Search: secant-tangent

Question Medium Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 70

यदि \(\sec x+\tan x=5\), तो \(\sec x-\tan x\) का मान क्या है?

If \(\sec x+\tan x=5\), what is the value of \(\sec x-\tan x\)?

Explanation opens after your attempt

Correct Answer

B. \(\frac{1}{5}\)

Step 1

Concept

Since (\(\sec x+\tan x\)\(\sec x-\tan x\)=1). Therefore, the other factor is \(\frac{1}{5}\).

Step 2

Why this answer is correct

The correct answer is B. \(\frac{1}{5}\). Since (\(\sec x+\tan x\)\(\sec x-\tan x\)=1). Therefore, the other factor is \(\frac{1}{5}\).

Step 3

Exam Tip

क्योंकि (\(\sec x+\tan x\)\(\sec x-\tan x\)=1)। इसलिए दूसरा गुणनखंड \(\frac{1}{5}\) होगा।

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/if-sec-x-tan-x-5-what-is-the-value-of-sec-x-tan-x

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

Question Hindi:
यदि (\sec x+\tan x=5), तो (\sec x-\tan x) का मान क्या है?

Question English:
If (\sec x+\tan x=5), what is the value of (\sec x-\tan x)?

Options:
A. (5)
B. (\frac{1}{5})
C. (4)
D. (-5)

Correct Answer:
B. (\frac{1}{5})

Explanation Hindi:
क्योंकि ((\sec x+\tan x)(\sec x-\tan x)=1)। इसलिए दूसरा गुणनखंड (\frac{1}{5}) होगा।

Explanation English:
Since ((\sec x+\tan x)(\sec x-\tan x)=1). Therefore, the other factor is (\frac{1}{5}).

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

Question Easy Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 71

\(\sec^2 \theta-1\) किसके बराबर होता है?

What is \(\sec^2 \theta-1\) equal to?

Explanation opens after your attempt

Correct Answer

A. \(\tan^2 \theta\)

Step 1

Concept

From \(\sec^2 \theta=1+\tan^2 \theta\), we get \(\sec^2 \theta-1=\tan^2 \theta\). Rearrange the formula into a simple form.

Step 2

Why this answer is correct

The correct answer is A. \(\tan^2 \theta\). From \(\sec^2 \theta=1+\tan^2 \theta\), we get \(\sec^2 \theta-1=\tan^2 \theta\). Rearrange the formula into a simple form.

Step 3

Exam Tip

\(\sec^2 \theta=1+\tan^2 \theta\) से \(\sec^2 \theta-1=\tan^2 \theta\) मिलता है। सूत्र को सरल रूप में बदलें।

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-sec-2-theta-1-equal-to

MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Trigonometric Functions
Topic: Trigonometric functions and their properties
Difficulty: Easy
Level: 71

Question Hindi:
(\sec^2 \theta-1) किसके बराबर होता है?

Question English:
What is (\sec^2 \theta-1) equal to?

Options:
A. (\tan^2 \theta)
B. (\cot^2 \theta)
C. (\sin^2 \theta)
D. (\cos^2 \theta)

Correct Answer:
A. (\tan^2 \theta)

Explanation Hindi:
(\sec^2 \theta=1+\tan^2 \theta) से (\sec^2 \theta-1=\tan^2 \theta) मिलता है। सूत्र को सरल रूप में बदलें।

Explanation English:
From (\sec^2 \theta=1+\tan^2 \theta), we get (\sec^2 \theta-1=\tan^2 \theta). Rearrange the formula into a simple form.

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

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

\(\tan^2 \theta+1\) किसके बराबर होता है?

What is \(\tan^2 \theta+1\) equal to?

Explanation opens after your attempt

Correct Answer

B. \(\sec^2 \theta\)

Step 1

Concept

\(\sec^2 \theta=1+\tan^2 \theta\). In questions involving \(\tan \theta\), recognizing \(\sec^2 \theta\) is useful.

Step 2

Why this answer is correct

The correct answer is B. \(\sec^2 \theta\). \(\sec^2 \theta=1+\tan^2 \theta\). In questions involving \(\tan \theta\), recognizing \(\sec^2 \theta\) is useful.

Step 3

Exam Tip

\(\sec^2 \theta=1+\tan^2 \theta\) होता है। \(\tan \theta\) वाले प्रश्नों में \(\sec^2 \theta\) पहचानना उपयोगी है।

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-tan-2-theta-1-equal-to

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

Question Hindi:
(\tan^2 \theta+1) किसके बराबर होता है?

Question English:
What is (\tan^2 \theta+1) equal to?

Options:
A. (\cosec^2 \theta)
B. (\sec^2 \theta)
C. (\cot^2 \theta)
D. (\sin^2 \theta)

Correct Answer:
B. (\sec^2 \theta)

Explanation Hindi:
(\sec^2 \theta=1+\tan^2 \theta) होता है। (\tan \theta) वाले प्रश्नों में (\sec^2 \theta) पहचानना उपयोगी है।

Explanation English:
(\sec^2 \theta=1+\tan^2 \theta). In questions involving (\tan \theta), recognizing (\sec^2 \theta) is useful.

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

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

\(\sec^2 \theta-\tan^2 \theta\) का मान क्या है?

What is the value of \(\sec^2 \theta-\tan^2 \theta\)?

Explanation opens after your attempt

Correct Answer

D. (1)

Step 1

Concept

From \(\sec^2 \theta=1+\tan^2 \theta\), the value is (1). Rearrange the formula to get the answer.

Step 2

Why this answer is correct

The correct answer is D. (1). From \(\sec^2 \theta=1+\tan^2 \theta\), the value is (1). Rearrange the formula to get the answer.

Step 3

Exam Tip

\(\sec^2 \theta=1+\tan^2 \theta\) से मान (1) मिलता है। सूत्र को स्थानांतरित करके उत्तर निकालें।

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-sec-2-theta-tan-2-theta

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

Question Hindi:
(\sec^2 \theta-\tan^2 \theta) का मान क्या है?

Question English:
What is the value of (\sec^2 \theta-\tan^2 \theta)?

Options:
A. (\tan \theta)
B. (\sec \theta)
C. (0)
D. (1)

Correct Answer:
D. (1)

Explanation Hindi:
(\sec^2 \theta=1+\tan^2 \theta) से मान (1) मिलता है। सूत्र को स्थानांतरित करके उत्तर निकालें।

Explanation English:
From (\sec^2 \theta=1+\tan^2 \theta), the value is (1). Rearrange the formula to get the answer.

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

Search Class 10 Questions

यदि \(\sec x+\tan x=5\), तो \(\sec x-\tan x\) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

\(\sec^2 \theta-1\) किसके बराबर होता है?

Concept

Why this answer is correct

Exam Tip

\(\tan^2 \theta+1\) किसके बराबर होता है?

Concept

Why this answer is correct

Exam Tip

\(\sec^2 \theta-\tan^2 \theta\) का मान क्या है?

Concept

Why this answer is correct

Exam Tip

Login to view answers

Select your class first