Question

Find the coordinates of the point which divides the line segment joining the points (4,-4 ) and (4,4) in the ratio 1:3​

Answer 1

Answer:

Step-by-step explanation:

Let P(x, y) be the point which divides the line segment internally.

Using the section formula for the internal division, i.e.  

(x,y)=(m1x2+m2x1m1+m2,m1y2+m2y1m1+m2)....(i)

Here, m1=3,m2=1

(x1,y1)=(4,−3) and (x2,y2)=(8,5)

Putting the above values in the above formula, we get

⇒x=3(8)+1(4)3+1,y=3(5)+1(−3)3+1

⇒x=24+44,y=15−34

⇒x=284,y=124

⇒x=7,y=3

Hence, (7,3) is the point which divides the line segment internally