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pythagorean-identity MCQ Questions for Class 11

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2 questions tagged with pythagorean-identity.

Question 1/2 Medium Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 72

यदि \(\theta\) प्रथम चतुर्थांश में है और \(\sin \theta=\frac{5}{13}\), तो \(\cos \theta\) का मान क्या होगा?

If \(\theta\) is in the first quadrant and \(\sin \theta=\frac{5}{13}\), what is \(\cos \theta\)?

Explanation opens after your attempt

Correct Answer

A. \(\frac{12}{13}\)

Step 1

Concept

\( \cos^2 \theta=1-\sin^2 \theta=\frac{144}{169}\), and in the first quadrant it is positive. In exams do not forget quadrant sign.

Step 2

Why this answer is correct

The correct answer is A. \(\frac{12}{13}\). \( \cos^2 \theta=1-\sin^2 \theta=\frac{144}{169}\), and in the first quadrant it is positive. In exams do not forget quadrant sign.

Step 3

Exam Tip

\(\cos^2 \theta=1-\sin^2 \theta=\frac{144}{169}\) और प्रथम चतुर्थांश में मान धनात्मक है। परीक्षा में quadrant sign न भूलें।

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Question Page:
https://muftshiksha.com/question/if-theta-is-in-the-first-quadrant-and-sin-theta-frac-5-13-what-is-cos-theta

MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Trigonometric Functions
Topic: Trigonometric functions and their properties
Difficulty: Medium
Level: 72

Question Hindi:
यदि (\theta) प्रथम चतुर्थांश में है और (\sin \theta=\frac{5}{13}), तो (\cos \theta) का मान क्या होगा?

Question English:
If (\theta) is in the first quadrant and (\sin \theta=\frac{5}{13}), what is (\cos \theta)?

Options:
A. (\frac{12}{13})
B. (-\frac{12}{13})
C. (\frac{5}{12})
D. (\frac{13}{12})

Correct Answer:
A. (\frac{12}{13})

Explanation Hindi:
(\cos^2 \theta=1-\sin^2 \theta=\frac{144}{169}) और प्रथम चतुर्थांश में मान धनात्मक है। परीक्षा में quadrant sign न भूलें।

Explanation English:
( \cos^2 \theta=1-\sin^2 \theta=\frac{144}{169}), and in the first quadrant it is positive. In exams do not forget quadrant sign.

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 #Class11 #Study

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Question 2/2 Easy Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 70

मूल सर्वसमिका \(\sin^2 \theta+\cos^2 \theta\) का मान क्या होता है?

What is the value of the basic identity \(\sin^2 \theta+\cos^2 \theta\)?

Explanation opens after your attempt

Correct Answer

C. (1)

Step 1

Concept

\(\sin^2 \theta+\cos^2 \theta=1\) is a basic identity. Use it as a base formula throughout the chapter.

Step 2

Why this answer is correct

The correct answer is C. (1). \(\sin^2 \theta+\cos^2 \theta=1\) is a basic identity. Use it as a base formula throughout the chapter.

Step 3

Exam Tip

\(\sin^2 \theta+\cos^2 \theta=1\) मूल सर्वसमिका है। इसे हर अध्याय में आधार सूत्र की तरह प्रयोग करें।

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-value-of-the-basic-identity-sin-2-theta-cos-2-theta

MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Trigonometric Functions
Topic: Trigonometric functions and their properties
Difficulty: Easy
Level: 70

Question Hindi:
मूल सर्वसमिका (\sin^2 \theta+\cos^2 \theta) का मान क्या होता है?

Question English:
What is the value of the basic identity (\sin^2 \theta+\cos^2 \theta)?

Options:
A. (0)
B. (\sin \theta)
C. (1)
D. (\cos \theta)

Correct Answer:
C. (1)

Explanation Hindi:
(\sin^2 \theta+\cos^2 \theta=1) मूल सर्वसमिका है। इसे हर अध्याय में आधार सूत्र की तरह प्रयोग करें।

Explanation English:
(\sin^2 \theta+\cos^2 \theta=1) is a basic identity. Use it as a base formula throughout the chapter.

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 #Class11 #Study

Open Question

pythagorean-identity MCQ Questions for Class 11

Practice Questions

यदि \(\theta\) प्रथम चतुर्थांश में है और \(\sin \theta=\frac{5}{13}\), तो \(\cos \theta\) का मान क्या होगा?

Concept

Why this answer is correct

Exam Tip

मूल सर्वसमिका \(\sin^2 \theta+\cos^2 \theta\) का मान क्या होता है?

Concept

Why this answer is correct

Exam Tip

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pythagorean-identity MCQ Questions for Class 11

Practice Questions

यदि \(\theta\) प्रथम चतुर्थांश में है और \(\sin \theta=\frac{5}{13}\), तो \(\cos \theta\) का मान क्या होगा?

Concept

Why this answer is correct

Exam Tip

मूल सर्वसमिका \(\sin^2 \theta+\cos^2 \theta\) का मान क्या होता है?

Concept

Why this answer is correct

Exam Tip

pythagorean-identity Revision Links

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