Question

Point P(a/8,4)
is the mid-point of the line segment joining the point
A(-5,2) and B(4, 6). The value of 'a' is
(A) -4
(B) 4
(C) -8
(D) - 2​

Answer 1

Answer:

-4

Step-by-step explanation:

the mid point of A(-5,2),B(4,6)=(-1/2,4)

so a/8=-1/2

2a=-8

a=-8/2

a=-4

Answer 2

The value of 'a' is -4

Step-by-step explanation:

Point P($\frac{a}{8}$, 4) is the mid point of the line segment joining the point A(-5, 2) and B(4, 6)

Mid point of AB =

$(\frac{-5+4}{2}, \frac{2+6}{2})\\= (\frac{-1}{2}, \frac{8}{2})\\= (\frac{-1}{2}, 4)$

P ($\frac{a}{8}$, 4) = $(\frac{-1}{2}, 4)$

So, $\frac{a}{8} = \frac{-1}{2}$

=> a = - 4

Hence, the value of 'a' is -4