Question

Find the ratio in which the point P(4,k) divides the join of points A(5,9) and B(3,-7). Also find the value of k.

Answer 1

Hii frnd.

As we know,
x=(m1x2+m2x1)/(m1+m2)

xis given 4.
So,
4=(3m1+5m2)/(m1+m2)
4m1+4m2=3m1+5m2
1m1=1m2
m1/m2=1/1

Here we got the ratio as 1:1
Now we will use the formulae,
y=(m1y2+m2y1)/m1+m2
k=(-7+9)/2
k=2/2
k=1

Hope it helped u.