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Standard XII

Mathematics

Union

Let F 1 be th...

Question

Let $F_{1}$ be the set of all parallelograms, $F_{2}$ the set of all reactangles, $F_{3}$ the set of all rhombuses, $F_{4}$ the set of all sqauares and $F_{5}$ the set of trapeziums in a plane. Then $F_{1}$ may be equal to

$F_{2} \cap F_{3}$

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$F_{3} \cap F_{4}$

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$F_{2} \cup F_{3}$

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$F_{2} \cup F_{3} \cup F_{4} \cup F_{1}$

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Solution

The correct option is D
$F_{2} \cup F_{3} \cup F_{4} \cup F_{1}$

Every rectangle , rhombus, square in a plane is a parallelogram but every trapezium is not a parallelogram

So, $F_{1}$ is either of $F_{1}, F_{2}, F_{3} a n d F_{4}$

$∴ F_{1} = F_{2} \cup F_{3} \cup F_{4} \cup F_{1}$

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Similar questions

Let $F_{1}$ be the set of all parallelograms, $F_{2}$ the set of rectangles, $F_{3}$ the set of rhombuses, $F_{4}$ the set of squares and $F_{5}$ the set of trapeziums in a plane, then $F_{1}$ is equal to

Q. Let F₁ be the set of all parallelograms, F₂the set of all rectangles, F₃the set of all rhombuses, F₄the set of all squares and F₅the set of trapeziums in a plane. Then F₁ may be equal to

(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}

Q. Let

F_{1}

be the set all of parallelograms,

F_{2}

be the set of the rectangles,

F_{3}

be the set of rhombuses,

F_{4}

be the set of squares

F_{5}

be the set of trapezium in a plane then

F_{1}

Q. If

F_{1}

be the set of all parallelograms,

F_{2}

the set of rectangles,

F_{3}

the set of rhombuses,

F_{4}

the set of squares and

F_{5}

the set of trapeziums in a plane, then

F_{1} \cup F_{2} \cup F_{3} \cup F_{4}

is a subset of

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Let F1 be the set of all parallelograms, F2 the set of all reactangles, F3 the set of all rhombuses, F4 the set of all sqauares and F5 the set of trapeziums in a plane. Then F1 may be equal to

The correct option is D F2∪F3∪F4∪F1 Every rectangle , rhombus, square in a plane is a parallelogram but every trapezium is not a parallelogram So, F1 is either of F1,F2,F3 and F4 ∴F1=F2∪F3∪F4∪F1

Let $F_{1}$ be the set of all parallelograms, $F_{2}$ the set of all reactangles, $F_{3}$ the set of all rhombuses, $F_{4}$ the set of all sqauares and $F_{5}$ the set of trapeziums in a plane. Then $F_{1}$ may be equal to

The correct option is D
$F_{2} \cup F_{3} \cup F_{4} \cup F_{1}$

Every rectangle , rhombus, square in a plane is a parallelogram but every trapezium is not a parallelogram

So, $F_{1}$ is either of $F_{1}, F_{2}, F_{3} a n d F_{4}$

$∴ F_{1} = F_{2} \cup F_{3} \cup F_{4} \cup F_{1}$