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A man leaves his home early in the morni...

A man leaves his home early in the morning to have a walk. He arrives at a junction of roads A and B as shown in figure. He takes the following steps in later journies :

(i) 1 km in North direction.
(ii) Changes direction and moves in North-East direction for `2 sqrt(2)` km.
(iii) Changes direction and moves Southwards for distance of 2 km.
(iv) Finally he changes the direction and moves in South-East direction to reach road A again.
Now if roads A and B are taken as X-axis and y-axis ,then visible point representing the graph of y=f(x)
Then the value of x at which function f(x) is discontinous

A

(a) 2

B

(b) 3

C

(c) 19

D

(d) None of these

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A
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