Maths-
General
Easy

Question

Make a valid conclusion in the situation.
If two points lie in a plane, then the line containing them lies in the plane.
Points A and B lie in plane PQR.

The correct answer is: Hence we can conclude that the line containing points A and B lie in the plane PQR.


    Hint:
    Law of Detachment states that if p not stretchy rightwards arrow q is true and it is given that p is true then we can conclude that q is also true. Here, the statement is termed as Hypothesis and the statement q is termed as conclusion.
    Solution
    Consider the statement into two separate statements
    p: Two points lie in a plane
    q: Line containing the two points is in the plane
    So we can write the given statement “If two points lie in a plane, then the line containing them lies in the plane” as
    not stretchy rightwards arrow q
    We are given that two points A and B lie in plane PQR so we can conclude that the line containing the points A and B  lie in the plane PQR.
    Final Answer:
    Hence we can conclude that the line containing points A and B  lie in the plane PQR.

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