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always real distinct MCQ Questions for Class 10

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2 questions tagged with always real distinct.

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

यदि (x^-2-2(k-3)x+k^-2-6k+8=0) है, तो मूलों की प्रकृति क्या है?

If (x^-2-2(k-3)x+k^-2-6k+8=0), what is the nature of roots?

Explanation opens after your attempt

Correct Answer

A. हमेशा वास्तविक और भिन्नAlways real and distinct

Step 1

Concept

Here (D=4(k-3)²-4\(k^2-6k+8\)=4>0). Therefore roots are always real and distinct.

Step 2

Why this answer is correct

The correct answer is A. हमेशा वास्तविक और भिन्न / Always real and distinct. Here (D=4(k-3)²-4\(k^2-6k+8\)=4>0). Therefore roots are always real and distinct.

Step 3

Exam Tip

यहाँ (D=4(k-3)²-4\(k^2-6k+8\)=4>0) है। इसलिए मूल हमेशा वास्तविक 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/if-x-2-2-k-3-x-k-2-6k-8-0-what-is-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(k-3)x+k^2-6k+8=0) है, तो मूलों की प्रकृति क्या है?

Question English:
If (x^2-2(k-3)x+k^2-6k+8=0), what is the nature of roots?

Options:
A. हमेशा वास्तविक और भिन्न / Always real and distinct
B. हमेशा वास्तविक और समान / Always real and equal
C. वास्तविक मूल नहीं / No real roots
D. प्रकृति (k) पर निर्भर / Nature depends on (k)

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

Explanation Hindi:
यहाँ (D=4(k-3)^2-4(k^2-6k+8)=4>0) है। इसलिए मूल हमेशा वास्तविक और भिन्न हैं।

Explanation English:
Here (D=4(k-3)^2-4(k^2-6k+8)=4>0). Therefore roots are always real 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 Hard Mathematics Quadratic Equations Nature of Roots Class 10 Level 37

समीकरण (2x^-2-4ax+\(2a^2-3\)=0) के मूलों की प्रकृति क्या है?

What is the nature of roots of (2x^-2-4ax+\(2a^2-3\)=0)?

Explanation opens after your attempt

Correct Answer

A. हमेशा वास्तविक और भिन्नAlways real and distinct

Step 1

Concept

Here (D=(-4a)²-4(2)\(2a^2-3\)=24>0). Thus roots are always real and distinct.

Step 2

Why this answer is correct

The correct answer is A. हमेशा वास्तविक और भिन्न / Always real and distinct. Here (D=(-4a)²-4(2)\(2a^2-3\)=24>0). Thus roots are always real and distinct.

Step 3

Exam Tip

यहाँ (D=(-4a)²-4(2)\(2a^2-3\)=24>0) है। इसलिए मूल हमेशा वास्तविक और भिन्न हैं।

Open Question Page

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-2x-2-4ax-2a-2-3-0

MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Quadratic Equations
Topic: Nature of Roots
Difficulty: Hard
Level: 37

Question Hindi:
समीकरण (2x^2-4ax+(2a^2-3)=0) के मूलों की प्रकृति क्या है?

Question English:
What is the nature of roots of (2x^2-4ax+(2a^2-3)=0)?

Options:
A. हमेशा वास्तविक और भिन्न / Always real and distinct
B. हमेशा वास्तविक और समान / Always real and equal
C. हमेशा वास्तविक नहीं / Always not real
D. सिर्फ (a=0) पर वास्तविक / Real only when (a=0)

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

Explanation Hindi:
यहाँ (D=(-4a)^2-4(2)(2a^2-3)=24>0) है। इसलिए मूल हमेशा वास्तविक और भिन्न हैं।

Explanation English:
Here (D=(-4a)^2-4(2)(2a^2-3)=24>0). Thus roots are always real 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

always real distinct MCQ Questions for Class 10

Practice Questions

यदि (x^-2-2(k-3)x+k^-2-6k+8=0) है, तो मूलों की प्रकृति क्या है?

Concept

Why this answer is correct

Exam Tip

समीकरण (2x^-2-4ax+\(2a^2-3\)=0) के मूलों की प्रकृति क्या है?

Concept

Why this answer is correct

Exam Tip

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always real distinct MCQ Questions for Class 10

Practice Questions

यदि (x-2-2(k-3)x+k-2-6k+8=0) है, तो मूलों की प्रकृति क्या है?

Concept

Why this answer is correct

Exam Tip

समीकरण (2x-2-4ax+\(2a^2-3\)=0) के मूलों की प्रकृति क्या है?

Concept

Why this answer is correct

Exam Tip

always real distinct Revision Links

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All Subjects

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यदि (x^-2-2(k-3)x+k^-2-6k+8=0) है, तो मूलों की प्रकृति क्या है?

समीकरण (2x^-2-4ax+\(2a^2-3\)=0) के मूलों की प्रकृति क्या है?