# The question consists of two statements, namely, Assertion (A) and Reason (R), Please select the correct answer.A. Both Assertion (A) and (R) are true and Reason (R) is a correct explanation of Assertion (A).B. Both Assertion (A) and Reason (R) are true but Reason (R) is a correct explanation of Assertion (A).C. Assertion (A) is true and Reason (R) is false.D. Assertion (A) is false and Reason (R) is true.

Let us consider, a line segment AB.
Assume that it has two midpoints say C and D

Recall that the midpoint of a line segment divides it into two equal parts
That is AC = BC and AD = DB
Since C is midpoint of AB, we have A, C and B are collinear
AC + BC = AB (1)
Similarly, we get AD + DB = AB
(2)
From (1) and (2), we get
AC + BC = AD + DB
This is a contradiction unless C and D coincide.
Therefore our assumption that a line segment AB has two midpoints is incorrect.
Thus every line segment has one and only one midpoint.

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