Question

Determine the ratio in which y – x + 2 = 0 divides the line joining (3, – 1) and (8, 9)
(a) 3:5
(b) 2:3
(c) 4:3
(d) None of these

Answer 1

Answer:

option (c)

Step-by-step explanation:

A(3,-1)

B(8,9)

y-x+2=0 divides the line AB at ratio K:1 (let)

by mid pt formula,

C={8K+3/K+1,9K-1/K+1}

x=8K+3/K+1 , y=9K-1/K+1

put in the equation given

y-x+2=0

9K-1/K+1 - 8K+3/K+1 +2 =0

9K-1-8K+3+2(K+1) =0

3K-4=0

3K=4

K=4/3

ratio is 4:3