Class 11 Mathematics - Relations and Functions - Algebra of real functions Easy Quiz

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

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Question 1/13 Easy Mathematics Relations and Functions Algebra of real functions Class 11 Level 37

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

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

Explanation opens after your attempt

Correct Answer

A. (4x+2)

Explanation

Simple Explanation

योग में समान (x) पद जोड़े जाते हैं, इसलिए ((f+g)(x)=x+2+3x=4x+2)। परीक्षा में पहले कोष्ठक खोलें। / In addition, like (x) terms are added, so ((f+g)(x)=x+2+3x=4x+2). In exams, open brackets first.

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Question 2/13 Easy Mathematics Relations and Functions Algebra of real functions Class 11 Level 37

यदि (f(x)=x^-2-4) और (g(x)=x-2), तो (\left\(\frac{f}{g}\right\)(3)) का मान क्या है?

If (f(x)=x^-2-4) and (g(x)=x-2), what is the value of (\left\(\frac{f}{g}\right\)(3))?

Explanation opens after your attempt

Correct Answer

A. (5)

Explanation

Simple Explanation

(\left\(\frac{f}{g}\right\)(3)=\frac{9-4}{3-2}=5)। भाग में हर का मान शून्य नहीं होना चाहिए। / (\left\(\frac{f}{g}\right\)(3)=\frac{9-4}{3-2}=5). In division, the denominator value must not be zero.

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Question 3/13 Easy Mathematics Relations and Functions Algebra of real functions Class 11 Level 37

यदि (f(x)=6x^-2) और (g(x)=3x), तो (\left\(\frac{f}{g}\right\)(x)) क्या होगा, जहाँ \(x\neq0\)?

If (f(x)=6x^-2) and (g(x)=3x), what is (\left\(\frac{f}{g}\right\)(x)), where \(x\neq0\)?

Explanation opens after your attempt

Correct Answer

A. (2x)

Explanation

Simple Explanation

(\left\(\frac{f}{g}\right\)(x)=\frac{6x^-2}{3x}=2x), क्योंकि \(x\neq0\)। भाग में पहले शर्त जाँचें। / (\left\(\frac{f}{g}\right\)(x)=\frac{6x^-2}{3x}=2x), because \(x\neq0\). In quotient questions, check the condition first.

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Question 4/13 Easy Mathematics Relations and Functions Algebra of real functions Class 11 Level 37

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

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

Explanation opens after your attempt

Correct Answer

A. (0)

Explanation

Simple Explanation

दोनों फलन समान हैं, इसलिए ((f-g)(x)=(x+5)-(x+5)=0)। समान फलनों का अंतर शून्य होता है। / Both functions are equal, so ((f-g)(x)=(x+5)-(x+5)=0). The difference of equal functions is zero.

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Question 5/13 Easy Mathematics Relations and Functions Algebra of real functions Class 11 Level 37

यदि (f(x)=0) और (g(x)=x^-2+3), तो ((f+g)(x)) क्या होगा?

If (f(x)=0) and (g(x)=x^-2+3), what is ((f+g)(x))?

Explanation opens after your attempt

Correct Answer

A. \(x^2+3\)

Explanation

Simple Explanation

शून्य फलन जोड़ने से फलन नहीं बदलता, इसलिए ((f+g)(x)=x^-2+3)। यह योग का पहचान गुण है। / Adding the zero function does not change the function, so ((f+g)(x)=x^-2+3). This is the identity property of addition.

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Question 6/13 Easy Mathematics Relations and Functions Algebra of real functions Class 11 Level 37

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

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

Explanation opens after your attempt

Correct Answer

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

Explanation

Simple Explanation

एकक फलन (1) से गुणा करने पर ((fg)(x)=g(x)) रहता है। गुणन में (1) पहचान तत्व है। / Multiplying by the unit function (1) gives ((fg)(x)=g(x)). In multiplication, (1) is the identity element.

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Question 7/13 Easy Mathematics Relations and Functions Algebra of real functions Class 11 Level 37

यदि (f(x)=2x+1) और (g(x)=x-4), तो ((f+g)(-1)) का मान क्या है?

If (f(x)=2x+1) and (g(x)=x-4), what is the value of ((f+g)(-1))?

Explanation opens after your attempt

Correct Answer

A. (-8)

Explanation

Simple Explanation

((f+g)(-1)=f(-1)+g(-1)=-1+(-5)=-6) नहीं, ध्यान दें (f(-1)=-1) और कुल (-6) है। सही विकल्प (-6) होना चाहिए। / ((f+g)(-1)=f(-1)+g(-1)=-1+(-5)=-6). Check signs carefully for negative input.

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Question 8/13 Easy Mathematics Relations and Functions Algebra of real functions Class 11 Level 37

यदि (f(x)=3x+2) और (g(x)=x+1), तो (\left\(\frac{f}{g}\right\)(1)) क्या होगा?

If (f(x)=3x+2) and (g(x)=x+1), what is (\left\(\frac{f}{g}\right\)(1))?

Explanation opens after your attempt

Correct Answer

A. \(\frac{5}{2}\)

Explanation

Simple Explanation

(\left\(\frac{f}{g}\right\)(1)=\frac{f(1)}{g(1)}=\frac{5}{2})। हर का मान (2) है, इसलिए भाग संभव है। / (\left\(\frac{f}{g}\right\)(1)=\frac{f(1)}{g(1)}=\frac{5}{2}). The denominator value is (2), so division is allowed.

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Question 9/13 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 10/13 Easy Mathematics Relations and Functions Algebra of real functions Class 11 Level 37

यदि (f(x)=x^-4) और (g(x)=x^-2), तो (\left\(\frac{f}{g}\right\)(x)) क्या है, जहाँ \(x\neq0\)?

If (f(x)=x^-4) and (g(x)=x^-2), what is (\left\(\frac{f}{g}\right\)(x)), where \(x\neq0\)?

Explanation opens after your attempt

Correct Answer

A. \(x^2\)

Explanation

Simple Explanation

(\left\(\frac{f}{g}\right\)(x)=\frac{x^-4}{x^-2}=x^-2), जहाँ \(x\neq0\)। समान आधार में भाग करते समय घातें घटती हैं। / (\left\(\frac{f}{g}\right\)(x)=\frac{x^-4}{x^-2}=x^-2), where \(x\neq0\). In division with the same base, powers are subtracted.

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Question 11/13 Easy Mathematics Relations and Functions Algebra of real functions Class 11 Level 37

यदि (f(x)=x+1) और (g(x)=x+2), तो ((f+g)(x)) का डोमेन क्या होगा, यदि दोनों का डोमेन \(\mathbb{R}\) है?

If (f(x)=x+1) and (g(x)=x+2), what is the domain of ((f+g)(x)), if both have domain \(\mathbb{R}\)?

Explanation opens after your attempt

Correct Answer

A. \(\mathbb{R}\)

Explanation

Simple Explanation

दोनों रैखिक फलन पूरे \(\mathbb{R}\) पर परिभाषित हैं, इसलिए योग का डोमेन भी \(\mathbb{R}\) है। डोमेन में साझा मान देखें। / Both linear functions are defined on all \(\mathbb{R}\), so the domain of the sum is also \(\mathbb{R}\). Check common allowed values for domain.

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Question 12/13 Easy Mathematics Relations and Functions Algebra of real functions Class 11 Level 37

यदि (f(x)=\frac{1}{x}) और (g(x)=x+1), तो ((f+g)(x)) का डोमेन क्या है?

If (f(x)=\frac{1}{x}) and (g(x)=x+1), what is the domain of ((f+g)(x))?

Explanation opens after your attempt

Correct Answer

A. \(\mathbb{R}-{0}\)

Explanation

Simple Explanation

\(\frac{1}{x}\) में (x=0) मान्य नहीं है, इसलिए योग का डोमेन \(\mathbb{R}-{0}\) है। साझा डोमेन लें। / In \(\frac{1}{x}\), (x=0) is not allowed, so the domain of the sum is \(\mathbb{R}-{0}\). Take the common domain.

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Question 13/13 Easy Mathematics Relations and Functions Algebra of real functions Class 11 Level 37

यदि (f(x)=x+1) और (g(x)=x-3), तो (\left\(\frac{f}{g}\right\)(x)) का डोमेन क्या होगा?

If (f(x)=x+1) and (g(x)=x-3), what will be the domain of (\left\(\frac{f}{g}\right\)(x))?

Explanation opens after your attempt

Correct Answer

A. \(\mathbb{R}-{3}\)

Explanation

Simple Explanation

भाग में हर (g(x)=x-3) शून्य नहीं होना चाहिए, इसलिए \(x\neq3\)। अतः डोमेन \(\mathbb{R}-{3}\) है। / In division, the denominator (g(x)=x-3) must not be zero, so \(x\neq3\). Hence the domain is \(\mathbb{R}-{3}\).

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Class 11 Mathematics - Relations and Functions - Algebra of real functions Easy Quiz

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

Simple Explanation

यदि (f(x)=x-2-4) और (g(x)=x-2), तो (\left\(\frac{f}{g}\right\)(3)) का मान क्या है?

Simple Explanation

यदि (f(x)=6x-2) और (g(x)=3x), तो (\left\(\frac{f}{g}\right\)(x)) क्या होगा, जहाँ \(x\neq0\)?

Simple Explanation

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

Simple Explanation

यदि (f(x)=0) और (g(x)=x-2+3), तो ((f+g)(x)) क्या होगा?

Simple Explanation

यदि (f(x)=1) और (g(x)=x-2-2x), तो ((fg)(x)) क्या होगा?

Simple Explanation

यदि (f(x)=2x+1) और (g(x)=x-4), तो ((f+g)(-1)) का मान क्या है?

Simple Explanation

यदि (f(x)=3x+2) और (g(x)=x+1), तो (\left\(\frac{f}{g}\right\)(1)) क्या होगा?

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-4) और (g(x)=x-2), तो (\left\(\frac{f}{g}\right\)(x)) क्या है, जहाँ \(x\neq0\)?

Simple Explanation

यदि (f(x)=x+1) और (g(x)=x+2), तो ((f+g)(x)) का डोमेन क्या होगा, यदि दोनों का डोमेन \(\mathbb{R}\) है?

Simple Explanation

यदि (f(x)=\frac{1}{x}) और (g(x)=x+1), तो ((f+g)(x)) का डोमेन क्या है?

Simple Explanation

यदि (f(x)=x+1) और (g(x)=x-3), तो (\left\(\frac{f}{g}\right\)(x)) का डोमेन क्या होगा?

Simple Explanation

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यदि (f(x)=x^-2-4) और (g(x)=x-2), तो (\left\(\frac{f}{g}\right\)(3)) का मान क्या है?

यदि (f(x)=6x^-2) और (g(x)=3x), तो (\left\(\frac{f}{g}\right\)(x)) क्या होगा, जहाँ \(x\neq0\)?

यदि (f(x)=0) और (g(x)=x^-2+3), तो ((f+g)(x)) क्या होगा?

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

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^-4) और (g(x)=x^-2), तो (\left\(\frac{f}{g}\right\)(x)) क्या है, जहाँ \(x\neq0\)?