Class 12 arctan arccot MCQ Questions

Question 1/3 Medium Mathematics Inverse Trigonometric Functions Introduction to inverse trigonometric functions Class 12 Level 31

\(\tan^{-1}x+\cot^{-1}x\) का मान क्या है, जहाँ (x>0)?

What is \(\tan^{-1}x+\cot^{-1}x\), where (x>0)?

Explanation opens after your attempt

Correct Answer

B. \(\frac{\pi}{2}\)

Step 1

Concept

For positive (x), \(\tan^{-1}x+\cot^{-1}x=\frac{\pi}{2}\). Be careful when the sign changes.

Step 2

Why this answer is correct

The correct answer is B. \(\frac{\pi}{2}\). For positive (x), \(\tan^{-1}x+\cot^{-1}x=\frac{\pi}{2}\). Be careful when the sign changes.

Step 3

Exam Tip

धनात्मक (x) के लिए \(\tan^{-1}x+\cot^{-1}x=\frac{\pi}{2}\) होता है। चिह्न बदलने पर सावधानी रखें।

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MCQ Data:
Class: Class 12
Subject: Mathematics
Chapter: Inverse Trigonometric Functions
Topic: Introduction to inverse trigonometric functions
Difficulty: Medium
Level: 31

Question Hindi:
(\tan^{-1}x+\cot^{-1}x) का मान क्या है, जहाँ (x>0)?

Question English:
What is (\tan^{-1}x+\cot^{-1}x), where (x>0)?

Options:
A. (\frac{\pi}{4})
B. (\frac{\pi}{2})
C. (\pi)
D. (0)

Correct Answer:
B. (\frac{\pi}{2})

Explanation Hindi:
धनात्मक (x) के लिए (\tan^{-1}x+\cot^{-1}x=\frac{\pi}{2}) होता है। चिह्न बदलने पर सावधानी रखें।

Explanation English:
For positive (x), (\tan^{-1}x+\cot^{-1}x=\frac{\pi}{2}). Be careful when the sign changes.

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".

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- Make 9:16 version for Shorts/Reels.
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Question 2/3 Easy Mathematics Inverse Trigonometric Functions Introduction to inverse trigonometric functions Class 12 Level 33

यदि (x>0) हो तो \(\tan^{-1}x+\cot^{-1}x\) का मान क्या है?

If (x>0), what is the value of \(\tan^{-1}x+\cot^{-1}x\)?

Explanation opens after your attempt

Correct Answer

A. \(\frac{\pi}{2}\)

Step 1

Concept

When (x>0), \(\tan^{-1}x+\cot^{-1}x=\frac{\pi}{2}\). Keep the principal range of \(\cot^{-1}x\) in mind.

Step 2

Why this answer is correct

The correct answer is A. \(\frac{\pi}{2}\). When (x>0), \(\tan^{-1}x+\cot^{-1}x=\frac{\pi}{2}\). Keep the principal range of \(\cot^{-1}x\) in mind.

Step 3

Exam Tip

जब (x>0) हो तो \(\tan^{-1}x+\cot^{-1}x=\frac{\pi}{2}\) होता है। \(\cot^{-1}x\) की प्रधान सीमा का ध्यान रखें।

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AI Video Prompt 16:9 + 9:16

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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:
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MCQ Data:
Class: Class 12
Subject: Mathematics
Chapter: Inverse Trigonometric Functions
Topic: Introduction to inverse trigonometric functions
Difficulty: Easy
Level: 33

Question Hindi:
यदि (x>0) हो तो (\tan^{-1}x+\cot^{-1}x) का मान क्या है?

Question English:
If (x>0), what is the value of (\tan^{-1}x+\cot^{-1}x)?

Options:
A. (\frac{\pi}{2})
B. (\pi)
C. (\frac{\pi}{4})
D. (\0)

Correct Answer:
A. (\frac{\pi}{2})

Explanation Hindi:
जब (x>0) हो तो (\tan^{-1}x+\cot^{-1}x=\frac{\pi}{2}) होता है। (\cot^{-1}x) की प्रधान सीमा का ध्यान रखें।

Explanation English:
When (x>0), (\tan^{-1}x+\cot^{-1}x=\frac{\pi}{2}). Keep the principal range of (\cot^{-1}x) in mind.

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 3/3 Easy Mathematics Inverse Trigonometric Functions Introduction to inverse trigonometric functions Class 12 Level 32

\(\tan^{-1}x+\cot^{-1}x\) का मान क्या है?

What is the value of \(\tan^{-1}x+\cot^{-1}x\)?

Explanation opens after your attempt

Correct Answer

A. \(\frac{\pi}{2}\)

Step 1

Concept

The identity \(\tan^{-1}x+\cot^{-1}x=\frac{\pi}{2}\) is used for all real (x). This is a very useful introductory identity.

Step 2

Why this answer is correct

The correct answer is A. \(\frac{\pi}{2}\). The identity \(\tan^{-1}x+\cot^{-1}x=\frac{\pi}{2}\) is used for all real (x). This is a very useful introductory identity.

Step 3

Exam Tip

\(\tan^{-1}x+\cot^{-1}x=\frac{\pi}{2}\) सभी वास्तविक (x) के लिए लिया जाता है। यह बहुत उपयोगी प्रारंभिक पहचान 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/what-is-the-value-of-tan-1-x-cot-1-x

MCQ Data:
Class: Class 12
Subject: Mathematics
Chapter: Inverse Trigonometric Functions
Topic: Introduction to inverse trigonometric functions
Difficulty: Easy
Level: 32

Question Hindi:
(\tan^{-1}x+\cot^{-1}x) का मान क्या है?

Question English:
What is the value of (\tan^{-1}x+\cot^{-1}x)?

Options:
A. (\frac{\pi}{2})
B. (\pi)
C. (0)
D. (x)

Correct Answer:
A. (\frac{\pi}{2})

Explanation Hindi:
(\tan^{-1}x+\cot^{-1}x=\frac{\pi}{2}) सभी वास्तविक (x) के लिए लिया जाता है। यह बहुत उपयोगी प्रारंभिक पहचान है।

Explanation English:
The identity (\tan^{-1}x+\cot^{-1}x=\frac{\pi}{2}) is used for all real (x). This is a very useful introductory identity.

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

Open Question

arctan arccot MCQ Questions for Class 12

Practice Questions

\(\tan^{-1}x+\cot^{-1}x\) का मान क्या है, जहाँ (x>0)?

Concept

Why this answer is correct

Exam Tip

यदि (x>0) हो तो \(\tan^{-1}x+\cot^{-1}x\) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

\(\tan^{-1}x+\cot^{-1}x\) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

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arctan arccot MCQ Questions for Class 12

Practice Questions

\(\tan^{-1}x+\cot^{-1}x\) का मान क्या है, जहाँ (x>0)?

Concept

Why this answer is correct

Exam Tip

यदि (x>0) हो तो \(\tan^{-1}x+\cot^{-1}x\) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

\(\tan^{-1}x+\cot^{-1}x\) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

arctan arccot Revision Links

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