The point which divides the line segment joining the points (7,-6) and (3,4) in the ratio 1:2 internally lies in which quadrant?

Open in App

Solution

$Let P (x, y) be the point that divides the line joining (7, - 6) and (3, 4) in the ratio of 1 : 2 Now, using section formula, we get x = \frac{1 \times 3 + 2 \times 7}{1 + 3}; y = \frac{1 \times 4 + 2 \times (- 6)}{1 + 3} \Rightarrow x = \frac{17}{3}; y = - \frac{8}{3} Since the abscissa of point P is positive and ordinate is negative, so P lies in the fourth quadrant .$

Suggest Corrections

Similar questions

(7, 6)

(3, 4)

1 : 2

Which of the following statments are correct?

1. The coordinates of the point which divides the line segment joining the points

$(1, - 2, 3)$ and $(3, 4, - 5)$ internally in the ratio $2 : 3$ is $(- 3, - 14, 19)$ .

2. The coordinates of the point which divides the line segment joining the points

$(1, - 2, 3)$ and $(3, 4, - 5)$ externally in the ratio $2 : 3$ is $(\frac{9}{5}, \frac{2}{5}, \frac{- 1}{5})$ .

Join BYJU'S Learning Program