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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 (8λ+3λ+1,9λ1λ+1)\left( \frac { 8 \lambda + 3 } { \lambda + 1 } , \frac { 9 \lambda - 1 } { \lambda + 1 } \right) 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