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Example 6 Find the coordinates of the point which divides the line segment joining the points (4, – 3) and (8, 5) in the ratio 3 : 1 internally. Let the given points be A(4, βˆ’3) & B(8, 5) Let the point be P(x, y) which divides AB in ratio 3 : 1 Finding x x = (π‘š1 π‘₯2 + π‘š2 π‘₯1)/(π‘š1 + π‘š2) Where, m1 = 3, m2 = 1 x1 = 4, x2 = 8 Putting values x = (3 Γ— 8 + 1 Γ—4)/(3 + 1) x = (24 + 4)/4 x = 28/4 x = 7 Finding y y = (π‘š1 𝑦2 + π‘š2 𝑦1)/(π‘š1 + π‘š2) Where, m1 = 3, m2 = 1 y1 = βˆ’3, y2 = 5 Putting values y = (3 Γ— 5 + 1 Γ—βˆ’3)/(3 +1 ) y = (15 βˆ’ 3 )/4 y = (12 )/4 y = 3 Hence x = 7, y = 3 So, the required point is P(x, y) = P(7, 3)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.