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Let F1 Be the Set of All Parallelograms, F2 the Set of All Rectangles, F3 the Set of All Rhombuses, F4 the Set of All Squares and F5 the Set of Trapeziums in a Plane. Then F1 May Be Equal to - Mathematics

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Question

Let F1 be the set of all parallelograms, Fthe set of all rectangles, Fthe set of all rhombuses, F4 the set of all squares and Fthe set of trapeziums in a plane. Then F1may be equal to

Options

  • (a)  \[F_2 \cap F_3\]

     

  •    (b) \[F_3 \cap F_4\]

     

  • (c)  \[F_2 \cup F_3\]

     

  •    (d) \[F_2 \cup F_3 \cup F_4 \cup F_1\]

MCQ

Solution

We know that every rectangle, rhombus and square in a plane is a parallelogram but every trapezium is not a parallelogram.

So, F1 is either of F1 or F2 or For F4.

\[\therefore F_1 = F_1 \cup F_2 \cup F_3 \cup F_4\]

 

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Chapter 1: Sets - Exercise 1.10 [Page 51]

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RD Sharma Mathematics [English] Class 11
Chapter 1 Sets
Exercise 1.10 | Q 30 | Page 51

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