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Let F(1) be the set of parallelograms F(...

Let `F_(1)` be the set of parallelograms `F_(2)`the set of recteangles `F_(3)` be the set of rhombuses .`F_(4)` be the set of squares and `F_(5)` be the set of trapezium in a plane .Then `F_(1)` may be equal to

A

`F_(2) nn F_(3)`

B

`F_(3) nn F_(4)`

C

`F_(2) uu F_(5)`

D

`F_(2) uu F_(3) uu F_(4) uu F_(1)`

Text Solution

Verified by Experts

The correct Answer is:
D

Every rectangle, rhombus, square in a plane is a parallelogram but every trapezium is not a parallelogram
So, `F_(1)` is either of `F_(1), F_(2), F_(3)` and `F_(4)`.
`:. F_(1) = F_(2) uu F_(3) uu F_(4) uu F_(1)`
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