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  1. Chapter 7 Class 10 Coordinate Geometry (Term 1)
  2. Concept wise

Transcript

Example 6 Find the coordinates of the point which divides the line segment joining the points (4, โ€“ 3) and (8, 5) in the ratio 3 : 1 internally. Let the given points be A(4, โˆ’3) & B(8, 5) Let the point be P(x, y) which divides AB in ratio 3 : 1 Finding x x = (๐‘š1 ๐‘ฅ2 + ๐‘š2 ๐‘ฅ1)/(๐‘š1 + ๐‘š2) Where, m1 = 3, m2 = 1 x1 = 4, x2 = 8 Putting values x = (3 ร— 8 + 1 ร—4)/(3 + 1) x = (24 + 4)/4 x = 28/4 x = 7 Finding y y = (๐‘š1 ๐‘ฆ2 + ๐‘š2 ๐‘ฆ1)/(๐‘š1 + ๐‘š2) Where, m1 = 3, m2 = 1 y1 = โˆ’3, y2 = 5 Putting values y = (3 ร— 5 + 1 ร—โˆ’3)/(3 +1 ) y = (15 โˆ’ 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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.