Question

In what ratio does the point R(8, 4) divide the line segment joining the points P(5, -2) and a (9, 6) ?​

Answer 1

Answer:

Let the point R(8,4) divides the line segment joining the points P(5,-2) and Q (9,6) in the ratio k:1

Now, by section formula

x=m1x2+m2x1/m1+m2

8 =k×9+1×5/k+1

8(k+1)=9k+5

8k+8=9k+5

9k-8k=8-5

k=3

so,point R(8,4) divides the line segment PQ in the ratio 3:1 internally