Question

35. In given figure in which ratio The point C devide the line segment AB ?
A. 3:2
B. 3:5
C. 2:3
D. 5:3​

Answer 1

Given :  point C(3/5, 11/5) divide the line segment joining the points A(3,5)

and B(-3,-2)  

To Find : Ratio in  which The point C divide the line segment AB

A. 3:2

B. 3:5

C. 2:3

D. 5:3​

Solution:

Let say  point C divide the line segment AB in m : n ratio

C(3/5, 11/5)

A(3,5) and B(-3,-2)  

Then  (3/5 , 11/5) =  (  (m(-3) + n(3) ) /(m + n) , (m(-2) + n(5) ) /(m + n)

Equating x coordinate

3/5  = (m(-3) + n(3) ) /(m + n)

=>   m  + n   =  5( -m  + n)

=> 6m  = 4n

=> 3m = 2n

=> m/n  = 2/3

=> m : n = 2 : 3

option C is correct  

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