Class 11 degree-measure MCQ Questions

Question 1/11 Expert Mathematics Trigonometric Functions Angles Class 11 Level 68

घड़ी में (11:54) पर घंटे और मिनट की सुइयों के बीच छोटा कोण क्या है?

What is the smaller angle between the hour and minute hands at (11:54)?

Explanation opens after your attempt

Correct Answer

C. \(33^\circ\)

Step 1

Concept

The minute hand is at \(324^\circ\) and the hour hand is at \(357^\circ\). The smaller difference is \(33^\circ\).

Step 2

Why this answer is correct

The correct answer is C. \(33^\circ\). The minute hand is at \(324^\circ\) and the hour hand is at \(357^\circ\). The smaller difference is \(33^\circ\).

Step 3

Exam Tip

मिनट सुई \(324^\circ\) पर और घंटे की सुई \(357^\circ\) पर होती है। छोटा अंतर \(33^\circ\) है।

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

Question Hindi:
घड़ी में (11:54) पर घंटे और मिनट की सुइयों के बीच छोटा कोण क्या है?

Question English:
What is the smaller angle between the hour and minute hands at (11:54)?

Options:
A. (27^\circ)
B. (30^\circ)
C. (33^\circ)
D. (36^\circ)

Correct Answer:
C. (33^\circ)

Explanation Hindi:
मिनट सुई (324^\circ) पर और घंटे की सुई (357^\circ) पर होती है। छोटा अंतर (33^\circ) है।

Explanation English:
The minute hand is at (324^\circ) and the hour hand is at (357^\circ). The smaller difference is (33^\circ).

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Question 2/11 Expert Mathematics Trigonometric Functions Angles Class 11 Level 68

एक पहिया (11) पूर्ण चक्कर और फिर \(\frac{2\pi}{3}\) रेडियन घूमता है। कुल कोण डिग्री में कितना है?

A wheel turns (11) complete revolutions and then \(\frac{2\pi}{3}\) radians. What is the total angle in degrees?

Explanation opens after your attempt

Correct Answer

C. \(4080^\circ\)

Step 1

Concept

(11) revolutions are \(3960^\circ\) and \(\frac{2\pi}{3}=120^\circ\). The total angle is \(4080^\circ\).

Step 2

Why this answer is correct

The correct answer is C. \(4080^\circ\). (11) revolutions are \(3960^\circ\) and \(\frac{2\pi}{3}=120^\circ\). The total angle is \(4080^\circ\).

Step 3

Exam Tip

(11) चक्कर \(3960^\circ\) और \(\frac{2\pi}{3}=120^\circ\) है। कुल कोण \(4080^\circ\) होगा।

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

Question Hindi:
एक पहिया (11) पूर्ण चक्कर और फिर (\frac{2\pi}{3}) रेडियन घूमता है। कुल कोण डिग्री में कितना है?

Question English:
A wheel turns (11) complete revolutions and then (\frac{2\pi}{3}) radians. What is the total angle in degrees?

Options:
A. (3960^\circ)
B. (4020^\circ)
C. (4080^\circ)
D. (4140^\circ)

Correct Answer:
C. (4080^\circ)

Explanation Hindi:
(11) चक्कर (3960^\circ) और (\frac{2\pi}{3}=120^\circ) है। कुल कोण (4080^\circ) होगा।

Explanation English:
(11) revolutions are (3960^\circ) and (\frac{2\pi}{3}=120^\circ). The total angle is (4080^\circ).

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Question 3/11 Expert Mathematics Trigonometric Functions Angles Class 11 Level 68

कोण \(-1025^\circ\) का सबसे छोटा धनात्मक सहप्रारंभी कोण क्या है?

What is the least positive coterminal angle of \(-1025^\circ\)?

Explanation opens after your attempt

Correct Answer

C. \(55^\circ\)

Step 1

Concept

\(-1025^\circ+1080^\circ=55^\circ\). Add multiples of \(360^\circ\) to a large negative angle.

Step 2

Why this answer is correct

The correct answer is C. \(55^\circ\). \(-1025^\circ+1080^\circ=55^\circ\). Add multiples of \(360^\circ\) to a large negative angle.

Step 3

Exam Tip

\(-1025^\circ+1080^\circ=55^\circ\) है। नकारात्मक बड़े कोण में \(360^\circ\) के गुणज जोड़ें।

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

Question Hindi:
कोण (-1025^\circ) का सबसे छोटा धनात्मक सहप्रारंभी कोण क्या है?

Question English:
What is the least positive coterminal angle of (-1025^\circ)?

Options:
A. (45^\circ)
B. (50^\circ)
C. (55^\circ)
D. (65^\circ)

Correct Answer:
C. (55^\circ)

Explanation Hindi:
(-1025^\circ+1080^\circ=55^\circ) है। नकारात्मक बड़े कोण में (360^\circ) के गुणज जोड़ें।

Explanation English:
(-1025^\circ+1080^\circ=55^\circ). Add multiples of (360^\circ) to a large negative angle.

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Question 4/11 Expert Mathematics Trigonometric Functions Angles Class 11 Level 68

घड़ी में (7:38) पर घंटे और मिनट की सुइयों के बीच छोटा कोण क्या है?

What is the smaller angle between the hour and minute hands at (7:38)?

Explanation opens after your attempt

Correct Answer

A. \(1^\circ\)

Step 1

Concept

The minute hand is at \(228^\circ\) and the hour hand is at \(229^\circ\). The smaller difference is \(1^\circ\).

Step 2

Why this answer is correct

The correct answer is A. \(1^\circ\). The minute hand is at \(228^\circ\) and the hour hand is at \(229^\circ\). The smaller difference is \(1^\circ\).

Step 3

Exam Tip

मिनट सुई \(228^\circ\) पर और घंटे की सुई \(229^\circ\) पर होती है। छोटा अंतर \(1^\circ\) है।

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

Question Hindi:
घड़ी में (7:38) पर घंटे और मिनट की सुइयों के बीच छोटा कोण क्या है?

Question English:
What is the smaller angle between the hour and minute hands at (7:38)?

Options:
A. (1^\circ)
B. (2^\circ)
C. (4^\circ)
D. (6^\circ)

Correct Answer:
A. (1^\circ)

Explanation Hindi:
मिनट सुई (228^\circ) पर और घंटे की सुई (229^\circ) पर होती है। छोटा अंतर (1^\circ) है।

Explanation English:
The minute hand is at (228^\circ) and the hour hand is at (229^\circ). The smaller difference is (1^\circ).

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
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Question 5/11 Hard Mathematics Trigonometric Functions Angles Class 11 Level 69

कोण \(1490^\circ\) का सबसे छोटा धनात्मक सहप्रारंभी कोण क्या है?

What is the least positive coterminal angle of \(1490^\circ\)?

Explanation opens after your attempt

Correct Answer

B. \(50^\circ\)

Step 1

Concept

\(1490^\circ-1440^\circ=50^\circ\). Subtract the largest possible multiple of \(360^\circ\).

Step 2

Why this answer is correct

The correct answer is B. \(50^\circ\). \(1490^\circ-1440^\circ=50^\circ\). Subtract the largest possible multiple of \(360^\circ\).

Step 3

Exam Tip

\(1490^\circ-1440^\circ=50^\circ\) है। \(360^\circ\) के अधिकतम संभव गुणज को घटाएं।

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MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Trigonometric Functions
Topic: Angles
Difficulty: Hard
Level: 69

Question Hindi:
कोण (1490^\circ) का सबसे छोटा धनात्मक सहप्रारंभी कोण क्या है?

Question English:
What is the least positive coterminal angle of (1490^\circ)?

Options:
A. (40^\circ)
B. (50^\circ)
C. (60^\circ)
D. (70^\circ)

Correct Answer:
B. (50^\circ)

Explanation Hindi:
(1490^\circ-1440^\circ=50^\circ) है। (360^\circ) के अधिकतम संभव गुणज को घटाएं।

Explanation English:
(1490^\circ-1440^\circ=50^\circ). Subtract the largest possible multiple of (360^\circ).

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Question 6/11 Hard Mathematics Trigonometric Functions Angles Class 11 Level 69

यदि \(\theta=110^\circ\) है तो \(\theta\) के सभी सहप्रारंभी कोणों का सामान्य रूप क्या है?

If \(\theta=110^\circ\) then what is the general form of all coterminal angles of \(\theta\)?

Explanation opens after your attempt

Correct Answer

B. \(110^\circ+360^\circ k\)

Step 1

Concept

In degrees coterminal angles are obtained by adding multiples of \(360^\circ\). So the form is \(110^\circ+360^\circ k\).

Step 2

Why this answer is correct

The correct answer is B. \(110^\circ+360^\circ k\). In degrees coterminal angles are obtained by adding multiples of \(360^\circ\). So the form is \(110^\circ+360^\circ k\).

Step 3

Exam Tip

डिग्री में सहप्रारंभी कोण \(360^\circ\) के गुणज जोड़कर मिलते हैं। इसलिए रूप \(110^\circ+360^\circ k\) है।

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MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Trigonometric Functions
Topic: Angles
Difficulty: Hard
Level: 69

Question Hindi:
यदि (\theta=110^\circ) है तो (\theta) के सभी सहप्रारंभी कोणों का सामान्य रूप क्या है?

Question English:
If (\theta=110^\circ) then what is the general form of all coterminal angles of (\theta)?

Options:
A. (110^\circ+180^\circ k)
B. (110^\circ+360^\circ k)
C. (110^\circ-90^\circ k)
D. (110^\circ+90^\circ k)

Correct Answer:
B. (110^\circ+360^\circ k)

Explanation Hindi:
डिग्री में सहप्रारंभी कोण (360^\circ) के गुणज जोड़कर मिलते हैं। इसलिए रूप (110^\circ+360^\circ k) है।

Explanation English:
In degrees coterminal angles are obtained by adding multiples of (360^\circ). So the form is (110^\circ+360^\circ k).

Video Structure:
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Question 7/11 Hard Mathematics Trigonometric Functions Angles Class 11 Level 69

लगभग (1) रेडियन कितने डिग्री के बराबर होता है?

Approximately (1) radian is equal to how many degrees?

Explanation opens after your attempt

Correct Answer

C. \(57.3^\circ\)

Step 1

Concept

(1) radian \(=\frac{180^\circ}{\pi}\approx57.3^\circ\). In approximation questions use \(\pi\approx3.14\).

Step 2

Why this answer is correct

The correct answer is C. \(57.3^\circ\). (1) radian \(=\frac{180^\circ}{\pi}\approx57.3^\circ\). In approximation questions use \(\pi\approx3.14\).

Step 3

Exam Tip

(1) रेडियन \(=\frac{180^\circ}{\pi}\approx57.3^\circ\) होता है। अनुमान वाले प्रश्नों में \(\pi\approx3.14\) लें।

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MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Trigonometric Functions
Topic: Angles
Difficulty: Hard
Level: 69

Question Hindi:
लगभग (1) रेडियन कितने डिग्री के बराबर होता है?

Question English:
Approximately (1) radian is equal to how many degrees?

Options:
A. (45.0^\circ)
B. (52.5^\circ)
C. (57.3^\circ)
D. (60.0^\circ)

Correct Answer:
C. (57.3^\circ)

Explanation Hindi:
(1) रेडियन (=\frac{180^\circ}{\pi}\approx57.3^\circ) होता है। अनुमान वाले प्रश्नों में (\pi\approx3.14) लें।

Explanation English:
(1) radian (=\frac{180^\circ}{\pi}\approx57.3^\circ). In approximation questions use (\pi\approx3.14).

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Question 8/11 Hard Mathematics Trigonometric Functions Angles Class 11 Level 69

कोण \(1280^\circ\) का संदर्भ कोण क्या है?

What is the reference angle of \(1280^\circ\)?

Explanation opens after your attempt

Correct Answer

A. \(20^\circ\)

Step 1

Concept

\(1280^\circ-1080^\circ=200^\circ\). In the third quadrant the reference angle is \(200^\circ-180^\circ=20^\circ\).

Step 2

Why this answer is correct

The correct answer is A. \(20^\circ\). \(1280^\circ-1080^\circ=200^\circ\). In the third quadrant the reference angle is \(200^\circ-180^\circ=20^\circ\).

Step 3

Exam Tip

\(1280^\circ-1080^\circ=200^\circ\) है। तृतीय चतुर्थांश में संदर्भ कोण \(200^\circ-180^\circ=20^\circ\) होता है।

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MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Trigonometric Functions
Topic: Angles
Difficulty: Hard
Level: 69

Question Hindi:
कोण (1280^\circ) का संदर्भ कोण क्या है?

Question English:
What is the reference angle of (1280^\circ)?

Options:
A. (20^\circ)
B. (40^\circ)
C. (60^\circ)
D. (80^\circ)

Correct Answer:
A. (20^\circ)

Explanation Hindi:
(1280^\circ-1080^\circ=200^\circ) है। तृतीय चतुर्थांश में संदर्भ कोण (200^\circ-180^\circ=20^\circ) होता है।

Explanation English:
(1280^\circ-1080^\circ=200^\circ). In the third quadrant the reference angle is (200^\circ-180^\circ=20^\circ).

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Question 9/11 Hard Mathematics Trigonometric Functions Angles Class 11 Level 69

घड़ी में (2:40) पर घंटे और मिनट की सुइयों के बीच छोटा कोण क्या है?

What is the smaller angle between the hour and minute hands at (2:40)?

Explanation opens after your attempt

Correct Answer

C. \(160^\circ\)

Step 1

Concept

The minute hand is at \(240^\circ\) and the hour hand is at \(80^\circ\). The difference is \(160^\circ\).

Step 2

Why this answer is correct

The correct answer is C. \(160^\circ\). The minute hand is at \(240^\circ\) and the hour hand is at \(80^\circ\). The difference is \(160^\circ\).

Step 3

Exam Tip

मिनट सुई \(240^\circ\) पर और घंटे की सुई \(80^\circ\) पर होती है। अंतर \(160^\circ\) है।

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MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Trigonometric Functions
Topic: Angles
Difficulty: Hard
Level: 69

Question Hindi:
घड़ी में (2:40) पर घंटे और मिनट की सुइयों के बीच छोटा कोण क्या है?

Question English:
What is the smaller angle between the hour and minute hands at (2:40)?

Options:
A. (140^\circ)
B. (150^\circ)
C. (160^\circ)
D. (170^\circ)

Correct Answer:
C. (160^\circ)

Explanation Hindi:
मिनट सुई (240^\circ) पर और घंटे की सुई (80^\circ) पर होती है। अंतर (160^\circ) है।

Explanation English:
The minute hand is at (240^\circ) and the hour hand is at (80^\circ). The difference is (160^\circ).

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Question 10/11 Hard Mathematics Trigonometric Functions Angles Class 11 Level 69

कोण \(920^\circ\) का सबसे छोटा धनात्मक सहप्रारंभी कोण क्या है?

What is the least positive coterminal angle of \(920^\circ\)?

Explanation opens after your attempt

Correct Answer

C. \(200^\circ\)

Step 1

Concept

Since \(920^\circ-720^\circ=200^\circ\). Subtract multiples of \(360^\circ\) from large angles.

Step 2

Why this answer is correct

The correct answer is C. \(200^\circ\). Since \(920^\circ-720^\circ=200^\circ\). Subtract multiples of \(360^\circ\) from large angles.

Step 3

Exam Tip

\(920^\circ-720^\circ=200^\circ\) होता है। बड़े कोण में \(360^\circ\) के गुणज घटाएं।

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MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Trigonometric Functions
Topic: Angles
Difficulty: Hard
Level: 69

Question Hindi:
कोण (920^\circ) का सबसे छोटा धनात्मक सहप्रारंभी कोण क्या है?

Question English:
What is the least positive coterminal angle of (920^\circ)?

Options:
A. (160^\circ)
B. (180^\circ)
C. (200^\circ)
D. (220^\circ)

Correct Answer:
C. (200^\circ)

Explanation Hindi:
(920^\circ-720^\circ=200^\circ) होता है। बड़े कोण में (360^\circ) के गुणज घटाएं।

Explanation English:
Since (920^\circ-720^\circ=200^\circ). Subtract multiples of (360^\circ) from large angles.

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Question 11/11 Easy Mathematics Trigonometric Functions Angles Class 11 Level 67

\(\frac{3\pi}{2}\) रेडियन कितने डिग्री के बराबर है?

\(\frac{3\pi}{2}\) radians is equal to how many degrees?

Explanation opens after your attempt

Correct Answer

B. \(270^\circ\)

Step 1

Concept

\(\frac{3\pi}{2}\times\frac{180^\circ}{\pi}=270^\circ\). The numerator (3) makes the final value three times \(90^\circ\).

Step 2

Why this answer is correct

The correct answer is B. \(270^\circ\). \(\frac{3\pi}{2}\times\frac{180^\circ}{\pi}=270^\circ\). The numerator (3) makes the final value three times \(90^\circ\).

Step 3

Exam Tip

\(\frac{3\pi}{2}\times\frac{180^\circ}{\pi}=270^\circ\) होता है। ऊपर का (3) अंतिम मान को तीन गुना करता है।

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MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Trigonometric Functions
Topic: Angles
Difficulty: Easy
Level: 67

Question Hindi:
(\frac{3\pi}{2}) रेडियन कितने डिग्री के बराबर है?

Question English:
(\frac{3\pi}{2}) radians is equal to how many degrees?

Options:
A. (180^\circ)
B. (270^\circ)
C. (300^\circ)
D. (360^\circ)

Correct Answer:
B. (270^\circ)

Explanation Hindi:
(\frac{3\pi}{2}\times\frac{180^\circ}{\pi}=270^\circ) होता है। ऊपर का (3) अंतिम मान को तीन गुना करता है।

Explanation English:
(\frac{3\pi}{2}\times\frac{180^\circ}{\pi}=270^\circ). The numerator (3) makes the final value three times (90^\circ).

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degree-measure MCQ Questions for Class 11

Practice Questions

घड़ी में (11:54) पर घंटे और मिनट की सुइयों के बीच छोटा कोण क्या है?

Concept

Why this answer is correct

Exam Tip

एक पहिया (11) पूर्ण चक्कर और फिर \(\frac{2\pi}{3}\) रेडियन घूमता है। कुल कोण डिग्री में कितना है?

Concept

Why this answer is correct

Exam Tip

कोण \(-1025^\circ\) का सबसे छोटा धनात्मक सहप्रारंभी कोण क्या है?

Concept

Why this answer is correct

Exam Tip

घड़ी में (7:38) पर घंटे और मिनट की सुइयों के बीच छोटा कोण क्या है?

Concept

Why this answer is correct

Exam Tip

कोण \(1490^\circ\) का सबसे छोटा धनात्मक सहप्रारंभी कोण क्या है?

Concept

Why this answer is correct

Exam Tip

यदि \(\theta=110^\circ\) है तो \(\theta\) के सभी सहप्रारंभी कोणों का सामान्य रूप क्या है?

Concept

Why this answer is correct

Exam Tip

लगभग (1) रेडियन कितने डिग्री के बराबर होता है?

Concept

Why this answer is correct

Exam Tip

कोण \(1280^\circ\) का संदर्भ कोण क्या है?

Concept

Why this answer is correct

Exam Tip

घड़ी में (2:40) पर घंटे और मिनट की सुइयों के बीच छोटा कोण क्या है?

Concept

Why this answer is correct

Exam Tip

कोण \(920^\circ\) का सबसे छोटा धनात्मक सहप्रारंभी कोण क्या है?

Concept

Why this answer is correct

Exam Tip

\(\frac{3\pi}{2}\) रेडियन कितने डिग्री के बराबर है?

Concept

Why this answer is correct

Exam Tip

degree-measure Revision Links

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