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 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
p 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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