\(\tan^{-1}x\) की सीमा से कौन सा मान संभव नहीं है?

Which value is not possible from the range of \(\tan^{-1}x\)?

Author: Muft Shiksha Editorial Team Published:
Explanation opens after your attempt
Correct Answer

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

Step 1

Concept

The range of \(\tan^{-1}x\) is (\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\)), which does not include \(\frac{\pi}{2}\). Pay attention to open intervals.

Step 2

Why this answer is correct

The correct answer is A. \(\frac{\pi}{2}\). The range of \(\tan^{-1}x\) is (\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\)), which does not include \(\frac{\pi}{2}\). Pay attention to open intervals.

Step 3

Exam Tip

\(\tan^{-1}x\) की सीमा (\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\)) है जिसमें \(\frac{\pi}{2}\) शामिल नहीं है। खुले अंतराल पर ध्यान दें।

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FAQs

Mathematics Answer, Explanation and Revision Hints

\(\tan^{-1}x\) की सीमा से कौन सा मान संभव नहीं है? / Which value is not possible from the range of \(\tan^{-1}x\)?

Correct Answer: A. \(\frac{\pi}{2}\). Explanation: \(\tan^{-1}x\) की सीमा (\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\)) है जिसमें \(\frac{\pi}{2}\) शामिल नहीं है। खुले अंतराल पर ध्यान दें। / The range of \(\tan^{-1}x\) is (\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\)), which does not include \(\frac{\pi}{2}\). Pay attention to open intervals.

Which concept should I revise for this Mathematics MCQ?

The range of \(\tan^{-1}x\) is (\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\)), which does not include \(\frac{\pi}{2}\). Pay attention to open intervals.

What exam hint can help solve this Mathematics question?

\(\tan^{-1}x\) की सीमा (\left\(-\frac{\pi}{2},\frac{\pi}{2}\right\)) है जिसमें \(\frac{\pi}{2}\) शामिल नहीं है। खुले अंतराल पर ध्यान दें।