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Section Formula- Finding coordinates
Last updated at Aug. 16, 2021 by Teachoo
Example 6 Find the coordinates of the point which divides the line segment joining the points (4, β 3) and (8, 5) in the ratio 3 : 1 internally. Let the given points be A(4, β3) & B(8, 5) Let the point be P(x, y) which divides AB in ratio 3 : 1 Finding x x = (π1 π₯2 + π2 π₯1)/(π1 + π2) Where, m1 = 3, m2 = 1 x1 = 4, x2 = 8 Putting values x = (3 Γ 8 + 1 Γ4)/(3 + 1) x = (24 + 4)/4 x = 28/4 x = 7 Finding y y = (π1 π¦2 + π2 π¦1)/(π1 + π2) Where, m1 = 3, m2 = 1 y1 = β3, y2 = 5 Putting values y = (3 Γ 5 + 1 Γβ3)/(3 +1 ) y = (15 β 3 )/4 y = (12 )/4 y = 3 Hence x = 7, y = 3 So, the required point is P(x, y) = P(7, 3)