Question 11 The point which divides the line segment joining the points A (0, 5) and B (5, 0) internally in the ratio 2:3 is _____________
Given points A (0, 5) and B (5, 0)
Let point be P(x, y) divide AB in ratio 2 : 3
Coordinates of P = ((π_1 π₯_2 + π_2 π₯_1)/(π_1 + π_2 ), (π_1 π¦_2 + π_2 π¦_1)/(π_1 + π_2 ))
= ((2 Γ 5 + 3 Γ 0)/(2 + 3), (2 Γ 0 + 3 Γ 5)/(2 + 3))
= ((2 Γ 5)/5, (3 Γ 5)/5)
= (2, 3)
So, required point is (2, 3)

Made by

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.