Venn Diagrams

Venn Diagrams

Posted by Sarkari-Form.com

Saturday, September 29, 2018

Set Theory

To aap jaanna chahte hai ki Venn Diagrams kya hain aur Venn Diagrams ka use kaha par hota hai? Agar aap jaanna chahte hain Venn Diagrams ke baare mein to aap is waqt ek dum sahi jagah par hain.

Friends iss article mein me aapko bataane waala hoon Venn Diagrams ke baare mein. To bane rahiye mere saath iss article ke end tak!

Friends maine apne previous article mein aapko set ke baare mein bataya tha aur set ke kitne types hote hain ye bhi bataaya tha. Agar aapne mere unn articles ko padh liya hai to aap aage proceed kijiye aur agar aapne wo articles nahi padhe hain to pehle unko padhiye kyuki ye article aapko tabhi samajh mein aayenga jab aapne wo articles padh kar samajh liye ho. Unn articles ko padhne ke liye iss blue link par click kijiye >>>

• What is Set ? 
• Types of Set 

 Read Also: 

• Signs and Symbols in Set

To chaliye ab start karte hain aaj ka topic- Venn Diagrams.

Let's Begin... 

Venn Diagrams 

Sets ke beech ke bahut saare relationships ko kuch diagrams ke maadhyam se represent kiya jaa sakta hai jisko 'Venn Diagrams' kehte hain. Venn diagram - ye naam(name) ek English logician 'John Venn' (1834 -1883) ke naam(name) par rakha gaya hai. Venn diagrams rectangle aur closed curves usually circles jaise shapes se milkar(consist of) bantaa hai. Venn diagram main Universal set ko usually ek rectangle se aur uske subsets ko circles se show kiya jaata hai. Hum iss rectangle aur circles ko apne suvidha ke according kisi bhi size ka (chhota ya bada) bana sakte hain. 

Venn diagrams mein, set ke elements ko unke circles ke andar likhte hain. 

Chaliye Venn diagrams ko samjhane ke liye kuch examples lete hain. 

Ex.1. A = {1, 2, 3}, B = {4, 5, 6}, U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Show the sets in Venn diagram.

Solution: 

Ex.2. A = {a, b, c}, B = {a, d, e} and U = {a, b, c, d, e, f}. Show the relation between sets in Venn diagram. 

Solution: 

Ex.3. Let A = {1, 2, 4}, B = {1, 2, 6}, C = {1, 4, 8} and U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Show the information using Venn diagram. 

Solution: 

To ab aap samajh gaye honge ki Venn diagrams kaise banaate hain. 

Chaliye ab kuch situations ke Venn Diagrams dekh lete hain jo aksar(often) Set Theory mein dekhne ko milte hain. 

Some Common Venn Diagrams of Sets

For two sets:

(i) A⋃B

Coloured part is A⋃B.
(If A⋂B ≠ Φ)

Coloured part is A⋃B.
(If A⋂B = Φ)

(ii) A⋂B

Coloured part is A⋂B.
(If A⋂B ≠ Φ)

If A⋂B = Φ then Venn Diagram is not possible so there is no coloured part.

For three sets:

(i) A⋃B⋃C

Coloured part is A⋃B⋃C.
(If A⋂B⋂C ≠ Φ)

Coloured part is A⋃B⋃C.
(If A⋂B⋂C = Φ)

(ii) A⋂B⋂C

Coloured part is A⋂B⋂C.
(If A⋂B⋂C ≠ Φ)

If A⋂B⋂C = Φ then Venn Diagram is not possible so there is no coloured part.

Read More:

• Union of Sets
• Intersection of Sets
• Difference of Sets
• Complement of Set
• Symmetric Difference of Sets

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