Question

find the coordinates of a point dividing the line segment by joining (-3,1) , (3-2) , 2:1​

Answer 1

Answer:

(1 , - 1)

Step-by-step explanation:

Given,

A = (-3 , 1)

B = (3 , - 2)

Let , the ratio be 'm : n'

m : n = 2 : 1

To Find :-

Co-ordinates of the point(P) dividing the line segment

Formula Required :-

Section(Internal Division) Formula :-

$(x,y)=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)$

Solution :-

A = (-3 , 1)

x_1 = - 3 , y_1 = 1

B = (3 , - 2)

x_2 = 3 , y_2 = - 2

m : n = 2 : 1

Substituting in the formula :-

$P=\left(\dfrac{2(3)+1(-3)}{2+1},\dfrac{2(-2)+1(1)}{2+1}\right)$

$=\left(\dfrac{6-3}{3},\dfrac{-4+1}{3}\right)$

= (3/3 , -3/3)

= (1 , - 1)

∴ Co-ordinates of 'P' = (1 , - 1)