Question

9
F (2,P) is
If
the med point
of the line segmen
ent joining
the points A (6,5)& B(-2, 11) find the
value of P.​

Answer 1

Answer:

8

Step-by-step explanation:

When a line segment joined between points (a, b) and (c, d) is devided into ratios of m:n, then then the coordinates of the point deviding the line is given as

$(m \times \frac{a + c}{2} )$

and

$(n \times \frac{b + d}{2} )$

Since this is the midpoint of the line segment, the ratio will be 1:1.

(therefore, m = n = 1)

And comparing (6, 5) and (-2, 11) to (a, b) and (c, d),

We get a = 6

b = 5

c = -2

d = 11

So, the coordinates of the midpoint here will be,

x coordinate = m*(a+c)/2

= 1*(6-2)/2

= 2

y coordinate= n*(b+d)/2

= 1*(5+11)/2

= 8

Thus, the coordinates of the midpoint are (2, 8)

Hence, P = 8