Question

The coordinates of a point A which divides the line segment joining the points P(1, 3) and Q(3, 4) externally in the ratio 3 : 4 is

• A. $(\frac{-3}{2},4)$
• B. (4, 3)
• C. (-5, 0)
• D. $(\frac{-6}{5},4)$

Answer 1

The correct option is C (-5, 0)

Point A divides P(1, 3) and Q(3, 4) externally in 3 : 4.

Coordinates of A are $=\frac{m{x}_2-n{x}_1}{m-n},\frac{m{y}_2-n{y}_1}{m-n}$

$=\frac{6\times 3-4\times 1}{3-4},\frac{3\times 4-4\times 3}{3-4}$

= (-5, 0)

Hence, the correct answer is option (c).