Search: roots-parameter

Question Expert Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 36

यदि (7x^-2-(p+6)x+28=0) के मूल (2) और (2) हैं, तो (p) क्या होगा?

If the roots of (7x^-2-(p+6)x+28=0) are (2) and (2), what is (p)?

Explanation opens after your attempt

Correct Answer

A. (p=22)

Step 1

Concept

The sum of roots is (4), and \(\frac{p+6}{7}=4\), so (p=22). In exams, use \(-\frac{b}{a}\) for the sum.

Step 2

Why this answer is correct

The correct answer is A. (p=22). The sum of roots is (4), and \(\frac{p+6}{7}=4\), so (p=22). In exams, use \(-\frac{b}{a}\) for the sum.

Step 3

Exam Tip

मूलों का योग (4) है और \(\frac{p+6}{7}=4\), इसलिए (p=22) है। परीक्षा में \(-\frac{b}{a}\) से योग निकालें।

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AI Video Prompt 16:9 + 9:16

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Quadratic Equations
Topic: Methods of Solving Quadratic Equations
Difficulty: Expert
Level: 36

Question Hindi:
यदि (7x^2-(p+6)x+28=0) के मूल (2) और (2) हैं, तो (p) क्या होगा?

Question English:
If the roots of (7x^2-(p+6)x+28=0) are (2) and (2), what is (p)?

Options:
A. (p=22)
B. (p=28)
C. (p=14)
D. (p=8)

Correct Answer:
A. (p=22)

Explanation Hindi:
मूलों का योग (4) है और (\frac{p+6}{7}=4), इसलिए (p=22) है। परीक्षा में (-\frac{b}{a}) से योग निकालें।

Explanation English:
The sum of roots is (4), and (\frac{p+6}{7}=4), so (p=22). In exams, use (-\frac{b}{a}) for the sum.

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.
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- 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.

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Question Expert Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 35

यदि (6x^-2-(p+5)x+24=0) के मूल (2) और (2) हैं, तो (p) क्या होगा?

If the roots of (6x^-2-(p+5)x+24=0) are (2) and (2), what is (p)?

Explanation opens after your attempt

Correct Answer

A. (p=19)

Step 1

Concept

The sum of roots is (4), and \(\frac{p+5}{6}=4\), so (p=19). In exams, use \(-\frac{b}{a}\) for the sum.

Step 2

Why this answer is correct

The correct answer is A. (p=19). The sum of roots is (4), and \(\frac{p+5}{6}=4\), so (p=19). In exams, use \(-\frac{b}{a}\) for the sum.

Step 3

Exam Tip

मूलों का योग (4) है और \(\frac{p+5}{6}=4\), इसलिए (p=19) है। परीक्षा में \(-\frac{b}{a}\) से योग निकालें।

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AI Video Prompt 16:9 + 9:16

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MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Quadratic Equations
Topic: Methods of Solving Quadratic Equations
Difficulty: Expert
Level: 35

Question Hindi:
यदि (6x^2-(p+5)x+24=0) के मूल (2) और (2) हैं, तो (p) क्या होगा?

Question English:
If the roots of (6x^2-(p+5)x+24=0) are (2) and (2), what is (p)?

Options:
A. (p=19)
B. (p=24)
C. (p=12)
D. (p=7)

Correct Answer:
A. (p=19)

Explanation Hindi:
मूलों का योग (4) है और (\frac{p+5}{6}=4), इसलिए (p=19) है। परीक्षा में (-\frac{b}{a}) से योग निकालें।

Explanation English:
The sum of roots is (4), and (\frac{p+5}{6}=4), so (p=19). In exams, use (-\frac{b}{a}) for the sum.

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.
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Question Expert Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 34

यदि (5x^-2-(p+4)x+20=0) के मूल (2) और (2) हैं, तो (p) क्या होगा?

If the roots of (5x^-2-(p+4)x+20=0) are (2) and (2), what is (p)?

Explanation opens after your attempt

Correct Answer

A. (p=16)

Step 1

Concept

The sum of roots is (4), and \(\frac{p+4}{5}=4\), so (p=16). In exams, use \(-\frac{b}{a}\) for the sum.

Step 2

Why this answer is correct

The correct answer is A. (p=16). The sum of roots is (4), and \(\frac{p+4}{5}=4\), so (p=16). In exams, use \(-\frac{b}{a}\) for the sum.

Step 3

Exam Tip

मूलों का योग (4) है और \(\frac{p+4}{5}=4\), इसलिए (p=16) है। परीक्षा में \(-\frac{b}{a}\) से योग निकालें।

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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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- Name: Muft Shiksha
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- Style: dark navy futuristic learning game UI, neon cyan/blue glow, gold reward highlights, clean Devanagari text, premium educational look.
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Question Page:
https://muftshiksha.com/question/if-the-roots-of-5x-2-p-4-x-20-0-are-2-and-2-what-is-p

MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Quadratic Equations
Topic: Methods of Solving Quadratic Equations
Difficulty: Expert
Level: 34

Question Hindi:
यदि (5x^2-(p+4)x+20=0) के मूल (2) और (2) हैं, तो (p) क्या होगा?

Question English:
If the roots of (5x^2-(p+4)x+20=0) are (2) and (2), what is (p)?

Options:
A. (p=16)
B. (p=20)
C. (p=12)
D. (p=8)

Correct Answer:
A. (p=16)

Explanation Hindi:
मूलों का योग (4) है और (\frac{p+4}{5}=4), इसलिए (p=16) है। परीक्षा में (-\frac{b}{a}) से योग निकालें।

Explanation English:
The sum of roots is (4), and (\frac{p+4}{5}=4), so (p=16). In exams, use (-\frac{b}{a}) for the sum.

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 Hard Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 36

यदि (4x^-2-(p-1)x+9=0) के मूल \(\frac{3}{2}\) और \(\frac{3}{2}\) हैं, तो (p) क्या होगा?

If the roots of (4x^-2-(p-1)x+9=0) are \(\frac{3}{2}\) and \(\frac{3}{2}\), what is (p)?

Explanation opens after your attempt

Correct Answer

A. (p=13)

Step 1

Concept

The sum of roots is (3), and \(\frac{p-1}{4}=3\), so (p=13). In exams, use \(-\frac{b}{a}\) for the sum of roots.

Step 2

Why this answer is correct

The correct answer is A. (p=13). The sum of roots is (3), and \(\frac{p-1}{4}=3\), so (p=13). In exams, use \(-\frac{b}{a}\) for the sum of roots.

Step 3

Exam Tip

मूलों का योग (3) है और \(\frac{p-1}{4}=3\), इसलिए (p=13) है। परीक्षा में मूलों का योग \(-\frac{b}{a}\) से लें।

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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.
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Question Page:
https://muftshiksha.com/question/if-the-roots-of-4x-2-p-1-x-9-0-are-frac-3-2-and-frac-3-2-what-is-p

MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Quadratic Equations
Topic: Methods of Solving Quadratic Equations
Difficulty: Hard
Level: 36

Question Hindi:
यदि (4x^2-(p-1)x+9=0) के मूल (\frac{3}{2}) और (\frac{3}{2}) हैं, तो (p) क्या होगा?

Question English:
If the roots of (4x^2-(p-1)x+9=0) are (\frac{3}{2}) and (\frac{3}{2}), what is (p)?

Options:
A. (p=13)
B. (p=11)
C. (p=9)
D. (p=7)

Correct Answer:
A. (p=13)

Explanation Hindi:
मूलों का योग (3) है और (\frac{p-1}{4}=3), इसलिए (p=13) है। परीक्षा में मूलों का योग (-\frac{b}{a}) से लें।

Explanation English:
The sum of roots is (3), and (\frac{p-1}{4}=3), so (p=13). In exams, use (-\frac{b}{a}) for the sum of roots.

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.
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Question Hard Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 35

यदि (3x^-2-(p+2)x+12=0) के मूल (2) और (2) हैं, तो (p) क्या होगा?

If the roots of (3x^-2-(p+2)x+12=0) are (2) and (2), what is (p)?

Explanation opens after your attempt

Correct Answer

A. (p=10)

Step 1

Concept

The sum of roots is (4), and \(\frac{p+2}{3}=4\), so (p=10). In exams, find the sum of roots using \(-\frac{b}{a}\).

Step 2

Why this answer is correct

The correct answer is A. (p=10). The sum of roots is (4), and \(\frac{p+2}{3}=4\), so (p=10). In exams, find the sum of roots using \(-\frac{b}{a}\).

Step 3

Exam Tip

मूलों का योग (4) है और \(\frac{p+2}{3}=4\), इसलिए (p=10) है। परीक्षा में मूलों का योग \(-\frac{b}{a}\) से निकालें।

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AI Video Prompt 16:9 + 9:16

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Brand:
- Name: Muft Shiksha
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Question Page:
https://muftshiksha.com/question/if-the-roots-of-3x-2-p-2-x-12-0-are-2-and-2-what-is-p

MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Quadratic Equations
Topic: Methods of Solving Quadratic Equations
Difficulty: Hard
Level: 35

Question Hindi:
यदि (3x^2-(p+2)x+12=0) के मूल (2) और (2) हैं, तो (p) क्या होगा?

Question English:
If the roots of (3x^2-(p+2)x+12=0) are (2) and (2), what is (p)?

Options:
A. (p=10)
B. (p=6)
C. (p=12)
D. (p=4)

Correct Answer:
A. (p=10)

Explanation Hindi:
मूलों का योग (4) है और (\frac{p+2}{3}=4), इसलिए (p=10) है। परीक्षा में मूलों का योग (-\frac{b}{a}) से निकालें।

Explanation English:
The sum of roots is (4), and (\frac{p+2}{3}=4), so (p=10). In exams, find the sum of roots using (-\frac{b}{a}).

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 Hard Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 34

यदि (2x^-2-(p+3)x+8=0) के मूल (2) और (4) हैं, तो (p) क्या होगा?

If the roots of (2x^-2-(p+3)x+8=0) are (2) and (4), what is (p)?

Explanation opens after your attempt

Correct Answer

A. (p=9)

Step 1

Concept

The sum of roots is (2+4=6), and \(\frac{p+3}{2}=6\), so (p=9). In exams, use \(-\frac{b}{a}\) for sum of roots.

Step 2

Why this answer is correct

The correct answer is A. (p=9). The sum of roots is (2+4=6), and \(\frac{p+3}{2}=6\), so (p=9). In exams, use \(-\frac{b}{a}\) for sum of roots.

Step 3

Exam Tip

मूलों का योग (2+4=6) है और \(\frac{p+3}{2}=6\), इसलिए (p=9) है। परीक्षा में \( -\frac{b}{a}\) से मूलों का योग लें।

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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-roots-of-2x-2-p-3-x-8-0-are-2-and-4-what-is-p

MCQ Data:
Class: Class 10
Subject: Mathematics
Chapter: Quadratic Equations
Topic: Methods of Solving Quadratic Equations
Difficulty: Hard
Level: 34

Question Hindi:
यदि (2x^2-(p+3)x+8=0) के मूल (2) और (4) हैं, तो (p) क्या होगा?

Question English:
If the roots of (2x^2-(p+3)x+8=0) are (2) and (4), what is (p)?

Options:
A. (p=9)
B. (p=5)
C. (p=12)
D. (p=3)

Correct Answer:
A. (p=9)

Explanation Hindi:
मूलों का योग (2+4=6) है और (\frac{p+3}{2}=6), इसलिए (p=9) है। परीक्षा में ( -\frac{b}{a}) से मूलों का योग लें।

Explanation English:
The sum of roots is (2+4=6), and (\frac{p+3}{2}=6), so (p=9). In exams, use (-\frac{b}{a}) for sum of roots.

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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Search Class 10 Questions

यदि (7x-2-(p+6)x+28=0) के मूल (2) और (2) हैं, तो (p) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि (6x-2-(p+5)x+24=0) के मूल (2) और (2) हैं, तो (p) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि (5x-2-(p+4)x+20=0) के मूल (2) और (2) हैं, तो (p) क्या होगा?

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यदि (4x-2-(p-1)x+9=0) के मूल \(\frac{3}{2}\) और \(\frac{3}{2}\) हैं, तो (p) क्या होगा?

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यदि (3x-2-(p+2)x+12=0) के मूल (2) और (2) हैं, तो (p) क्या होगा?

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यदि (2x-2-(p+3)x+8=0) के मूल (2) और (4) हैं, तो (p) क्या होगा?

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यदि (7x^-2-(p+6)x+28=0) के मूल (2) और (2) हैं, तो (p) क्या होगा?

यदि (6x^-2-(p+5)x+24=0) के मूल (2) और (2) हैं, तो (p) क्या होगा?

यदि (5x^-2-(p+4)x+20=0) के मूल (2) और (2) हैं, तो (p) क्या होगा?

यदि (4x^-2-(p-1)x+9=0) के मूल \(\frac{3}{2}\) और \(\frac{3}{2}\) हैं, तो (p) क्या होगा?

यदि (3x^-2-(p+2)x+12=0) के मूल (2) और (2) हैं, तो (p) क्या होगा?

यदि (2x^-2-(p+3)x+8=0) के मूल (2) और (4) हैं, तो (p) क्या होगा?