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Mathematics Angles MCQ Questions for Class 11 General

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01 Practice Topic Trigonometric functions and their properties 350 MCQs

Angles Practice Questions

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Question 1/600 Easy Mathematics Trigonometric Functions Angles Class 11 Level 67

किसी कोण को सामान्य स्थिति में कब माना जाता है?

When is an angle said to be in standard position?

Explanation opens after your attempt
Correct Answer

A. प्रारंभिक भुजा (x)-अक्ष पर होInitial side lies on (x)-axis

Step 1

Concept

In standard position the initial side lies on the positive (x)-axis. In exams identify the initial and terminal sides separately.

Step 2

Why this answer is correct

The correct answer is A. प्रारंभिक भुजा (x)-अक्ष पर हो / Initial side lies on (x)-axis. In standard position the initial side lies on the positive (x)-axis. In exams identify the initial and terminal sides separately.

Step 3

Exam Tip

सामान्य स्थिति में प्रारंभिक भुजा धनात्मक (x)-अक्ष पर होती है। परीक्षा में प्रारंभिक और अंतिम भुजा अलग पहचानें।

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Question 2/600 Easy Mathematics Trigonometric Functions Angles Class 11 Level 67

यदि घूर्णन वामावर्त दिशा में हो तो कोण कैसा माना जाता है?

If rotation is anticlockwise then what type of angle is formed?

Explanation opens after your attempt
Correct Answer

C. धनात्मक कोणPositive angle

Step 1

Concept

Anticlockwise rotation gives a positive angle. Decide the sign by looking at the direction.

Step 2

Why this answer is correct

The correct answer is C. धनात्मक कोण / Positive angle. Anticlockwise rotation gives a positive angle. Decide the sign by looking at the direction.

Step 3

Exam Tip

वामावर्त घूर्णन धनात्मक कोण देता है। दिशा देखकर चिन्ह तुरंत तय करें।

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Question 3/600 Easy Mathematics Trigonometric Functions Angles Class 11 Level 67

यदि घूर्णन दक्षिणावर्त दिशा में हो तो कोण कैसा माना जाता है?

If rotation is clockwise then what type of angle is formed?

Explanation opens after your attempt
Correct Answer

B. ऋणात्मक कोणNegative angle

Step 1

Concept

Clockwise rotation gives a negative angle. In easy questions direction is the main clue.

Step 2

Why this answer is correct

The correct answer is B. ऋणात्मक कोण / Negative angle. Clockwise rotation gives a negative angle. In easy questions direction is the main clue.

Step 3

Exam Tip

दक्षिणावर्त घूर्णन ऋणात्मक कोण देता है। आसान प्रश्नों में दिशा सबसे महत्वपूर्ण संकेत होती है।

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Question 4/600 Easy Mathematics Trigonometric Functions Angles Class 11 Level 67

एक पूरा चक्कर कितने डिग्री के बराबर होता है?

One complete revolution is equal to how many degrees?

Explanation opens after your attempt
Correct Answer

D. \(360^\circ\)

Step 1

Concept

One complete revolution is \(360^\circ\). For revolution questions remember \(360^\circ\).

Step 2

Why this answer is correct

The correct answer is D. \(360^\circ\). One complete revolution is \(360^\circ\). For revolution questions remember \(360^\circ\).

Step 3

Exam Tip

एक पूरा चक्कर \(360^\circ\) का होता है। चक्कर वाले प्रश्नों में \(360^\circ\) याद रखें।

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Question 5/600 Easy Mathematics Trigonometric Functions Angles Class 11 Level 67

आधा चक्कर कितने डिग्री के बराबर होता है?

Half a revolution is equal to how many degrees?

Explanation opens after your attempt
Correct Answer

C. \(180^\circ\)

Step 1

Concept

Half a revolution is \(180^\circ\). Take half of a complete \(360^\circ\) revolution.

Step 2

Why this answer is correct

The correct answer is C. \(180^\circ\). Half a revolution is \(180^\circ\). Take half of a complete \(360^\circ\) revolution.

Step 3

Exam Tip

आधा चक्कर \(180^\circ\) होता है। पूरा चक्कर \(360^\circ\) का आधा लें।

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Question 6/600 Easy Mathematics Trigonometric Functions Angles Class 11 Level 67

एक चौथाई चक्कर कितने डिग्री के बराबर होता है?

A quarter revolution is equal to how many degrees?

Explanation opens after your attempt
Correct Answer

A. \(90^\circ\)

Step 1

Concept

A quarter revolution is \(360^\circ \div 4=90^\circ\). Use division to solve such questions quickly.

Step 2

Why this answer is correct

The correct answer is A. \(90^\circ\). A quarter revolution is \(360^\circ \div 4=90^\circ\). Use division to solve such questions quickly.

Step 3

Exam Tip

एक चौथाई चक्कर \(360^\circ \div 4=90^\circ\) होता है। भाग देकर ऐसे प्रश्न जल्दी हल करें।

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Question 7/600 Easy Mathematics Trigonometric Functions Angles Class 11 Level 67

\(180^\circ\) कितने रेडियन के बराबर होता है?

\(180^\circ\) is equal to how many radians?

Explanation opens after your attempt
Correct Answer

C. \(\pi\)

Step 1

Concept

The basic relation is \(180^\circ=\pi\) radians. Use it as the base for degree to radian conversion.

Step 2

Why this answer is correct

The correct answer is C. \(\pi\). The basic relation is \(180^\circ=\pi\) radians. Use it as the base for degree to radian conversion.

Step 3

Exam Tip

मूल संबंध \(180^\circ=\pi\) रेडियन है। डिग्री से रेडियन में बदलते समय इसी को आधार बनाएं।

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Question 8/600 Easy Mathematics Trigonometric Functions Angles Class 11 Level 67

\(360^\circ\) कितने रेडियन के बराबर होता है?

\(360^\circ\) is equal to how many radians?

Explanation opens after your attempt
Correct Answer

A. \(2\pi\)

Step 1

Concept

Since \(180^\circ=\pi\), \(360^\circ=2\pi\). When the angle doubles the radian measure also doubles.

Step 2

Why this answer is correct

The correct answer is A. \(2\pi\). Since \(180^\circ=\pi\), \(360^\circ=2\pi\). When the angle doubles the radian measure also doubles.

Step 3

Exam Tip

क्योंकि \(180^\circ=\pi\) है इसलिए \(360^\circ=2\pi\) होता है। दुगुने कोण में रेडियन भी दुगुना होता है।

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Question 9/600 Easy Mathematics Trigonometric Functions Angles Class 11 Level 67

\(90^\circ\) का रेडियन माप क्या है?

What is the radian measure of \(90^\circ\)?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

\(90^\circ\) is half of \(180^\circ\), so its radian measure is \(\frac{\pi}{2}\). Half the angle means half the radian measure.

Step 2

Why this answer is correct

The correct answer is B. \(\frac{\pi}{2}\). \(90^\circ\) is half of \(180^\circ\), so its radian measure is \(\frac{\pi}{2}\). Half the angle means half the radian measure.

Step 3

Exam Tip

\(90^\circ\), \(180^\circ\) का आधा है इसलिए रेडियन \(\frac{\pi}{2}\) होगा। आधे कोण में रेडियन भी आधा होता है।

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Question 10/600 Easy Mathematics Trigonometric Functions Angles Class 11 Level 67

\(45^\circ\) का रेडियन माप क्या है?

What is the radian measure of \(45^\circ\)?

Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

\(45^\circ\) is \(\frac{1}{4}\) of \(180^\circ\), so it is \(\frac{\pi}{4}\) radians. The ratio method is simple.

Step 2

Why this answer is correct

The correct answer is C. \(\frac{\pi}{4}\). \(45^\circ\) is \(\frac{1}{4}\) of \(180^\circ\), so it is \(\frac{\pi}{4}\) radians. The ratio method is simple.

Step 3

Exam Tip

\(45^\circ\), \(180^\circ\) का \(\frac{1}{4}\) भाग है इसलिए \(\frac{\pi}{4}\) रेडियन होगा। अनुपात विधि आसान रहती है।

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