Update
Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है • Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है • Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है
Subjects
Topic Wise MCQ

Mathematics Trigonometric functions and their properties MCQ Questions for Class 11 General

Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.

Back to Chapter Subject Page
Share

Start Trigonometric functions and their properties Topic Quiz

Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.

Easy Test 146 Questions Medium Test 150 Questions Hard Test 50 Questions Expert Test 0 Questions
Topic Navigation

Continue Chapter Revision

Leaderboard

Trigonometric functions and their properties Practice Questions

Showing 231-240 of 346 questions.

Search
Question 231/346 Medium Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 71

यदि \(\sin x+\cos x=\sqrt{3}\), तो \(\tan x+\cot x\) का मान क्या है?

If \(\sin x+\cos x=\sqrt{3}\), what is the value of \(\tan x+\cot x\)?

Explanation opens after your attempt
Correct Answer

C. (4)

Explanation

Simple Explanation

वर्ग करने पर \(1+2\sin x\cos x=3\), इसलिए \(\sin x\cos x=1\) मिलता है। फिर \(\tan x+\cot x=\frac{1}{\sin x\cos x}\), इसलिए मान (1) नहीं बल्कि विकल्पों में कोई सही नहीं होता। / Squaring gives \(1+2\sin x\cos x=3\), so \(\sin x\cos x=1\). Then \(\tan x+\cot x=\frac{1}{\sin x\cos x}\), so the value is (1), but none of the options is correct.

Open Question Page
Ask Friends
Question 232/346 Medium Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 71

यदि \(\sin x+\cos x=\frac{7}{5}\), तो \(\tan x+\cot x\) का मान क्या है?

If \(\sin x+\cos x=\frac{7}{5}\), what is the value of \(\tan x+\cot x\)?

Explanation opens after your attempt
Correct Answer

B. \(\frac{25}{12}\)

Explanation

Simple Explanation

वर्ग करने पर \(1+2\sin x\cos x=\frac{49}{25}\), इसलिए \(\sin x\cos x=\frac{12}{25}\)। अब \(\tan x+\cot x=\frac{1}{\sin x\cos x}=\frac{25}{12}\)। / Squaring gives \(1+2\sin x\cos x=\frac{49}{25}\), so \(\sin x\cos x=\frac{12}{25}\). Now \(\tan x+\cot x=\frac{1}{\sin x\cos x}=\frac{25}{12}\).

Open Question Page
Ask Friends
Question 233/346 Medium Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 71

यदि \(\sin x-\cos x=\frac{1}{3}\), तो \(\tan x+\cot x\) का मान क्या है?

If \(\sin x-\cos x=\frac{1}{3}\), what is the value of \(\tan x+\cot x\)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{9}{4}\)

Explanation

Simple Explanation

वर्ग करने पर \(1-2\sin x\cos x=\frac{1}{9}\) मिलता है। इसलिए \(\sin x\cos x=\frac{4}{9}\) और \(\tan x+\cot x=\frac{9}{4}\)। / Squaring gives \(1-2\sin x\cos x=\frac{1}{9}\). Thus \(\sin x\cos x=\frac{4}{9}\) and \(\tan x+\cot x=\frac{9}{4}\).

Open Question Page
Ask Friends
Question 234/346 Medium Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 71

यदि \(\sec x+\tan x=3\), तो \(\sec x\) का मान क्या है?

If \(\sec x+\tan x=3\), what is the value of \(\sec x\)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{5}{3}\)

Explanation

Simple Explanation

क्योंकि \(\sec x-\tan x=\frac{1}{3}\) होगा। दोनों समीकरण जोड़ने पर \(2\sec x=3+\frac{1}{3}\), इसलिए \(\sec x=\frac{5}{3}\)। / Since \(\sec x-\tan x=\frac{1}{3}\). Adding both equations gives \(2\sec x=3+\frac{1}{3}\), so \(\sec x=\frac{5}{3}\).

Open Question Page
Ask Friends
Question 235/346 Medium Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 71

यदि \(\cosec x+\cot x=4\), तो \(\cot x\) का मान क्या है?

If \(\cosec x+\cot x=4\), what is the value of \(\cot x\)?

Explanation opens after your attempt
Correct Answer

B. \(\frac{15}{8}\)

Explanation

Simple Explanation

\(\cosec x-\cot x=\frac{1}{4}\) होगा। घटाने पर \(2\cot x=4-\frac{1}{4}\), इसलिए \(\cot x=\frac{15}{8}\)। / \(\cosec x-\cot x=\frac{1}{4}\). Subtracting gives \(2\cot x=4-\frac{1}{4}\), so \(\cot x=\frac{15}{8}\).

Open Question Page
Ask Friends
Question 236/346 Medium Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 71

\(\frac{1}{1+\sin x}+\frac{1}{1-\sin x}\) का सरल मान क्या है?

What is the simplified value of \(\frac{1}{1+\sin x}+\frac{1}{1-\sin x}\)?

Explanation opens after your attempt
Correct Answer

A. \(2\sec^2 x\)

Explanation

Simple Explanation

हरों को मिलाने पर \(\frac{2}{1-\sin^2 x}\) मिलेगा। यह \(\frac{2}{\cos^2 x}=2\sec^2 x\) है। / Combining denominators gives \(\frac{2}{1-\sin^2 x}\). This is \(\frac{2}{\cos^2 x}=2\sec^2 x\).

Open Question Page
Ask Friends
Question 237/346 Medium Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 71

\(\frac{1}{1+\cos x}+\frac{1}{1-\cos x}\) का सरल मान क्या है?

What is the simplified value of \(\frac{1}{1+\cos x}+\frac{1}{1-\cos x}\)?

Explanation opens after your attempt
Correct Answer

C. \(2\cosec^2 x\)

Explanation

Simple Explanation

हरों को मिलाने पर \(\frac{2}{1-\cos^2 x}\) मिलता है। यह \(\frac{2}{\sin^2 x}=2\cosec^2 x\) है। / Combining denominators gives \(\frac{2}{1-\cos^2 x}\). This is \(\frac{2}{\sin^2 x}=2\cosec^2 x\).

Open Question Page
Ask Friends
Question 238/346 Medium Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 71

\(\frac{1}{\sec x+\tan x}\) किसके बराबर है?

What is \(\frac{1}{\sec x+\tan x}\) equal to?

Explanation opens after your attempt
Correct Answer

B. \(\sec x-\tan x\)

Explanation

Simple Explanation

क्योंकि (\(\sec x+\tan x\)\(\sec x-\tan x\)=1)। इसलिए व्युत्क्रम \(\sec x-\tan x\) होगा। / Since (\(\sec x+\tan x\)\(\sec x-\tan x\)=1). Therefore, the reciprocal is \(\sec x-\tan x\).

Open Question Page
Ask Friends
Question 239/346 Medium Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 71

\(\frac{1}{\cosec x-\cot x}\) किसके बराबर है?

What is \(\frac{1}{\cosec x-\cot x}\) equal to?

Explanation opens after your attempt
Correct Answer

C. \(\cosec x+\cot x\)

Explanation

Simple Explanation

क्योंकि (\(\cosec x-\cot x\)\(\cosec x+\cot x\)=1)। इसलिए आवश्यक व्युत्क्रम \(\cosec x+\cot x\) है। / Since (\(\cosec x-\cot x\)\(\cosec x+\cot x\)=1). Hence the required reciprocal is \(\cosec x+\cot x\).

Open Question Page
Ask Friends
Question 240/346 Medium Mathematics Trigonometric Functions Trigonometric functions and their properties Class 11 Level 71

फलन \(6-2\sin 4x\) का आयाम क्या है?

What is the amplitude of the function \(6-2\sin 4x\)?

Explanation opens after your attempt
Correct Answer

C. (2)

Explanation

Simple Explanation

आयाम गुणांक के परिमाण के बराबर होता है। यहाँ \(\sin 4x\) का गुणांक (-2) है, इसलिए आयाम (2) है। / Amplitude equals the absolute value of the coefficient. Here the coefficient of \(\sin 4x\) is (-2), so the amplitude is (2).

Open Question Page
Ask Friends

Trigonometric functions and their properties Learning Links

Trigonometric Functions Chapter

All chapter topics and quizzes

Easy Trigonometric functions and their properties Test

Topic-wise timed quiz

Mathematics Subject

All chapters and levels

Search Trigonometric functions and their properties

Find related MCQs