Question

The point which divides the join of (1, 2) and (3, 4) externally in the ratio 1 : 1
(a) lies in the III quadrant
(b) lies in the II quadrant
(c) lies in the I quadrant
(d) cannot be found

Answer 1

(d) cannot be found

The point which divides the join of (1, 2) and (3, 4) externally in the ratio 1 :1 is $\left(\frac{1\times 3-1\times 1}{1-1},\frac{1\times 4-1\times 2}{1-1}\right)$
which is not defined .

Therefore,it is not possible to externally divide the line joining two points in the ratio 1:1