14. Find the ratio in which the line segment joining the points (-3, 10) and (6, -8) is divided by (-1, 6)
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Step-by-step explanation:
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Answer:
M1:M2 = 2:7
step by step explanation
let M1:M2 = K:1
X1=-3, X2=6
Y1= 10, Y2=-8
M1X2 + M2X1 , M1Y2 + M2Y1 = ( X , Y )
M1 + M2. M1 + M2
k×6 + 1× -3 , k×-8 + 1× 10 =. ( -1 , 6 )
k + 1 k + 1
6k - 3. , -8k + 10. = ( -1 , 6 )
k+1. k+1
6k-3 = -1 ,. -8k + 10. = 6
k+1 k+1
6k-3 = -k - 1
6k + k = -1 +3
7k = 2
k = 2/ 7
k/1 = 2/ 7
HENCE K : 1 = 2 : 7
M1 : M1 = 2 : 7. Answer
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