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directed graph MCQ Questions for Class 12

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2 questions tagged with directed graph.

Question 1/2 Expert Mathematics Relations and Functions Symmetric relation Class 12 Level 11

निर्देशित आरेख में सममित संबंध पहचानने का सही तरीका कौन-सा है?

What is the correct way to identify a symmetric relation in a directed graph?

Explanation opens after your attempt

Correct Answer

A. हर तीर के साथ विपरीत दिशा का तीर भी होEvery arrow has a reverse arrow

Step 1

Concept

In a directed graph, ((a,b)) is shown by an arrow from (a) to (b).

Step 2

Why this answer is correct

Symmetry requires the reverse arrow from (b) to (a).

Step 3

Exam Tip

In graph questions, carefully check every two-way pair. चरण 1: निर्देशित आरेख में ((a,b)) को (a) से (b) की ओर तीर से दिखाते हैं। चरण 2: सममितता के लिए (b) से (a) की ओर विपरीत तीर भी चाहिए। चरण 3: चित्र वाले प्रश्नों में हर दो-तरफा जोड़ी को ध्यान से जाँचें।

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MCQ Data:
Class: Class 12
Subject: Mathematics
Chapter: Relations and Functions
Topic: Symmetric relation
Difficulty: Expert
Level: 11

Question Hindi:
निर्देशित आरेख में सममित संबंध पहचानने का सही तरीका कौन-सा है?

Question English:
What is the correct way to identify a symmetric relation in a directed graph?

Options:
A. हर तीर के साथ विपरीत दिशा का तीर भी हो / Every arrow has a reverse arrow
B. हर बिंदु पर केवल स्वयं-चक्र हो / Every vertex has only a loop
C. किसी भी दो बिंदुओं के बीच तीर न हो / There is no arrow between any two vertices
D. सभी तीर केवल एक ही दिशा में हों / All arrows are in only one direction

Correct Answer:
A. हर तीर के साथ विपरीत दिशा का तीर भी हो / Every arrow has a reverse arrow

Explanation Hindi:
चरण 1: निर्देशित आरेख में ((a,b)) को (a) से (b) की ओर तीर से दिखाते हैं। चरण 2: सममितता के लिए (b) से (a) की ओर विपरीत तीर भी चाहिए। चरण 3: चित्र वाले प्रश्नों में हर दो-तरफा जोड़ी को ध्यान से जाँचें।

Explanation English:
Step 1: In a directed graph, ((a,b)) is shown by an arrow from (a) to (b). Step 2: Symmetry requires the reverse arrow from (b) to (a). Step 3: In graph questions, carefully check every two-way pair.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

Custom Support:
- Make 16:9 version for YouTube/Facebook.
- Make 9:16 version for Shorts/Reels.
- Add Hindi-English natural voice-over.
- Add readable subtitles.
- Add light background music, low volume.
- Keep all text inside safe margins.
- Use smooth transitions, no clutter, no watermark except Muft Shiksha branding.
- Formula/Math/Chemistry text must stay exactly readable; use LaTeX-style clean rendering where needed.

Output Needed:
- Final narration script.
- Scene-by-scene visual direction.
- Text overlays for 16:9 and 9:16.
- Thumbnail idea.
- Hashtags: #MuftShiksha #FreeEducation #MCQ #Quiz #Class12 #Study

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Question 2/2 Hard Mathematics Relations and Functions Symmetric relation Class 12 Level 10

यदि किसी संबंध की निर्देशित आकृति में (x) से (y) तक तीर है, तो सममित संबंध के लिए क्या जरूरी है?

If the directed graph of a relation has an arrow from (x) to (y), what is necessary for the relation to be symmetric?

Explanation opens after your attempt

Correct Answer

A. (y) से (x) तक भी तीर होThere must also be an arrow from (y) to (x)

Step 1

Concept

An arrow from (x) to (y) represents \((x,y)\in R\).

Step 2

Why this answer is correct

Symmetry requires \((y,x)\in R\) as well.

Step 3

Exam Tip

Therefore an arrow in the reverse direction is necessary. चरण 1: निर्देशित आकृति में तीर (x) से (y) का अर्थ \((x,y)\in R\) है। चरण 2: सममितता के लिए \((y,x)\in R\) भी होना चाहिए। चरण 3: इसलिए उलटी दिशा का तीर जरूरी है।

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AI Video Prompt 16:9 + 9:16

Is question ka premium MCQ video banane ke liye ready prompt. Copy karke Sora, Runway, Canva AI, CapCut AI, ChatGPT video workflow ya editor me use karein.

Create a premium AI MCQ quiz video for Muft Shiksha in BOTH formats: 16:9 landscape and 9:16 vertical short.

Brand:
- Name: Muft Shiksha
- Website: https://muftshiksha.com
- Style: dark navy futuristic learning game UI, neon cyan/blue glow, gold reward highlights, clean Devanagari text, premium educational look.
- Do not add wrong facts. Do not change the question, options or answer.

Question Page:
https://muftshiksha.com/question/if-the-directed-graph-of-a-relation-has-an-arrow-from-x-to-y-what-is-necessary-for-the-rel

MCQ Data:
Class: Class 12
Subject: Mathematics
Chapter: Relations and Functions
Topic: Symmetric relation
Difficulty: Hard
Level: 10

Question Hindi:
यदि किसी संबंध की निर्देशित आकृति में (x) से (y) तक तीर है, तो सममित संबंध के लिए क्या जरूरी है?

Question English:
If the directed graph of a relation has an arrow from (x) to (y), what is necessary for the relation to be symmetric?

Options:
A. (y) से (x) तक भी तीर हो / There must also be an arrow from (y) to (x)
B. (x) पर घेरा जरूर हो / There must be a loop at (x)
C. (y) पर घेरा जरूर हो / There must be a loop at (y)
D. कोई और तीर नहीं होना चाहिए / There must be no other arrow

Correct Answer:
A. (y) से (x) तक भी तीर हो / There must also be an arrow from (y) to (x)

Explanation Hindi:
चरण 1: निर्देशित आकृति में तीर (x) से (y) का अर्थ ((x,y)\in R) है। चरण 2: सममितता के लिए ((y,x)\in R) भी होना चाहिए। चरण 3: इसलिए उलटी दिशा का तीर जरूरी है।

Explanation English:
Step 1: An arrow from (x) to (y) represents ((x,y)\in R). Step 2: Symmetry requires ((y,x)\in R) as well. Step 3: Therefore an arrow in the reverse direction is necessary.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

Custom Support:
- Make 16:9 version for YouTube/Facebook.
- Make 9:16 version for Shorts/Reels.
- Add Hindi-English natural voice-over.
- Add readable subtitles.
- Add light background music, low volume.
- Keep all text inside safe margins.
- Use smooth transitions, no clutter, no watermark except Muft Shiksha branding.
- Formula/Math/Chemistry text must stay exactly readable; use LaTeX-style clean rendering where needed.

Output Needed:
- Final narration script.
- Scene-by-scene visual direction.
- Text overlays for 16:9 and 9:16.
- Thumbnail idea.
- Hashtags: #MuftShiksha #FreeEducation #MCQ #Quiz #Class12 #Study

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directed graph MCQ Questions for Class 12

Practice Questions

निर्देशित आरेख में सममित संबंध पहचानने का सही तरीका कौन-सा है?

Concept

Why this answer is correct

Exam Tip

यदि किसी संबंध की निर्देशित आकृति में (x) से (y) तक तीर है, तो सममित संबंध के लिए क्या जरूरी है?

Concept

Why this answer is correct

Exam Tip

directed graph Revision Links

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directed graph MCQ Questions for Class 12

Practice Questions

निर्देशित आरेख में सममित संबंध पहचानने का सही तरीका कौन-सा है?

Concept

Why this answer is correct

Exam Tip

यदि किसी संबंध की निर्देशित आकृति में (x) से (y) तक तीर है, तो सममित संबंध के लिए क्या जरूरी है?

Concept

Why this answer is correct

Exam Tip

directed graph Revision Links

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