Question

A point which divides the joint of $(1,2)$ and $(3,4)$ externally in the ratio $1:1$

• A. Lies in the first quadrant
• B. Lies in the second quandrant
• C. Lies in third quadrant
• D. cannot be found

Answer 1

The correct option is D cannot be found

External division formula $P(x,y)=(\frac{m{x}_2-n{x}_1}{m-n},\frac{m{y}_2-n{y}_1}{m-n})$

Here $m=1,n=1$

then $1-1=0$ which will be the denominator

and $\frac{anything}{0}$ is undefined

Hence we can say that any point can not divide in the ratio $1:1$ externally.

Hence the point cannot be found.