Question

On a number line, points A,B and C are such that d(A,C)=10, d(C,B)=8 find d(A,B) considering all possibility​

Answer 1

$\Large\mathtt\green{ }\huge\underline\mathtt\red{Answer : }$

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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Answer 2

Answer:

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