Find the coordinates of the point which divide the line segment joining the points (-4,0) and (0,6) in three equal parts
Answers
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
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Answer:
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Step-by-step explanation:
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