Question

The line x y 2 = 0 divides the segment joining the points A(3, 1) and B(8, 9) in the ratio

(A)   2:3 

(B)    2:1

(C)  1 : 2

(D)  3 :4

Answer 1

Correct option  (A)  2 : 3

Explanation :

See Fig. Suppose the line x − y − 2 = 0 meets the line joining A and B in P and AP:PB λ :1.

Since P lies on the line x - y - 2 = 0, we have

Hence, AP : PB = 2 : 3