question_answer

Determine the ratio in which \[y-x+2=0\] divides the line joining (3, - 1) and (8, 9):

A)  \[3:5\]                          

B)  \[4:3\]              

C)  \[2:3\]

D)  \[2:5\]

Correct Answer: C

Solution :

(c): \[\frac{9K-1}{K+1}-\frac{8K+3}{K+1}+2=0\] \[\Rightarrow \]\[9K-1-8K-3+2K+2=0\] \[\Rightarrow \]\[3K-2=0\] \[\Rightarrow \]\[K=2:3\]