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Ex 7.2, 1 - Find coordinates of point which divides join - Section Formula- Finding coordinates

  1. Chapter 7 Class 10 Coordinate Geometry
  2. Serial order wise
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Ex 7.2, 1 Find the coordinates of the point which divides the join of (–1, 7) and (4, –3) in the ratio 2 : 3. Let the given points be A(−1, 7) & B(4, −3) Let the point be P(x , y) which divides AB in ratio 2:3 Here, x = (𝑚_1 𝑥_2+𝑚_1 𝑥_1)/(𝑚_1+𝑚_2 ) Where, m1 = 2 , m2 = 3 x1 = −1 , x2 = 4 Hence, putting values x = (2 × 4 +3 × −1)/(2 + 3) x = (8 −3)/5 x = 5/5 x = 1 Now, finding y y = (𝑚_1 𝑦_2+𝑚_2 𝑦_1)/(𝑚_1+𝑚_2 ) Where, m1 = 2 , m2 = 3 x1 = 7 , x2 = −3 Hence, putting values y = (2 × −3 + 3 ×7)/(2 + 3) y = (−6 + 21 )/5 y = 15/5 y = 3 Hence x = 1, y = 3 So, the required point is P(x, y) = P(1 , 3)

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