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Mathematics Real valued functions, domain and range of these functions MCQ Questions for Class 11 General

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Real valued functions, domain and range of these functions Practice Questions

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Question 191/600 Medium Mathematics Relations and Functions Real valued functions, domain and range of these functions Class 11 Level 31

यदि (f(x)=\sqrt{x+2}) है, तो (f(x)=3) के लिए (x) क्या होगा?

If (f(x)=\sqrt{x+2}), what is (x) when (f(x)=3)?

Explanation opens after your attempt

Correct Answer

A. (7)

Explanation

Simple Explanation

\(\sqrt{x+2}=3\) से (x+2=9) और (x=7) मिलता है। परीक्षा में वर्ग करने के बाद domain condition भी सही रखें। / \(\sqrt{x+2}=3\) gives (x+2=9) and (x=7). In exams keep the domain condition valid after squaring.

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Question 192/600 Medium Mathematics Relations and Functions Real valued functions, domain and range of these functions Class 11 Level 31

यदि (f(x)=|x-4|) है, तो (f(x)=6) के लिए (x) की वैल्यू क्या हो सकती है?

If (f(x)=|x-4|), what values can (x) have when (f(x)=6)?

Explanation opens after your attempt

Correct Answer

A. (x=-2) या (x=10)(x=-2) or (x=10)

Explanation

Simple Explanation

(|x-4|=6) से (x-4=6) या (x-4=-6) मिलता है। परीक्षा में मापांक समीकरण की दोनों शाखाएं लिखें। / (|x-4|=6) gives (x-4=6) or (x-4=-6). In exams write both branches of a modulus equation.

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Question 193/600 Medium Mathematics Relations and Functions Real valued functions, domain and range of these functions Class 11 Level 31

यदि (f(x)=x^-2-2x+5) है, तो (f(3)) क्या है?

If (f(x)=x^-2-2x+5), what is (f(3))?

Explanation opens after your attempt

Correct Answer

A. (8)

Explanation

Simple Explanation

(f(3)=3²-2(3)+5=8) है। परीक्षा में substitution करते समय चिन्हों का ध्यान रखें। / (f(3)=3²-2(3)+5=8). In exams be careful with signs while substituting.

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Question 194/600 Medium Mathematics Relations and Functions Real valued functions, domain and range of these functions Class 11 Level 31

यदि (f(x)=\frac{x+2}{x-1}) है, तो (f(4)) क्या है?

If (f(x)=\frac{x+2}{x-1}), what is (f(4))?

Explanation opens after your attempt

Correct Answer

A. (2)

Explanation

Simple Explanation

(f(4)=\frac{4+2}{4-1}=\frac{6}{3}=2) है। परीक्षा में denominator zero न हो यह भी जांचें। / (f(4)=\frac{4+2}{4-1}=\frac{6}{3}=2). In exams also check that the denominator is not zero.

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Question 195/600 Medium Mathematics Relations and Functions Real valued functions, domain and range of these functions Class 11 Level 31

यदि (f(x)=\sqrt{x^-2-9}) है, तो (f(5)) क्या है?

If (f(x)=\sqrt{x^-2-9}), what is (f(5))?

Explanation opens after your attempt

Correct Answer

A. (4)

Explanation

Simple Explanation

(f(5)=\sqrt{25-9}=\sqrt{16}=4) है। परीक्षा में वर्गमूल की मुख्य धनात्मक वैल्यू लें। / (f(5)=\sqrt{25-9}=\sqrt{16}=4). In exams take the principal positive square root.

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Question 196/600 Medium Mathematics Relations and Functions Real valued functions, domain and range of these functions Class 11 Level 31

यदि (f(x)=x^-2-9) और codomain \(\mathbb{R}\) है, तो वास्तविक डोमेन \(\mathbb{R}\) पर रेंज क्या है?

If (f(x)=x^-2-9) and the codomain is \(\mathbb{R}\), what is the range on real domain \(\mathbb{R}\)?

Explanation opens after your attempt

Correct Answer

A. \([-9,\infty\))

Explanation

Simple Explanation

क्योंकि \(x^2\ge 0\), इसलिए \(x^2-9\ge -9\)। परीक्षा में codomain और actual range में फर्क रखें। / Since \(x^2\ge 0\), \(x^2-9\ge -9\). In exams keep the difference between codomain and actual range clear.

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Question 197/600 Medium Mathematics Relations and Functions Real valued functions, domain and range of these functions Class 11 Level 31

यदि \(f:\mathbb{R}\to\mathbb{R}\) और (f(x)=x^-2+4) है, तो कौन सा कथन सही है?

If \(f:\mathbb{R}\to\mathbb{R}\) and (f(x)=x^-2+4), which statement is correct?

Explanation opens after your attempt

Correct Answer

A. रेंज \([4,\infty\)) है और codomain \(\mathbb{R}\) हैRange is \([4,\infty\)) and codomain is \(\mathbb{R}\)

Explanation

Simple Explanation

फलन में दिया गया दूसरा समुच्चय codomain है, जबकि वास्तविक आउटपुट \([4,\infty\)) हैं। परीक्षा में arrow notation से codomain पहचानें। / The second set in the function notation is the codomain, while actual outputs are \([4,\infty\)). In exams identify codomain from arrow notation.

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Question 198/600 Medium Mathematics Relations and Functions Real valued functions, domain and range of these functions Class 11 Level 31

यदि \(f:A\to\mathbb{R}\), \(A=\{-2,0,3\}\), और (f(x)=x^-2+x) है, तो रेंज क्या है?

If \(f:A\to\mathbb{R}\), \(A=\{-2,0,3\}\), and (f(x)=x^-2+x), what is the range?

Explanation opens after your attempt

Correct Answer

A. ({0,2,12})

Explanation

Simple Explanation

इनपुट पर वैल्यू (f(-2)=2), (f(0)=0), (f(3)=12) हैं। परीक्षा में finite domain में हर input की image निकालें। / The values are (f(-2)=2), (f(0)=0), and (f(3)=12). In exams find the image of every input in a finite domain.

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Question 199/600 Medium Mathematics Relations and Functions Real valued functions, domain and range of these functions Class 11 Level 31

यदि \(A=\{1,2,4,5\}\) और \(f:A\to\mathbb{R}\), (f(x)=\sqrt{x-1}) है, तो रेंज क्या है?

If \(A=\{1,2,4,5\}\) and \(f:A\to\mathbb{R}\), (f(x)=\sqrt{x-1}), what is the range?

Explanation opens after your attempt

Correct Answer

A. \({0,1,\sqrt{3},2}\)

Explanation

Simple Explanation

(x=1,2,4,5) पर outputs \(0,1,\sqrt{3},2\) मिलते हैं। परीक्षा में set domain में केवल दिए गए inputs लें। / For (x=1,2,4,5), the outputs are \(0,1,\sqrt{3},2\). In exams use only the given inputs in a set domain.

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Question 200/600 Medium Mathematics Relations and Functions Real valued functions, domain and range of these functions Class 11 Level 31

फलन (f(x)=\sqrt{\frac{x-2}{x+1}}) का डोमेन क्या है?

What is the domain of (f(x)=\sqrt{\frac{x-2}{x+1}})?

Explanation opens after your attempt

Correct Answer

A. (\(-\infty,-1\)\cup[2,\infty))

Explanation

Simple Explanation

वर्गमूल के अंदर \(\frac{x-2}{x+1}\ge 0\) और \(x\ne -1\) चाहिए। संकेत तालिका से (\(-\infty,-1\)\cup[2,\infty)) मिलता है। / The expression inside the square root must satisfy \(\frac{x-2}{x+1}\ge 0\) and \(x\ne -1\). A sign table gives (\(-\infty,-1\)\cup[2,\infty)).

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Mathematics Real valued functions, domain and range of these functions MCQ Questions for Class 11 General

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Real valued functions, domain and range of these functions Practice Questions

यदि (f(x)=\sqrt{x+2}) है, तो (f(x)=3) के लिए (x) क्या होगा?

Simple Explanation

यदि (f(x)=|x-4|) है, तो (f(x)=6) के लिए (x) की वैल्यू क्या हो सकती है?

Simple Explanation

यदि (f(x)=x^-2-2x+5) है, तो (f(3)) क्या है?

Simple Explanation

यदि (f(x)=\frac{x+2}{x-1}) है, तो (f(4)) क्या है?

Simple Explanation

यदि (f(x)=\sqrt{x^-2-9}) है, तो (f(5)) क्या है?

Simple Explanation

यदि (f(x)=x^-2-9) और codomain \(\mathbb{R}\) है, तो वास्तविक डोमेन \(\mathbb{R}\) पर रेंज क्या है?

Simple Explanation

यदि \(f:\mathbb{R}\to\mathbb{R}\) और (f(x)=x^-2+4) है, तो कौन सा कथन सही है?

Simple Explanation

यदि \(f:A\to\mathbb{R}\), \(A=\{-2,0,3\}\), और (f(x)=x^-2+x) है, तो रेंज क्या है?

Simple Explanation

यदि \(A=\{1,2,4,5\}\) और \(f:A\to\mathbb{R}\), (f(x)=\sqrt{x-1}) है, तो रेंज क्या है?

Simple Explanation

फलन (f(x)=\sqrt{\frac{x-2}{x+1}}) का डोमेन क्या है?

Simple Explanation

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Mathematics Real valued functions, domain and range of these functions MCQ Questions for Class 11 General

Start Real valued functions, domain and range of these functions Topic Quiz

Continue Chapter Revision

Real valued functions, domain and range of these functions Practice Questions

यदि (f(x)=\sqrt{x+2}) है, तो (f(x)=3) के लिए (x) क्या होगा?

Simple Explanation

यदि (f(x)=|x-4|) है, तो (f(x)=6) के लिए (x) की वैल्यू क्या हो सकती है?

Simple Explanation

यदि (f(x)=x-2-2x+5) है, तो (f(3)) क्या है?

Simple Explanation

यदि (f(x)=\frac{x+2}{x-1}) है, तो (f(4)) क्या है?

Simple Explanation

यदि (f(x)=\sqrt{x-2-9}) है, तो (f(5)) क्या है?

Simple Explanation

यदि (f(x)=x-2-9) और codomain \(\mathbb{R}\) है, तो वास्तविक डोमेन \(\mathbb{R}\) पर रेंज क्या है?

Simple Explanation

यदि \(f:\mathbb{R}\to\mathbb{R}\) और (f(x)=x-2+4) है, तो कौन सा कथन सही है?

Simple Explanation

यदि \(f:A\to\mathbb{R}\), \(A=\{-2,0,3\}\), और (f(x)=x-2+x) है, तो रेंज क्या है?

Simple Explanation

यदि \(A=\{1,2,4,5\}\) और \(f:A\to\mathbb{R}\), (f(x)=\sqrt{x-1}) है, तो रेंज क्या है?

Simple Explanation

फलन (f(x)=\sqrt{\frac{x-2}{x+1}}) का डोमेन क्या है?

Simple Explanation

Real valued functions, domain and range of these functions Learning Links

Relations and Functions Chapter

Easy Real valued functions, domain and range of these functions Test

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यदि (f(x)=x^-2-2x+5) है, तो (f(3)) क्या है?

यदि (f(x)=\sqrt{x^-2-9}) है, तो (f(5)) क्या है?

यदि (f(x)=x^-2-9) और codomain \(\mathbb{R}\) है, तो वास्तविक डोमेन \(\mathbb{R}\) पर रेंज क्या है?

यदि \(f:\mathbb{R}\to\mathbb{R}\) और (f(x)=x^-2+4) है, तो कौन सा कथन सही है?

यदि \(f:A\to\mathbb{R}\), \(A=\{-2,0,3\}\), और (f(x)=x^-2+x) है, तो रेंज क्या है?