red {a= -8}}}}$