Consider the adjoining figure of the line $\overleftrightarrow{MN}$. State whether the following statements are true (T) or false (F) in context of the given figure.

(i) Q, M, O, N and P are points on the line $\overleftrightarrow{MN}$.

(ii) M, O and N are points on the line segment $\overline{MN}$.

(iii) M and N are end points of the segment $\overline{MN}$.

(iv) O and N are end points of the segment $\overline{OP}$.

(v) M is a point on the ray $\overrightarrow{OP}$.

(vi) M is one of the end point of the segment $\overline{QO}$.

(vii) Ray $\overrightarrow{OP}$is same as ray $\overrightarrow{OM}$.

(viii) Ray $\overrightarrow{OM}$is not opposite to ray $\overrightarrow{OP}$.

(ix) Ray $\overrightarrow{OP}$is different from ray $\overrightarrow{QP}$.

(x) O is not an initial point of ray $\overrightarrow{OP}$.

(xi) N is the initial point of $\overrightarrow{NP} \text{ and } \overrightarrow{NM}$.

From the figure, the points lie on line MN in the order Q, M, O, N, P.

(i) True — All five points Q, M, O, N and P lie on the line MN.

(ii) True — Since O lies between M and N, the points M, O and N all lie on the line segment MN.

(iii) True — M and N are the end points of the segment MN, by definition.

(iv) False — The end points of the segment OP are O and P (not O and N). N is a point on the segment OP, not an end point.

(v) False — Ray OP starts at O and extends in the direction of P. M lies on the opposite side of O, so M is not a point on ray OP.

(vi) False — The end points of segment QO are Q and O. M lies between Q and O, so it is not an end point of QO.

(vii) False — Ray OP starts at O and goes towards P, while ray OM starts at O and goes towards M (opposite direction). They are opposite rays, hence not the same.

(viii) False — Ray OM and ray OP have the same initial point O but extend in opposite directions, so they are opposite rays. Hence, the statement "ray OM is not opposite to ray OP" is false.

(ix) True — Ray OP has initial point O while ray QP has initial point Q. Since the initial points differ, the rays are different.

(x) False — O is the initial (starting) point of ray OP.

(xi) True — Ray NP and ray NM both start from N, so N is the initial point of both rays.