Question

find the ratio in which P (4,m) divides the line segment joining the point A (2,3) and B (6,-3). Hence find m

Answer 1

Hola there...

Let
P(4, m) = (x, y)
A(2, 3) = (x1, y1)
B(6, -3) = (x2, y2)

By using section formula in this points, we get.

Let the ratio in which P divide the line segment A and B be = k:1

Therefore,

x = kx2 + x1(1)/k + 1

=> 4 = 6k + 2 /k + 1

=> 4k + 4 = 6k + 2

=> 2k = 2

=.> k = 1

So, the ratio = 1:1

Now,

y = k(y2) + 1(y1) / k + 1

=> m = -3 + 3 /1 + 1

=> m = 0/2

=> m = 0. ...Ans

Hope this helps....:)

Answer 2

the value of m will be 0 and the ratio in which it is divided is 1:1