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Find the coordinates of the point which divide the line segment joining the points (-4,0) and (0,6) in three equal parts |
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Answer» Given : points (-4,0) and (0,6) To FIND : coordinates of the point which divide the line segment joining the points (-4,0) and (0,6) in three equal parts Solution: A (-4,0) B(a , b) C ( c , d) D (0,6) AB = BC = CD = AD/3 AB : BD = 1 : 2 AC : CD = 2 : 1 B divides A & D in 1 : 2 RATIO a = (1 * 0 + 2(-4))/(1 + 2) = -8/3 b = (1 * 6 + 2(0))/(1 + 2) = 2 C divides A & D in 2 : 1 Ratio a = (2 * 0 + 1(-4))/(1 + 2) = -4/3 b = (2 * 6 + 1(0))/(1 + 2) = 4 (-8/3 , 2) and (-4/3 , 4) are the points which divide the line segment joining the points (-4,0) and (0,6) in three equal parts Learn More: If P (-1,1) is the midpoint of the line segment joining A(-3,b) and B (1 ... Find the ratio in which the Y-axis Davides the line segment joining ... |
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