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Magazine Chapter 3: Q31 (page 77)
Complete each statement with the word always, sometimes, or never.
Three lines intersecting in one point are coplanar
Short Answer
Three lines intersecting in one point are sometimes coplanar.
Step by step solution
Step 1. Define coplanar
Coplanar lines are those lines which lies in the same plane
Step 2. Draw the diagram
Draw a diagram with three lines intersecting in one point.
Figure 1:
Figure 2:
Step 3. State the conclusion
From the diagrams, it can be observed that tt is not necessary that if three lines intersects in one point then they will be coplanar, they may or may not lie in the same plane. Since in figure 1, the three lines intersect at one point and are coplanar. And in the figure 2, the three lines intersect at one point but are not coplanar.
Thus, three lines intersecting in one point may or may not be coplanar. So, it will be sometimes coplanar.
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