Question

Point P divides the line segment joining the points A(4, –5) and B(1, 2) in the ratio 5:2. Co-ordinates of point P are ______.

पर्याय

• `(5/2, (-3)/2)`

• `(11/7, 0)`

• `(13/7, 0)`

• `(0, 13/7)`

Answer 1

Point P divides the line segment joining the points A(4, –5) and B(1, 2) in the ratio 5:2. Co-ordinates of point P are `bbunderline(13/7, 0)`.

Explanation:

Let P(x, y) be the point

We know that

`x = (m_1x_2 + m_2x_1)/(m_1 + m_2)` 

`x = (5 xx1+ 2 xx 4)/(5 + 2)`

⇒ `x + (5 + 8)/7 = 13/7`

`y = (m_1y_2 + m_2y_1)/(m_1 + m_2)`

`y = (5 xx 2 + 2 xx (-5))/(5 + 2)`

= `(10 - 10)/7`

y = 0

Therefore, Coordinates of point `P = (13/7, 0)`