on a no. line points A,R and C are such that d(C,B) =8 find d(A,B) considering all possibilities
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Step-by-step explanation:
There are only two possibilities.
Case 1 : When point C is between the points A and B.
We have, d(A, C) = 10; d(C, B) = 8
Now, d(A, B) = d(A, C) + d(C, B) = 10 + 8
∴ d(A, B) = 18
Case 2 : When point B is between the points A and C.
We have, d(A, C) = 10; d(C, B) = 8
Now, d(A, C) = d(A, B) + d(B, C)
So, d(A, B) = d(A, C) − d(B, C) = 10 − 8
∴ d(A, B) = 2
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