Class 11 trigonometry angles principal hard class11 MCQ Q...

Question 1/4 Hard Mathematics Trigonometric Functions Angles Class 11 Level 68

यदि \(\theta\) का मुख्य कोण \(280^\circ\) है, तो \(-\theta\) का मुख्य कोण क्या होगा?

If the principal angle of \(\theta\) is \(280^\circ\), what is the principal angle of \(-\theta\)?

Explanation opens after your attempt

Correct Answer

A. \(80^\circ\)

Step 1

Concept

\(-280^\circ+360^\circ=80^\circ\). In exams, add \(360^\circ\) to make a negative angle positive.

Step 2

Why this answer is correct

The correct answer is A. \(80^\circ\). \(-280^\circ+360^\circ=80^\circ\). In exams, add \(360^\circ\) to make a negative angle positive.

Step 3

Exam Tip

\(-280^\circ+360^\circ=80^\circ\)। परीक्षा में ऋणात्मक कोण को धनात्मक बनाने के लिए \(360^\circ\) जोड़ें।

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MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Trigonometric Functions
Topic: Angles
Difficulty: Hard
Level: 68

Question Hindi:
यदि (\theta) का मुख्य कोण (280^\circ) है, तो (-\theta) का मुख्य कोण क्या होगा?

Question English:
If the principal angle of (\theta) is (280^\circ), what is the principal angle of (-\theta)?

Options:
A. (80^\circ)
B. (100^\circ)
C. (260^\circ)
D. (300^\circ)

Correct Answer:
A. (80^\circ)

Explanation Hindi:
(-280^\circ+360^\circ=80^\circ)। परीक्षा में ऋणात्मक कोण को धनात्मक बनाने के लिए (360^\circ) जोड़ें।

Explanation English:
(-280^\circ+360^\circ=80^\circ). In exams, add (360^\circ) to make a negative angle positive.

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Question 2/4 Hard Mathematics Trigonometric Functions Angles Class 11 Level 68

यदि एक कोण \(\frac{31\pi}{3}\) है, तो उसका मुख्य कोण क्या होगा?

If an angle is \(\frac{31\pi}{3}\), what is its principal angle?

Explanation opens after your attempt

Correct Answer

A. \(\frac{\pi}{3}\)

Step 1

Concept

Remove \(\frac{30\pi}{3}=10\pi\) from \(\frac{31\pi}{3}\) to get \(\frac{\pi}{3}\). In exams, remove the nearest multiple of \(2\pi\).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{\pi}{3}\). Remove \(\frac{30\pi}{3}=10\pi\) from \(\frac{31\pi}{3}\) to get \(\frac{\pi}{3}\). In exams, remove the nearest multiple of \(2\pi\).

Step 3

Exam Tip

\(\frac{31\pi}{3}\) में से \(\frac{30\pi}{3}=10\pi\) हटाने पर \(\frac{\pi}{3}\) मिलता है। परीक्षा में \(2\pi\) के निकटतम गुणज हटाइए।

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MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Trigonometric Functions
Topic: Angles
Difficulty: Hard
Level: 68

Question Hindi:
यदि एक कोण (\frac{31\pi}{3}) है, तो उसका मुख्य कोण क्या होगा?

Question English:
If an angle is (\frac{31\pi}{3}), what is its principal angle?

Options:
A. (\frac{\pi}{3})
B. (\frac{2\pi}{3})
C. (\frac{4\pi}{3})
D. (\frac{5\pi}{3})

Correct Answer:
A. (\frac{\pi}{3})

Explanation Hindi:
(\frac{31\pi}{3}) में से (\frac{30\pi}{3}=10\pi) हटाने पर (\frac{\pi}{3}) मिलता है। परीक्षा में (2\pi) के निकटतम गुणज हटाइए।

Explanation English:
Remove (\frac{30\pi}{3}=10\pi) from (\frac{31\pi}{3}) to get (\frac{\pi}{3}). In exams, remove the nearest multiple of (2\pi).

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
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Question 3/4 Hard Mathematics Trigonometric Functions Angles Class 11 Level 68

यदि \(\theta=\frac{13\pi}{4}\), तो \(\theta\) का मुख्य कोण क्या है?

If \(\theta=\frac{13\pi}{4}\), what is the principal angle of \(\theta\)?

Explanation opens after your attempt

Correct Answer

C. \(\frac{5\pi}{4}\)

Step 1

Concept

\(\frac{13\pi}{4}-2\pi=\frac{5\pi}{4}\). In exams, subtract multiples of \(2\pi\).

Step 2

Why this answer is correct

The correct answer is C. \(\frac{5\pi}{4}\). \(\frac{13\pi}{4}-2\pi=\frac{5\pi}{4}\). In exams, subtract multiples of \(2\pi\).

Step 3

Exam Tip

\(\frac{13\pi}{4}-2\pi=\frac{5\pi}{4}\)। परीक्षा में \(2\pi\) के गुणज घटाइए।

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MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Trigonometric Functions
Topic: Angles
Difficulty: Hard
Level: 68

Question Hindi:
यदि (\theta=\frac{13\pi}{4}), तो (\theta) का मुख्य कोण क्या है?

Question English:
If (\theta=\frac{13\pi}{4}), what is the principal angle of (\theta)?

Options:
A. (\frac{\pi}{4})
B. (\frac{3\pi}{4})
C. (\frac{5\pi}{4})
D. (\frac{7\pi}{4})

Correct Answer:
C. (\frac{5\pi}{4})

Explanation Hindi:
(\frac{13\pi}{4}-2\pi=\frac{5\pi}{4})। परीक्षा में (2\pi) के गुणज घटाइए।

Explanation English:
(\frac{13\pi}{4}-2\pi=\frac{5\pi}{4}). In exams, subtract multiples of (2\pi).

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.
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Question 4/4 Hard Mathematics Trigonometric Functions Angles Class 11 Level 68

कोण \(1180^\circ\) का \(0^\circ\) से \(360^\circ\) के बीच मुख्य कोण क्या होगा?

What is the principal angle between \(0^\circ\) and \(360^\circ\) for \(1180^\circ\)?

Explanation opens after your attempt

Correct Answer

B. \(100^\circ\)

Step 1

Concept

Subtract \(3\times360^\circ\) from \(1180^\circ\) to get \(100^\circ\). In exams, remove multiples of \(360^\circ\).

Step 2

Why this answer is correct

The correct answer is B. \(100^\circ\). Subtract \(3\times360^\circ\) from \(1180^\circ\) to get \(100^\circ\). In exams, remove multiples of \(360^\circ\).

Step 3

Exam Tip

\(1180^\circ\) में से \(3\times360^\circ\) घटाने पर \(100^\circ\) मिलता है। परीक्षा में \(360^\circ\) के गुणज हटाइए।

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MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Trigonometric Functions
Topic: Angles
Difficulty: Hard
Level: 68

Question Hindi:
कोण (1180^\circ) का (0^\circ) से (360^\circ) के बीच मुख्य कोण क्या होगा?

Question English:
What is the principal angle between (0^\circ) and (360^\circ) for (1180^\circ)?

Options:
A. (80^\circ)
B. (100^\circ)
C. (120^\circ)
D. (140^\circ)

Correct Answer:
B. (100^\circ)

Explanation Hindi:
(1180^\circ) में से (3\times360^\circ) घटाने पर (100^\circ) मिलता है। परीक्षा में (360^\circ) के गुणज हटाइए।

Explanation English:
Subtract (3\times360^\circ) from (1180^\circ) to get (100^\circ). In exams, remove multiples of (360^\circ).

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
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5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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trigonometry angles principal hard class11 MCQ Questions for Class 11

Practice Questions

यदि \(\theta\) का मुख्य कोण \(280^\circ\) है, तो \(-\theta\) का मुख्य कोण क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि एक कोण \(\frac{31\pi}{3}\) है, तो उसका मुख्य कोण क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि \(\theta=\frac{13\pi}{4}\), तो \(\theta\) का मुख्य कोण क्या है?

Concept

Why this answer is correct

Exam Tip

कोण \(1180^\circ\) का \(0^\circ\) से \(360^\circ\) के बीच मुख्य कोण क्या होगा?

Concept

Why this answer is correct

Exam Tip

trigonometry angles principal hard class11 Revision Links

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trigonometry angles principal hard class11 MCQ Questions for Class 11

Practice Questions

यदि \(\theta\) का मुख्य कोण \(280^\circ\) है, तो \(-\theta\) का मुख्य कोण क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि एक कोण \(\frac{31\pi}{3}\) है, तो उसका मुख्य कोण क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि \(\theta=\frac{13\pi}{4}\), तो \(\theta\) का मुख्य कोण क्या है?

Concept

Why this answer is correct

Exam Tip

कोण \(1180^\circ\) का \(0^\circ\) से \(360^\circ\) के बीच मुख्य कोण क्या होगा?

Concept

Why this answer is correct

Exam Tip

trigonometry angles principal hard class11 Revision Links

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