please answer,........
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Answer:
option B is the correct answer
Step-by-step explanation:
correct answer is 7
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Let A, B and C be the points.
•°• A = (1,2), = (x1, y1)
B = (-5,6), = (x2,y2)
C = (a,-2) = (x3, y3)
Points are collinear ...... given
•°• slope of AB = slope of BC
•°• (y2 - y1)/(x2 - x1) = (y3 - y2)/(x3 - x2)
(6 - 2)/(-5 - 1) = (-2 - 6)/(a - (-5))
4/-6 = - 8/(a + 5)
1/-6 = -2/(a + 5)
-6 × -2 = 1(a + 5)
12 = a + 5
12 - 5 = a
7 = a
The value for a is 7.
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