Search: equal condition

Question Hard Mathematics Quadratic Equations Nature of Roots Class 10 Level 37

समीकरण (x^-2-(a+b)x+ab=0) के मूल समान कब होंगे?

When will the roots of (x^-2-(a+b)x+ab=0) be equal?

Explanation opens after your attempt

Correct Answer

A. (a=b)

Step 1

Concept

Here (D=(a+b)²-4ab=(a-b)²). For equal roots (D=0), hence (a=b).

Step 2

Why this answer is correct

The correct answer is A. (a=b). Here (D=(a+b)²-4ab=(a-b)²). For equal roots (D=0), hence (a=b).

Step 3

Exam Tip

यहाँ (D=(a+b)²-4ab=(a-b)²) है। समान मूलों के लिए (D=0), अतः (a=b)।

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/when-will-the-roots-of-x-2-a-b-x-ab-0-be-equal

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

Question Hindi:
समीकरण (x^2-(a+b)x+ab=0) के मूल समान कब होंगे?

Question English:
When will the roots of (x^2-(a+b)x+ab=0) be equal?

Options:
A. (a=b)
B. (a+b=0)
C. (ab=1)
D. (a=0) और (b=0) केवल / (a=0) and (b=0) only

Correct Answer:
A. (a=b)

Explanation Hindi:
यहाँ (D=(a+b)^2-4ab=(a-b)^2) है। समान मूलों के लिए (D=0), अतः (a=b)।

Explanation English:
Here (D=(a+b)^2-4ab=(a-b)^2). For equal roots (D=0), hence (a=b).

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

Search Class 10 Questions

समीकरण (x-2-(a+b)x+ab=0) के मूल समान कब होंगे?

Concept

Why this answer is correct

Exam Tip

Login to view answers

Select your class first

समीकरण (x^-2-(a+b)x+ab=0) के मूल समान कब होंगे?