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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