Question

-1 Determine the coordinates of the
points which divides the line
segment joining the points P(3, -1)
and Q(8,4) internally in the ratio 4:1​

Answer 1

Answer:

(7,3)

Step-by-step explanation:

Let point R divide PQ in ratio 4:1

Let coordinates of R be (x,y)

Using section formula,

(1×3 + 4×8/ 4+1 , -1×1 + 4×4/ 4+1) = (x,y)

(3+32/5 , -1+16/5) = (x,y)

35/5 , 15/5 ) = (x,y)

(7,3) = (x,y)

Therefore (7,3) divide PQ in ratio 4:1