Question

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


(A) – 4

(B) 4

(C) - 8

(D) – 2​

Answer 1

Answer:

Step-by-step explanation:

Midpoint formula =X1+X2/2,Y1+Y2/2

X1=-5,X2=4,Y1=2,Y2=6

So,substitute the values,

(-5+4)/2,(2+6)/2=(a/8,4)

(-1/2),(8/2)=(a/8,4)

-1/2=a/8,8/2=4

2a=-8, 4=4

a=-8/2

a=-4

Answer 2

Answer:

B) -4

Step-by-step explanation:

Given:

Point  P(a/8,4) , mid point A=(5,2) B=(4,6)

To find: Value of 'a'

Solution:

by midpoint formula we know that,

$(x,y)=({x1+x2})/{2}+({y1+y2})/{2}$

$(a/8,4)=(-5+4)/2,(2+6)/2\\(a/8,4)=(-1)/2,(8)/2$

Then by equating we get,

a=-4

Project code=#SPJ3