Topic Wise MCQ

Mathematics Functions MCQ Questions for Class 12 General

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

Start Functions Topic Quiz

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

Easy Test 137 Questions Medium Test 137 Questions Hard Test 150 Questions Expert Test 150 Questions

Topic Navigation

Continue Chapter Revision

Previous Topic Next Topic Leaderboard

Functions Practice Questions

Showing 261-270 of 574 questions.

Question 261/574 Medium Mathematics Relations and Functions Functions Class 12 Level 21

यदि (f(x)=\frac{x-3}{x+1}), तो कौन-सा मान (f) के परास में नहीं आएगा?

If (f(x)=\frac{x-3}{x+1}), which value will not be in the range of (f)?

Explanation opens after your attempt

Correct Answer

A. (1)

Step 1

Concept

\(y=\frac{x-3}{x+1}\) लिखें। / Write \(y=\frac{x-3}{x+1}\).

Step 2

Why this answer is correct

(y(x+1)=x-3) से (x(y-1)=-3-y) मिलता है। / From (y(x+1)=x-3), we get (x(y-1)=-3-y).

Step 3

Exam Tip

(y=1) रखने पर असंभव स्थिति बनती है, इसलिए (1) परास में नहीं है। / Putting (y=1) gives an impossible statement, so (1) is not in the range.

Open Question Page

Question 262/574 Medium Mathematics Relations and Functions Functions Class 12 Level 21

यदि (f(x)=\frac{x-3}{x+1}), तो वास्तविक परास क्या होगा?

If (f(x)=\frac{x-3}{x+1}), what is the real range?

Explanation opens after your attempt

Correct Answer

A. (R-{1})

Step 1

Concept

\(y=\frac{x-3}{x+1}\) मानें। / Let \(y=\frac{x-3}{x+1}\).

Step 2

Why this answer is correct

हल करने पर \(x=\frac{-3-y}{y-1}\) मिलता है, यदि \(y\ne1\)। / Solving gives \(x=\frac{-3-y}{y-1}\), if \(y\ne1\).

Step 3

Exam Tip

इसलिए (1) को छोड़कर सभी वास्तविक मान परास में आते हैं। / Hence all real values except (1) are in the range.

Open Question Page

Question 263/574 Medium Mathematics Relations and Functions Functions Class 12 Level 21

यदि (f(x)=x^-2) और प्रान्त ({-4,-1,0,1,4}) है, तो परास में कितने अवयव होंगे?

If (f(x)=x^-2) and the domain is ({-4,-1,0,1,4}), how many elements are in the range?

Explanation opens after your attempt

Correct Answer

A. (3)

Step 1

Concept

दिए गए अवयवों के वर्ग (16,1,0,1,16) हैं। / The squares of the given elements are (16,1,0,1,16).

Step 2

Why this answer is correct

परास में दोहराए हुए मान एक बार लिखे जाते हैं। / Repeated values are written only once in the range.

Step 3

Exam Tip

परास ({0,1,16}) है, इसलिए (3) अवयव हैं। / The range is ({0,1,16}), so it has (3) elements.

Open Question Page

Question 264/574 Medium Mathematics Relations and Functions Functions Class 12 Level 21

यदि \(f:A\to B\), \(A=\{1,2,3,4\}\), \(B=\{a,b,c\}\), और \(f=\{(1,a),(2,b),(3,b),(4,c)\}\), तो (f) कैसा है?

If \(f:A\to B\), \(A=\{1,2,3,4\}\), \(B=\{a,b,c\}\), and \(f=\{(1,a),(2,b),(3,b),(4,c)\}\), what type of function is (f)?

Explanation opens after your attempt

Correct Answer

A. आच्छादक पर एक-एकी नहींOnto but not one-one

Step 1

Concept

(a,b,c) तीनों छवि के रूप में मिलते हैं, इसलिए फलन आच्छादक है। / All three elements (a,b,c) appear as images, so the function is onto.

Step 2

Why this answer is correct

(2) और (3) दोनों (b) पर जाते हैं, इसलिए एक-एकी नहीं है। / Both (2) and (3) map to (b), so it is not one-one.

Step 3

Exam Tip

फलन की प्रकृति तय करते समय परास और दोहराई हुई छवियाँ दोनों देखें। / While deciding the type, check both the range and repeated images.

Open Question Page

Question 265/574 Medium Mathematics Relations and Functions Functions Class 12 Level 21

यदि (f(x)=x^-2-9) और (g(x)=\sqrt{x+9}), तो (\(g\circ f\)(x)) क्या होगा?

If (f(x)=x^-2-9) and (g(x)=\sqrt{x+9}), what is (\(g\circ f\)(x))?

Explanation opens after your attempt

Correct Answer

A. \(\sqrt{x^2}\)

Step 1

Concept

(\(g\circ f\)(x)=g(f(x))) है। / (\(g\circ f\)(x)=g(f(x))).

Step 2

Why this answer is correct

(g) में (x) के स्थान पर \(x^2-9\) रखें। / Put \(x^2-9\) in place of (x) in (g).

Step 3

Exam Tip

(g(f(x))=\sqrt{\(x^2-9\)+9}=\sqrt{x^-2})। / (g(f(x))=\sqrt{\(x^2-9\)+9}=\sqrt{x^-2}).

Open Question Page

Question 266/574 Medium Mathematics Relations and Functions Functions Class 12 Level 21

यदि \(f:R\to R\), (f(x)=x^-3-7), तो (f^{-1}(x)) क्या होगा?

If \(f:R\to R\), (f(x)=x^-3-7), what is (f^{-1}(x))?

Explanation opens after your attempt

Correct Answer

A. \(\sqrt[3]{x+7}\)

Step 1

Concept

\(y=x^3-7\) लिखें। / Write \(y=x^3-7\).

Step 2

Why this answer is correct

\(x^3=y+7\), इसलिए \(x=\sqrt[3]{y+7}\)। / Then \(x^3=y+7\), so \(x=\sqrt[3]{y+7}\).

Step 3

Exam Tip

(y) को (x) से बदलने पर (f^{-1}(x)=\sqrt[3]{x+7})। / Replacing (y) by (x), (f^{-1}(x)=\sqrt[3]{x+7}).

Open Question Page

Question 267/574 Medium Mathematics Relations and Functions Functions Class 12 Level 21

यदि \(f:[0,\infty\)\to[5,\infty)), (f(x)=x^-2+5), तो (f^{-1}(14)) क्या होगा?

If \(f:[0,\infty\)\to[5,\infty)), (f(x)=x^-2+5), what is (f^{-1}(14))?

Explanation opens after your attempt

Correct Answer

A. (3)

Step 1

Concept

(f^{-1}(14)) के लिए \(x^2+5=14\) हल करें। / To find (f^{-1}(14)), solve \(x^2+5=14\).

Step 2

Why this answer is correct

\(x^2=9\), इसलिए (x=3) या (x=-3)। / \(x^2=9\), so (x=3) or (x=-3).

Step 3

Exam Tip

प्रान्त \([0,\infty\)) है, इसलिए केवल (3) मान्य है। / Since the domain is \([0,\infty\)), only (3) is valid.

Open Question Page

Question 268/574 Medium Mathematics Relations and Functions Functions Class 12 Level 21

यदि \(f:R\to R\), (f(x)=x^-2-4), तो (f^{-1}({12})) क्या होगा?

If \(f:R\to R\), (f(x)=x^-2-4), what is (f^{-1}({12}))?

Explanation opens after your attempt

Correct Answer

A. ({-4,4})

Step 1

Concept

पूर्वछवि के लिए \(x^2-4=12\) हल करें। / For the preimage, solve \(x^2-4=12\).

Step 2

Why this answer is correct

इससे \(x^2=16\) मिलता है। / This gives \(x^2=16\).

Step 3

Exam Tip

इसलिए (x=4) या (x=-4), अतः पूर्वछवि ({-4,4}) है। / Hence (x=4) or (x=-4), so the preimage is ({-4,4}).

Open Question Page

Question 269/574 Medium Mathematics Relations and Functions Functions Class 12 Level 21

यदि (f(x)=x^-2-7x+12), तो (f(3), f(4), f(5)) में से कौन-से मान शून्य हैं?

If (f(x)=x^-2-7x+12), which of (f(3), f(4), f(5)) are zero?

Explanation opens after your attempt

Correct Answer

A. (f(3)) और (f(4))(f(3)) and (f(4))

Step 1

Concept

(f(x)=x^-2-7x+12=(x-3)(x-4))। / (f(x)=x^-2-7x+12=(x-3)(x-4)).

Step 2

Why this answer is correct

(x=3) और (x=4) पर गुणनफल शून्य होगा। / At (x=3) and (x=4), the product becomes zero.

Step 3

Exam Tip

(x=5) पर (f(5)=2), इसलिए वह शून्य नहीं है। / At (x=5), (f(5)=2), so it is not zero.

Open Question Page

Question 270/574 Medium Mathematics Relations and Functions Functions Class 12 Level 21

यदि \(f:R\to R\), (f(x)=|x+3|+2), तो परास क्या होगा?

If \(f:R\to R\), (f(x)=|x+3|+2), what is the range?

Explanation opens after your attempt

Correct Answer

A. \([2,\infty\))

Step 1

Concept

\(|x+3|\ge0\) हर वास्तविक (x) के लिए। / \(|x+3|\ge0\) for every real (x).

Step 2

Why this answer is correct

इसलिए \(|x+3|+2\ge2\)। / Therefore \(|x+3|+2\ge2\).

Step 3

Exam Tip

(x=-3) पर न्यूनतम मान (2) मिलता है, अतः परास \([2,\infty\)) है। / At (x=-3), the minimum value (2) is obtained, so the range is \([2,\infty\)).

Open Question Page

Mathematics Functions MCQ Questions for Class 12 General

Start Functions Topic Quiz

Continue Chapter Revision

Related Topics

Functions Practice Questions

यदि (f(x)=\frac{x-3}{x+1}), तो कौन-सा मान (f) के परास में नहीं आएगा?

Concept

Why this answer is correct

Exam Tip

यदि (f(x)=\frac{x-3}{x+1}), तो वास्तविक परास क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि (f(x)=x-2) और प्रान्त ({-4,-1,0,1,4}) है, तो परास में कितने अवयव होंगे?

Concept

Why this answer is correct

Exam Tip

यदि \(f:A\to B\), \(A=\{1,2,3,4\}\), \(B=\{a,b,c\}\), और \(f=\{(1,a),(2,b),(3,b),(4,c)\}\), तो (f) कैसा है?

Concept

Why this answer is correct

Exam Tip

यदि (f(x)=x-2-9) और (g(x)=\sqrt{x+9}), तो (\(g\circ f\)(x)) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि \(f:R\to R\), (f(x)=x-3-7), तो (f^{-1}(x)) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि \(f:[0,\infty\)\to[5,\infty)), (f(x)=x-2+5), तो (f^{-1}(14)) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि \(f:R\to R\), (f(x)=x-2-4), तो (f^{-1}({12})) क्या होगा?

Concept

Why this answer is correct

Exam Tip

यदि (f(x)=x-2-7x+12), तो (f(3), f(4), f(5)) में से कौन-से मान शून्य हैं?

Concept

Why this answer is correct

Exam Tip

यदि \(f:R\to R\), (f(x)=|x+3|+2), तो परास क्या होगा?

Concept

Why this answer is correct

Exam Tip

Functions Learning Links

Relations and Functions Chapter

Easy Functions Test

Mathematics Subject

Search Functions

Login to view answers

यदि (f(x)=x^-2) और प्रान्त ({-4,-1,0,1,4}) है, तो परास में कितने अवयव होंगे?

यदि (f(x)=x^-2-9) और (g(x)=\sqrt{x+9}), तो (\(g\circ f\)(x)) क्या होगा?

यदि \(f:R\to R\), (f(x)=x^-3-7), तो (f^{-1}(x)) क्या होगा?

यदि \(f:[0,\infty\)\to[5,\infty)), (f(x)=x^-2+5), तो (f^{-1}(14)) क्या होगा?

यदि \(f:R\to R\), (f(x)=x^-2-4), तो (f^{-1}({12})) क्या होगा?

यदि (f(x)=x^-2-7x+12), तो (f(3), f(4), f(5)) में से कौन-से मान शून्य हैं?