Question

in the ratio does the point (3,12) divide line segment joining the points (1,4) and (4,16).

tell fast.

be branilist

Answer 1

(3,12)=(x,y)
(1,4)=(x1,y1)
(4,16)=(x2,y2)
by section formula
x=mx2+nx1/m+n
3=m×4+n×1/m+n
3m+3n=4m+n
3m-4m=n-3n
-m=-2n
m=2n
m/n=2

Answer 2

By using section formula,

x = mx2 + nx1/m+n

y = my2 + ny1/m+n

• Put the values in the formula and you will get your answer

Answer ----> m/n = 2:1

Hence the ratio is 2:1.