Question

the coordinates of A and B are (1,2) and (2,3). If p lies on AB, then find the coordinates of p if AB/PB = 4/3​

Answer 1

Step-by-step explanation:

Given:

Coordinates:-

A(1,2) = (x_1,y_1)

B(2,3) = (x_2,y_2)

AP/PB = 4/3

• m_1 : m_2 = 4:3

Using section formula:

(x,y) = [(m_1x_2 + m_2x_1)/m + n ; (m_1y_2 + m_2y_1)/m + n]

For x:-

[(m_1x_2 + m_2x_1)/m + n]

⇒ [4(2) + 3(1)/4 + 3]

⇒ [8 + 3/7]

⇒ 11/7

For y:-

[(m_1y_2 + m_2y_1)/m + n]

⇒ 4(3) + 3(2)/4 + 3]

⇒ [12 + 6/7]

⇒ 18/7

Coordinates of point P:

P(x,y) = P(11/7,18/7)