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Mathematics Algebra of real functions MCQ Questions for Class 11 General

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Question 31/600 Easy Mathematics Relations and Functions Algebra of real functions Class 11 Level 37

यदि (f(x)=x^-2) और (g(x)=2x+1), तो ((f+g)(3)) क्या है?

If (f(x)=x^-2) and (g(x)=2x+1), what is ((f+g)(3))?

Explanation opens after your attempt

Correct Answer

A. (16)

Explanation

Simple Explanation

((f+g)(3)=f(3)+g(3)=9+7=16)। मान रखते समय (2x+1) में (x=3) रखें। / ((f+g)(3)=f(3)+g(3)=9+7=16). Substitute (x=3) in (2x+1) carefully.

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Question 32/600 Easy Mathematics Relations and Functions Algebra of real functions Class 11 Level 37

यदि (f(x)=2x^-2) और (g(x)=x^-2+5), तो ((f-g)(x)) क्या होगा?

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

Explanation opens after your attempt

Correct Answer

A. \(x^2-5\)

Explanation

Simple Explanation

((f-g)(x)=2x^-2-\(x^2+5\)=x^-2-5)। कोष्ठक हटाते समय चिह्न बदलें। / ((f-g)(x)=2x^-2-\(x^2+5\)=x^-2-5). Change signs while removing the bracket.

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Question 33/600 Easy Mathematics Relations and Functions Algebra of real functions Class 11 Level 37

यदि (f(x)=x+3) और (g(x)=x), तो ((fg)(x)) क्या है?

If (f(x)=x+3) and (g(x)=x), what is ((fg)(x))?

Explanation opens after your attempt

Correct Answer

A. \(x^2+3x\)

Explanation

Simple Explanation

((fg)(x)=(x+3)x=x^-2+3x)। वितरक नियम से गुणा करें। / ((fg)(x)=(x+3)x=x^-2+3x). Use the distributive law for multiplication.

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Question 34/600 Easy Mathematics Relations and Functions Algebra of real functions Class 11 Level 37

यदि (f(x)=2x-3) और (g(x)=x+4), तो ((f+g)(x)) क्या होगा?

If (f(x)=2x-3) and (g(x)=x+4), what is ((f+g)(x))?

Explanation opens after your attempt

Correct Answer

A. (3x+1)

Explanation

Simple Explanation

((f+g)(x)=(2x-3)+(x+4)=3x+1)। समान पदों को अलग-अलग जोड़ें। / ((f+g)(x)=(2x-3)+(x+4)=3x+1). Add like terms separately.

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Question 35/600 Easy Mathematics Relations and Functions Algebra of real functions Class 11 Level 37

यदि (f(x)=5) और (g(x)=x^-2), तो ((f-g)(x)) क्या है?

If (f(x)=5) and (g(x)=x^-2), what is ((f-g)(x))?

Explanation opens after your attempt

Correct Answer

A. \(5-x^2\)

Explanation

Simple Explanation

((f-g)(x)=5-x^-2)। क्रम बदलने से उत्तर \(x^2-5\) हो जाएगा, इसलिए क्रम महत्वपूर्ण है। / ((f-g)(x)=5-x^-2). If the order changes, the answer becomes \(x^2-5\), so order is important.

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Question 36/600 Easy Mathematics Relations and Functions Algebra of real functions Class 11 Level 37

यदि (f(x)=x^-2-9) और (g(x)=x+3), तो (\left\(\frac{f}{g}\right\)(x)) का सरल रूप क्या है, जहाँ \(x\neq-3\)?

If (f(x)=x^-2-9) and (g(x)=x+3), what is the simplified form of (\left\(\frac{f}{g}\right\)(x)), where \(x\neq-3\)?

Explanation opens after your attempt

Correct Answer

A. (x-3)

Explanation

Simple Explanation

(\frac{x^-2-9}{x+3}=\frac{(x-3)(x+3)}{x+3}=x-3), जहाँ \(x\neq-3\)। काटने से पहले शर्त लिखें। / (\frac{x^-2-9}{x+3}=\frac{(x-3)(x+3)}{x+3}=x-3), where \(x\neq-3\). Write the condition before cancellation.

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Question 37/600 Easy Mathematics Relations and Functions Algebra of real functions Class 11 Level 37

यदि (f(x)=x^-2+2x+1) और (g(x)=x+1), तो (\left\(\frac{f}{g}\right\)(x)) क्या होगा, जहाँ \(x\neq-1\)?

If (f(x)=x^-2+2x+1) and (g(x)=x+1), what is (\left\(\frac{f}{g}\right\)(x)), where \(x\neq-1\)?

Explanation opens after your attempt

Correct Answer

A. (x+1)

Explanation

Simple Explanation

क्योंकि (x^-2+2x+1=(x+1)²), इसलिए भागफल (x+1) है। (x=-1) हटाना न भूलें। / Since (x^-2+2x+1=(x+1)²), the quotient is (x+1). Do not forget to exclude (x=-1).

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Question 38/600 Easy Mathematics Relations and Functions Algebra of real functions Class 11 Level 37

यदि (f(x)=x+2) और (g(x)=x-5), तो ((f+g)(5)) क्या होगा?

If (f(x)=x+2) and (g(x)=x-5), what is ((f+g)(5))?

Explanation opens after your attempt

Correct Answer

A. (7)

Explanation

Simple Explanation

((f+g)(5)=f(5)+g(5)=7+0=7)। किसी एक फलन का मान शून्य हो तो भी जोड़ सामान्य रहता है। / ((f+g)(5)=f(5)+g(5)=7+0=7). Even if one function value is zero, addition remains normal.

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Question 39/600 Easy Mathematics Relations and Functions Algebra of real functions Class 11 Level 37

यदि (f(x)=4x) और (g(x)=x+2), तो ((fg)(2)) का मान ज्ञात कीजिए।

If (f(x)=4x) and (g(x)=x+2), find the value of ((fg)(2)).

Explanation opens after your attempt

Correct Answer

A. (32)

Explanation

Simple Explanation

((fg)(2)=f(2)g(2)=8\cdot4=32)। गुणन में दोनों मानों को अलग-अलग निकालें। / ((fg)(2)=f(2)g(2)=8\cdot4=32). In product questions, find both values separately.

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Question 40/600 Easy Mathematics Relations and Functions Algebra of real functions Class 11 Level 37

यदि (f(x)=x^-2-1) और (g(x)=x^-2+1), तो ((f+g)(x)) क्या है?

If (f(x)=x^-2-1) and (g(x)=x^-2+1), what is ((f+g)(x))?

Explanation opens after your attempt

Correct Answer

A. \(2x^2\)

Explanation

Simple Explanation

((f+g)(x)=x^-2-1+x^-2+1=2x^-2)। स्थिर पद (-1) और (1) कट जाते हैं। / ((f+g)(x)=x^-2-1+x^-2+1=2x^-2). The constant terms (-1) and (1) cancel out.

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Mathematics Algebra of real functions MCQ Questions for Class 11 General

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Algebra of real functions Practice Questions

यदि (f(x)=x^-2) और (g(x)=2x+1), तो ((f+g)(3)) क्या है?

Simple Explanation

यदि (f(x)=2x^-2) और (g(x)=x^-2+5), तो ((f-g)(x)) क्या होगा?

Simple Explanation

यदि (f(x)=x+3) और (g(x)=x), तो ((fg)(x)) क्या है?

Simple Explanation

यदि (f(x)=2x-3) और (g(x)=x+4), तो ((f+g)(x)) क्या होगा?

Simple Explanation

यदि (f(x)=5) और (g(x)=x^-2), तो ((f-g)(x)) क्या है?

Simple Explanation

यदि (f(x)=x^-2-9) और (g(x)=x+3), तो (\left\(\frac{f}{g}\right\)(x)) का सरल रूप क्या है, जहाँ \(x\neq-3\)?

Simple Explanation

यदि (f(x)=x^-2+2x+1) और (g(x)=x+1), तो (\left\(\frac{f}{g}\right\)(x)) क्या होगा, जहाँ \(x\neq-1\)?

Simple Explanation

यदि (f(x)=x+2) और (g(x)=x-5), तो ((f+g)(5)) क्या होगा?

Simple Explanation

यदि (f(x)=4x) और (g(x)=x+2), तो ((fg)(2)) का मान ज्ञात कीजिए।

Simple Explanation

यदि (f(x)=x^-2-1) और (g(x)=x^-2+1), तो ((f+g)(x)) क्या है?

Simple Explanation

Algebra of real functions Learning Links

Relations and Functions Chapter

Easy Algebra of real functions Test

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Mathematics Algebra of real functions MCQ Questions for Class 11 General

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Continue Chapter Revision

Algebra of real functions Practice Questions

यदि (f(x)=x-2) और (g(x)=2x+1), तो ((f+g)(3)) क्या है?

Simple Explanation

यदि (f(x)=2x-2) और (g(x)=x-2+5), तो ((f-g)(x)) क्या होगा?

Simple Explanation

यदि (f(x)=x+3) और (g(x)=x), तो ((fg)(x)) क्या है?

Simple Explanation

यदि (f(x)=2x-3) और (g(x)=x+4), तो ((f+g)(x)) क्या होगा?

Simple Explanation

यदि (f(x)=5) और (g(x)=x-2), तो ((f-g)(x)) क्या है?

Simple Explanation

यदि (f(x)=x-2-9) और (g(x)=x+3), तो (\left\(\frac{f}{g}\right\)(x)) का सरल रूप क्या है, जहाँ \(x\neq-3\)?

Simple Explanation

यदि (f(x)=x-2+2x+1) और (g(x)=x+1), तो (\left\(\frac{f}{g}\right\)(x)) क्या होगा, जहाँ \(x\neq-1\)?

Simple Explanation

यदि (f(x)=x+2) और (g(x)=x-5), तो ((f+g)(5)) क्या होगा?

Simple Explanation

यदि (f(x)=4x) और (g(x)=x+2), तो ((fg)(2)) का मान ज्ञात कीजिए।

Simple Explanation

यदि (f(x)=x-2-1) और (g(x)=x-2+1), तो ((f+g)(x)) क्या है?

Simple Explanation

Algebra of real functions Learning Links

Relations and Functions Chapter

Easy Algebra of real functions Test

Mathematics Subject

Search Algebra of real functions

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यदि (f(x)=x^-2) और (g(x)=2x+1), तो ((f+g)(3)) क्या है?

यदि (f(x)=2x^-2) और (g(x)=x^-2+5), तो ((f-g)(x)) क्या होगा?

यदि (f(x)=5) और (g(x)=x^-2), तो ((f-g)(x)) क्या है?

यदि (f(x)=x^-2-9) और (g(x)=x+3), तो (\left\(\frac{f}{g}\right\)(x)) का सरल रूप क्या है, जहाँ \(x\neq-3\)?

यदि (f(x)=x^-2+2x+1) और (g(x)=x+1), तो (\left\(\frac{f}{g}\right\)(x)) क्या होगा, जहाँ \(x\neq-1\)?

यदि (f(x)=x^-2-1) और (g(x)=x^-2+1), तो ((f+g)(x)) क्या है?