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Question
Let F1 be the set of parallelograms, F2 the set of rectangles, F3 the set of rhombuses, F4 the set of squares and F5 the set of trapeziums in a plane. Then F1 may be equal to ______.
Options
F2 ∩ F3
F3 ∩ F4
F2 ∪ F5
F2 ∪ F3 ∪ F4 ∪ F1
Solution
Let F1 be the set of parallelograms, F2 the set of rectangles, F3 the set of rhombuses, F4 the set of squares and F5 the set of trapeziums in a plane. Then F1 may be equal to F2 ∪ F3 ∪ F4 ∪ F1 .
Explanation:
We know that rectangles, rhombus and square in a plane is a parallelogram but trapezium is not a parallelogram.
∴ F1 = F2 ∪ F3 ∪ F4 ∪ F1
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