Question

X- coordinate of the point that divides line segment joining A(2, 4) and B(6, 8) in the ratio 2:1 is

• A. $\frac{22}{3}$
• B. $\frac{20}{3}$
• C. $\frac{14}{3}$

Answer 1

Answer: (B), (C)

The correct options are
B $\frac{20}{3}$
C $\frac{14}{3}$

The point, say P(x, y), divides the line AB into the ratio 2 : 1. The coordinates of the point that divides a line in the ratio m : n is ,
$(\frac{n\times x_1+m\times x_2}{m+n},\frac{n\times y_1+m\times y_2}{m+n})$
Where $(x_1,y_1)and(x_2,y_2)$ are the coordinates of the line.
Applying the formula, we get $(\frac{1\times 2+2\times 6}{2+1},\frac{1\times 4+2\times 8}{2+1})=(\frac{14}{3},\frac{20}{3})$