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Q.
Consider the following figure of line MN . Say whether following statements are true or false in context of the given figure.
(a) Q, M, O, N, P are points on the line MN
(b) M, O, N are points on a line segment MN .
(c) M and N are end points of line segment MN .
(d) O and N are end points of line segment OP .
(e) M is one of the end points of line segment QO .
(f) M is point on ray OP
(g) Ray OP is different from ray QP
(h) Ray OP is same as ray OM
(i) Ray OM is not opposite to ray OP
(j) O is not an initial point of OP .
(k) N is the initial point of NP and NM
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answer is 1.
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Detailed Solution
(a) Q, M, O, N, and P are points on the line MN is true
As there can be infinitely many points on a single line.
(b) M, O, and N are points on a line segment MN is true.
From the diagram, it is clear that M, O, and N lie on line segment MN. Also, there can be infinitely many points on a single line.
(c) M and N are end points of line segment MN is true.
From the diagram, it is clear that M and N are the end points of the line segment MN.
(d) O and N are end points of line segment OP is false.
From the diagram it is clear that the endpoints of the line segment OP are O and P.
(e) M is one of the endpoints of line segment QO is false.
From the diagram, it is clear that M is in between line segment QO, therefore, M is not end point of line segment QO.
(f) M is a point on ray OP is false.
From the diagram, we can say that M is not a point on ray OP
(g) Ray OP is different from ray QP is true. As it can be seen from the diagram.
(h) Ray OP is same as ray OM is false. As they have different lengths and they are opposites.
(i) Ray OM is not opposite to ray OP is false as they are opposite rays.
(j) O is not an initial point of OP is true. From the diagram it is clear.
(k) N is the initial point of NP and NM is true. From the diagram it is clear.