Question
Question: A st. line y –x + 2 = 0 divides the join of points (3, –1) and (8, 9) in the ratio...
A st. line y –x + 2 = 0 divides the join of points (3, –1) and
(8, 9) in the ratio
A
3 : 2
B
2 : 3
C
3 : 4
D
4 : 3
Answer
2 : 3
Explanation
Solution
Let the ratio be l : 1 then (λ+18λ+3,λ+19λ−1) will satisfy the st. line so
(9l –1) – (8l+3) + 2(l + 1) = 0
Ž l = 2/3 so ratio is l : 1 = 2 : 3