Question

Find the value of A, for which point P(a/3,2) is the mid point of the line segment joining the points Q(-5,4) and R(-1,0)

Answer 1

Answer:

a = -9

Step-by-step explanation:

Midpoint of Q(-5, 4) and R(-1,0) = ( (-5 + (-1) )/2 , (4 + 0)/2 )

Midpoint of Q(-5, 4) and R(-1,0) = ( -3 , 2 )

Find the value of a:

Given that P(a/3 , 2)

a/3 = -3

a = -9

Answer: a = -9

Answer 2

ANSWER :
_________

If P is the mid point of QR, then it will divide the line segment Q R in the ratio 1: 1.

Now, using mid - point formula,

Here x and y are coordinates of mid point P.

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

a /3 = ( - 5 - 1 ) /2

a / 3 = - 6 /2

a = - 6 × 3 / 2

a = - 3 × 3

a = - 9.

So, the value of a is ( - 9 ).