Question

The point whose coordinates are $x=x_1+t(x_2-x_1)$ and $y=y_1+t(y_2-y_1)$ divides the joint of $(x_1,y_1),(x_2,y_2)$ in the ratio.

• A. $\frac{t}{1+t}$
• B. $\frac{1+t}{t}$
• C. $\frac{t}{1-t}$
• D. $\frac{1-t}{t}$

Answer 1

The correct option is C $\frac{t}{1-t}$

$x=\frac{x_1(1-t)+t{x}_2}{1-t+t}$

$y=\frac{y_1(1-t)+t{y}_2}{1-t+t}$

Clearly this is an example of section formula where $m=t$ and $n=1-t$

Hence the answer is C