question_answer

If the point \[F\] lies in between \[M\] and \[N\] and \[C\] is the midpoint of \[MF\] which of the following is true?

A) \[MC+FN=MN\]

B) \[MF+CF=MN\]

C) \[MC+FN=MN\]

D)        \[CF+CN=MN\]

Correct Answer: D

Solution :

From the figure, CF + FN =CN               ..........(i). and MC + CF + FN = MN \[\therefore \] MC + CN = MN (From eq...i) Since, C is the mid-point of MF, MC = MF. \[\therefore \]CF + CN = MN