Question

Find the coordinates of point C(x,y) where it divides the line segment joining (4,-1) and(4,3) in the ratio 3:1 internally ?

• A. (4, 1)
• B. (3, 2)
• C. (4, 3)
• D. (4,2)

Answer 1

Answer:

D. (4,2)

$x_1=4,y_1=-1,x_2=4,y_2=3,m=3,n=1$

$C(x,y)=(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})$

$(\frac{3 \times 4 +1\times4}{3+1},\frac{3\times3+1\times-1}{3+1})=(\frac{16}{4},\frac{8}{4})=(4,2)$