Sets Relations And Functions Question 84

Question: Let $ F_1 $ be the set of parallelograms, $ F_2 $ the set of rectangles, $ F_3 $ be the set of rhombuses, $ F_4 $ be the set of squares and $ F_5 $ be the set of trapeziums in a plane. Then $ F_1 $ may be equal to

Options:

A) $ F_2\cap F_3 $

B) $ F_3\cap F_4 $

C) $ F_2\cup F_5 $

D) $ F_2\cup F_3\cup F_4\cup F_1 $

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Answer:

Correct Answer: D

Solution:

  • [d] Every rectangle, rhombus, square in a plane is a parallelogram but every trapezium is not a parallelogram.

$ \therefore ,F_1=F_2\cup F_3\cup F_4\cup F_1 $