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rational distinct roots MCQ Questions for Class 10

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2 questions tagged with rational distinct roots.

Question 1/2 Hard Mathematics Quadratic Equations Nature of Roots Class 10 Level 38

यदि (x^-2-2(a+4)x+a^-2+8a+15=0) है, तो मूलों की प्रकृति क्या होगी?

If (x^-2-2(a+4)x+a^-2+8a+15=0), what will be the nature of roots?

Explanation opens after your attempt

Correct Answer

A. हमेशा वास्तविक, परिमेय और भिन्नAlways real, rational and distinct

Step 1

Concept

Here (D=4(a+4)²-4\(a^2+8a+15\)=4). Therefore roots are always real, rational and distinct.

Step 2

Why this answer is correct

The correct answer is A. हमेशा वास्तविक, परिमेय और भिन्न / Always real, rational and distinct. Here (D=4(a+4)²-4\(a^2+8a+15\)=4). Therefore roots are always real, rational and distinct.

Step 3

Exam Tip

यहाँ (D=4(a+4)²-4\(a^2+8a+15\)=4) है। इसलिए मूल हमेशा वास्तविक, परिमेय और भिन्न हैं।

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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.

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Question Page:
https://muftshiksha.com/question/if-x-2-2-a-4-x-a-2-8a-15-0-what-will-be-the-nature-of-roots

MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Quadratic Equations
Topic: Nature of Roots
Difficulty: Hard
Level: 38

Question Hindi:
यदि (x^2-2(a+4)x+a^2+8a+15=0) है, तो मूलों की प्रकृति क्या होगी?

Question English:
If (x^2-2(a+4)x+a^2+8a+15=0), what will be the nature of roots?

Options:
A. हमेशा वास्तविक, परिमेय और भिन्न / Always real, rational and distinct
B. हमेशा वास्तविक और समान / Always real and equal
C. हमेशा वास्तविक नहीं / Always not real
D. प्रकृति (a) पर निर्भर है / Nature depends on (a)

Correct Answer:
A. हमेशा वास्तविक, परिमेय और भिन्न / Always real, rational and distinct

Explanation Hindi:
यहाँ (D=4(a+4)^2-4(a^2+8a+15)=4) है। इसलिए मूल हमेशा वास्तविक, परिमेय और भिन्न हैं।

Explanation English:
Here (D=4(a+4)^2-4(a^2+8a+15)=4). Therefore roots are always real, rational and distinct.

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 #Class10 #Study

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Question 2/2 Easy Mathematics Quadratic Equations Nature of Roots Class 10 Level 39

समीकरण \(3x^2-5x+2=0\) के मूलों की प्रकृति क्या है?

What is the nature of roots of \(3x^2-5x+2=0\)?

Explanation opens after your attempt

Correct Answer

A. वास्तविक, परिमेय और भिन्नReal, rational and distinct

Step 1

Concept

(D=1) is a positive perfect square. Therefore the roots are real, rational and distinct.

Step 2

Why this answer is correct

The correct answer is A. वास्तविक, परिमेय और भिन्न / Real, rational and distinct. (D=1) is a positive perfect square. Therefore the roots are real, rational and distinct.

Step 3

Exam Tip

(D=1) धनात्मक पूर्ण वर्ग है। इसलिए मूल वास्तविक, परिमेय और भिन्न हैं।

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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/what-is-the-nature-of-roots-of-3x-2-5x-2-0

MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Quadratic Equations
Topic: Nature of Roots
Difficulty: Easy
Level: 39

Question Hindi:
समीकरण (3x^2-5x+2=0) के मूलों की प्रकृति क्या है?

Question English:
What is the nature of roots of (3x^2-5x+2=0)?

Options:
A. वास्तविक, परिमेय और भिन्न / Real, rational and distinct
B. वास्तविक और समान / Real and equal
C. वास्तविक नहीं / Not real
D. वास्तविक, अपरिमेय और भिन्न / Real, irrational and distinct

Correct Answer:
A. वास्तविक, परिमेय और भिन्न / Real, rational and distinct

Explanation Hindi:
(D=1) धनात्मक पूर्ण वर्ग है। इसलिए मूल वास्तविक, परिमेय और भिन्न हैं।

Explanation English:
(D=1) is a positive perfect square. Therefore the roots are real, rational and distinct.

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 #Class10 #Study

Open Question

rational distinct roots MCQ Questions for Class 10

Practice Questions

यदि (x^-2-2(a+4)x+a^-2+8a+15=0) है, तो मूलों की प्रकृति क्या होगी?

Concept

Why this answer is correct

Exam Tip

समीकरण \(3x^2-5x+2=0\) के मूलों की प्रकृति क्या है?

Concept

Why this answer is correct

Exam Tip

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rational distinct roots MCQ Questions for Class 10

Practice Questions

यदि (x-2-2(a+4)x+a-2+8a+15=0) है, तो मूलों की प्रकृति क्या होगी?

Concept

Why this answer is correct

Exam Tip

समीकरण \(3x^2-5x+2=0\) के मूलों की प्रकृति क्या है?

Concept

Why this answer is correct

Exam Tip

rational distinct roots Revision Links

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All Subjects

Search rational distinct roots

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यदि (x^-2-2(a+4)x+a^-2+8a+15=0) है, तो मूलों की प्रकृति क्या होगी?