Assertion (A): Two points in a plane are always collinear.
Reason (R): Three or more points are said to be collinear if all of them lie on the same plane.
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
Both Assertion (A) and Reason (R) are said to be true but Reason (R) is not the correct explanation of Assertion (A).
Assertion (A) is true but Reason (R) is false.
Assertion (A) is false but Reason (R) is true.
Answer
Assertion (A) is true, because through any two points exactly one straight line can be drawn, so two points always lie on a common line and are therefore collinear.
Reason (R) is false, because points are collinear only when they lie on the same straight line, not merely on the same plane.
Hence, option 3 is the correct option.
Assertion (A): A line segment has two end points.
Reason (R): A line segment is different from a line.
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
Assertion (A) is true but Reason (R) is false.
Assertion (A) is false but Reason (R) is true.
Answer
Assertion (A) is true, because a line segment is the straight path between two fixed points, so it has two end points.
Reason (R) is true, because a line segment has a definite length and two end points, while a line has no end points and no definite length.
But Reason (R) only states that a line segment and a line are different, it does not explain why a line segment has two end points.
Hence, option 2 is the correct option.
Assertion (A): Two parallel lines meet each other at some point.
Reason (R): The distance between two parallel lines always remains constant.
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
Assertion (A) is true but Reason (R) is false.
Assertion (A) is false but Reason (R) is true.
Answer
Assertion (A) is false, because parallel lines never meet even when produced in either direction.
Reason (R) is true, because the distance between two parallel lines always remains the same throughout.
Hence, option 4 is the correct option.