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domain-check MCQ Questions for Class 12

domain-check se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

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4 questions tagged with domain-check.

Question 1/4 Medium Mathematics Inverse Trigonometric Functions Introduction to inverse trigonometric functions Class 12 Level 31

कौन सा व्यंजक वास्तविक संख्या के रूप में परिभाषित है?

Which expression is defined as a real number?

Explanation opens after your attempt
Correct Answer

C. \(\tan^{-1}5\)

Step 1

Concept

The function \(\tan^{-1}x\) is defined for every real (x). In the other options the domain condition fails.

Step 2

Why this answer is correct

The correct answer is C. \(\tan^{-1}5\). The function \(\tan^{-1}x\) is defined for every real (x). In the other options the domain condition fails.

Step 3

Exam Tip

\(\tan^{-1}x\) सभी वास्तविक (x) के लिए परिभाषित है। बाकी विकल्पों में प्रांत की शर्त टूटती है।

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Question 2/4 Easy Mathematics Inverse Trigonometric Functions Introduction to inverse trigonometric functions Class 12 Level 33

कौन सा व्यंजक वास्तविक संख्या नहीं देता?

Which expression does not give a real number?

Explanation opens after your attempt
Correct Answer

A. (\cos^{-1}\left\(\frac{7}{6}\right\))

Step 1

Concept

The expression \(\cos^{-1}x\) is real only for \(x\in[-1,1]\), and \(\frac{7}{6}>1\). Hence it will not give a real value.

Step 2

Why this answer is correct

The correct answer is A. (\cos^{-1}\left\(\frac{7}{6}\right\)). The expression \(\cos^{-1}x\) is real only for \(x\in[-1,1]\), and \(\frac{7}{6}>1\). Hence it will not give a real value.

Step 3

Exam Tip

\(\cos^{-1}x\) केवल \(x\in[-1,1]\) पर वास्तविक है और \(\frac{7}{6}>1\) है। इसलिए यह वास्तविक मान नहीं देगा।

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Question 3/4 Easy Mathematics Inverse Trigonometric Functions Introduction to inverse trigonometric functions Class 12 Level 33

कौन सा व्यंजक परिभाषित है?

Which expression is defined?

Explanation opens after your attempt
Correct Answer

A. (\cos^{-1}(-1))

Step 1

Concept

Since \(-1\in[-1,1]\), (\cos^{-1}(-1)) is defined. The other options are outside their domains.

Step 2

Why this answer is correct

The correct answer is A. (\cos^{-1}(-1)). Since \(-1\in[-1,1]\), (\cos^{-1}(-1)) is defined. The other options are outside their domains.

Step 3

Exam Tip

\(-1\in[-1,1]\) इसलिए (\cos^{-1}(-1)) परिभाषित है। अन्य विकल्प अपने डोमेन से बाहर हैं।

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Question 4/4 Easy Mathematics Inverse Trigonometric Functions Introduction to inverse trigonometric functions Class 12 Level 33

कौन सा व्यंजक परिभाषित नहीं है?

Which expression is not defined?

Explanation opens after your attempt
Correct Answer

A. \(\sin^{-1}2\)

Step 1

Concept

The expression \(\sin^{-1}x\) is defined only for \(x\in[-1,1]\), and \(2\notin[-1,1]\). In domain questions check each option quickly.

Step 2

Why this answer is correct

The correct answer is A. \(\sin^{-1}2\). The expression \(\sin^{-1}x\) is defined only for \(x\in[-1,1]\), and \(2\notin[-1,1]\). In domain questions check each option quickly.

Step 3

Exam Tip

\(\sin^{-1}x\) केवल \(x\in[-1,1]\) के लिए परिभाषित है और \(2\notin[-1,1]\)। डोमेन आधारित प्रश्नों में विकल्प तुरंत जांचें।

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