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constant-term MCQ Questions for Class 10

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47 questions tagged with constant-term.

Question 1/47 Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 47

कौन सा बहुपद (x=0) को शून्य बनाता है लेकिन शून्य बहुपद नहीं है?

Which polynomial makes (x=0) a zero but is not the zero polynomial?

Explanation opens after your attempt
Correct Answer

B. \(4x^3-7x\)

Step 1

Concept

Substituting (x=0) in \(4x^3-7x\) gives (0), and it is not the zero polynomial. For (x=0), the constant term must be (0).

Step 2

Why this answer is correct

The correct answer is B. \(4x^3-7x\). Substituting (x=0) in \(4x^3-7x\) gives (0), and it is not the zero polynomial. For (x=0), the constant term must be (0).

Step 3

Exam Tip

\(4x^3-7x\) में (x=0) रखने पर (0) मिलता है और यह शून्य बहुपद नहीं है। (x=0) के लिए अचर पद (0) होना चाहिए।

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Question 2/47 Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=x-5+ax-3+b) में (p(0)=0), तो कौन सा निष्कर्ष निश्चित है?

If (p(x)=x-5+ax-3+b) has (p(0)=0), which conclusion is certain?

Explanation opens after your attempt
Correct Answer

A. (b=0)

Step 1

Concept

(p(0)=b), so (p(0)=0) certainly gives (b=0). The other conclusions are not necessary.

Step 2

Why this answer is correct

The correct answer is A. (b=0). (p(0)=b), so (p(0)=0) certainly gives (b=0). The other conclusions are not necessary.

Step 3

Exam Tip

(p(0)=b) होता है, इसलिए (p(0)=0) से (b=0) निश्चित है। बाकी निष्कर्ष जरूरी नहीं हैं।

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Question 3/47 Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=5x-2+bx+c), (p(0)=-4) और (p(1)=3), तो (b) क्या है?

If (p(x)=5x-2+bx+c), (p(0)=-4), and (p(1)=3), what is (b)?

Explanation opens after your attempt
Correct Answer

B. (2)

Step 1

Concept

(p(0)=c=-4) and (p(1)=5+b-4=3), so (b=2). First use (x=0) to find the constant term.

Step 2

Why this answer is correct

The correct answer is B. (2). (p(0)=c=-4) and (p(1)=5+b-4=3), so (b=2). First use (x=0) to find the constant term.

Step 3

Exam Tip

(p(0)=c=-4) और (p(1)=5+b-4=3), इसलिए (b=2)। पहले (x=0) से अचर पद निकालें।

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Question 4/47 Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 47

((4x+3)\(x^2-2x+5\)) में अचर पद क्या है?

What is the constant term in ((4x+3)\(x^2-2x+5\))?

Explanation opens after your attempt
Correct Answer

D. (15)

Step 1

Concept

The constant term comes only from \(3\cdot5=15\). For the constant term, multiply the constant parts.

Step 2

Why this answer is correct

The correct answer is D. (15). The constant term comes only from \(3\cdot5=15\). For the constant term, multiply the constant parts.

Step 3

Exam Tip

अचर पद केवल \(3\cdot5=15\) से आता है। अचर पद के लिए अचर भागों का गुणन देखें।

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Question 5/47 Expert Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=x-2+ax+b), (p(-4)=0) और (p(1)=0), तो (b) का मान क्या है?

If (p(x)=x-2+ax+b), (p(-4)=0), and (p(1)=0), what is the value of (b)?

Explanation opens after your attempt
Correct Answer

A. (-4)

Step 1

Concept

With zeros (-4) and (1), the polynomial is ((x+4)(x-1)=x-2+3x-4). Hence (b=-4).

Step 2

Why this answer is correct

The correct answer is A. (-4). With zeros (-4) and (1), the polynomial is ((x+4)(x-1)=x-2+3x-4). Hence (b=-4).

Step 3

Exam Tip

शून्य (-4) और (1) होने पर बहुपद ((x+4)(x-1)=x-2+3x-4) है। इसलिए (b=-4)।

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Question 6/47 Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 48

कौन सा बहुपद (x=0) को शून्य बनाता है?

Which polynomial makes (x=0) a zero?

Explanation opens after your attempt
Correct Answer

B. \(3x^3-2x\)

Step 1

Concept

Substituting (x=0) in \(3x^3-2x\) gives (0). To make (x=0) a zero, the constant term must be (0).

Step 2

Why this answer is correct

The correct answer is B. \(3x^3-2x\). Substituting (x=0) in \(3x^3-2x\) gives (0). To make (x=0) a zero, the constant term must be (0).

Step 3

Exam Tip

(x=0) रखने पर \(3x^3-2x=0\) मिलता है। (x=0) को शून्य बनाने के लिए अचर पद (0) होना चाहिए।

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Question 7/47 Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि (p(x)=x-4+ax-2+b) में (p(0)=0), तो कौन सा निष्कर्ष निश्चित है?

If (p(x)=x-4+ax-2+b) has (p(0)=0), which conclusion is certain?

Explanation opens after your attempt
Correct Answer

A. (b=0)

Step 1

Concept

(p(0)=b), so (p(0)=0) certainly gives (b=0). The other conclusions are not necessary.

Step 2

Why this answer is correct

The correct answer is A. (b=0). (p(0)=b), so (p(0)=0) certainly gives (b=0). The other conclusions are not necessary.

Step 3

Exam Tip

(p(0)=b) होता है, इसलिए (p(0)=0) से (b=0) निश्चित है। बाकी निष्कर्ष जरूरी नहीं हैं।

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Question 8/47 Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि (p(x)=3x-2+bx+c), (p(0)=7) और (p(1)=2), तो (b) क्या है?

If (p(x)=3x-2+bx+c), (p(0)=7), and (p(1)=2), what is (b)?

Explanation opens after your attempt
Correct Answer

A. (-8)

Step 1

Concept

(p(0)=c=7) and (p(1)=3+b+7=2), so (b=-8). (x=0) gives the constant term directly.

Step 2

Why this answer is correct

The correct answer is A. (-8). (p(0)=c=7) and (p(1)=3+b+7=2), so (b=-8). (x=0) gives the constant term directly.

Step 3

Exam Tip

(p(0)=c=7) और (p(1)=3+b+7=2), इसलिए (b=-8)। (x=0) अचर पद तुरंत देता है।

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Question 9/47 Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 48

((3x-2)\(x^2+5x-1\)) में अचर पद क्या है?

What is the constant term in ((3x-2)\(x^2+5x-1\))?

Explanation opens after your attempt
Correct Answer

C. (2)

Step 1

Concept

The constant term comes only from ((-2)(-1)=2). For the constant term, multiply the constant parts.

Step 2

Why this answer is correct

The correct answer is C. (2). The constant term comes only from ((-2)(-1)=2). For the constant term, multiply the constant parts.

Step 3

Exam Tip

अचर पद केवल ((-2)(-1)=2) से आता है। अचर पद के लिए अचर भागों का गुणन देखें।

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Question 10/47 Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि (p(x)=x-2+ax+b), (p(-1)=0) और (p(5)=0), तो (b) का मान क्या है?

If (p(x)=x-2+ax+b), (p(-1)=0), and (p(5)=0), what is the value of (b)?

Explanation opens after your attempt
Correct Answer

A. (-5)

Step 1

Concept

With zeros (-1) and (5), the polynomial is ((x+1)(x-5)=x-2-4x-5). Hence (b=-5).

Step 2

Why this answer is correct

The correct answer is A. (-5). With zeros (-1) and (5), the polynomial is ((x+1)(x-5)=x-2-4x-5). Hence (b=-5).

Step 3

Exam Tip

शून्य (-1) और (5) होने पर बहुपद ((x+1)(x-5)=x-2-4x-5) है। इसलिए (b=-5)।

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Question 11/47 Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 46

यदि \(x^2+mx+n\) का एक शून्यक (0) है और दूसरा शून्यक (5) है, तो (m+n) क्या होगा?

If one zero of \(x^2+mx+n\) is (0) and the other zero is (5), what is (m+n)?

Explanation opens after your attempt
Correct Answer

A. (-5)

Step 1

Concept

The sum is (5), so (m=-5), and the product is (0), so (n=0). Hence (m+n=-5).

Step 2

Why this answer is correct

The correct answer is A. (-5). The sum is (5), so (m=-5), and the product is (0), so (n=0). Hence (m+n=-5).

Step 3

Exam Tip

योग (5) है इसलिए (m=-5), और गुणनफल (0) है इसलिए (n=0)। अतः (m+n=-5)।

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Question 12/47 Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 47

कौन सा बहुपद (x=0) को शून्य नहीं बनाता?

Which polynomial does not make (x=0) a zero?

Explanation opens after your attempt
Correct Answer

D. \(x^2+1\)

Step 1

Concept

On substituting (x=0), \(x^2+1=1\), so (0) is not its zero. The constant term is decisive at (x=0).

Step 2

Why this answer is correct

The correct answer is D. \(x^2+1\). On substituting (x=0), \(x^2+1=1\), so (0) is not its zero. The constant term is decisive at (x=0).

Step 3

Exam Tip

(x=0) रखने पर \(x^2+1=1\), इसलिए (0) इसका शून्य नहीं है। (x=0) पर अचर पद निर्णायक होता है।

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Question 13/47 Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=2x-2+bx+c), (p(0)=5) और (p(1)=1), तो (b) क्या है?

If (p(x)=2x-2+bx+c), (p(0)=5), and (p(1)=1), what is (b)?

Explanation opens after your attempt
Correct Answer

A. (-6)

Step 1

Concept

(p(0)=c=5) and (p(1)=2+b+5=1), so (b=-6). The constant term is found quickly from (x=0).

Step 2

Why this answer is correct

The correct answer is A. (-6). (p(0)=c=5) and (p(1)=2+b+5=1), so (b=-6). The constant term is found quickly from (x=0).

Step 3

Exam Tip

(p(0)=c=5) और (p(1)=2+b+5=1), इसलिए (b=-6)। (x=0) से अचर पद तुरंत मिलता है।

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Question 14/47 Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 47

((2x-3)\(x^2+x+1\)) में अचर पद क्या है?

What is the constant term in ((2x-3)\(x^2+x+1\))?

Explanation opens after your attempt
Correct Answer

A. (-3)

Step 1

Concept

The constant term comes only from ((-3)\cdot1=-3). For the constant term, multiply the constant parts.

Step 2

Why this answer is correct

The correct answer is A. (-3). The constant term comes only from ((-3)\cdot1=-3). For the constant term, multiply the constant parts.

Step 3

Exam Tip

अचर पद केवल ((-3)\cdot1=-3) से आता है। अचर पद के लिए अचर पदों का गुणन देखें।

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Question 15/47 Hard Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=x-2+ax+b), (p(1)=0) और (p(3)=0), तो (b) का मान क्या है?

If (p(x)=x-2+ax+b), (p(1)=0), and (p(3)=0), what is the value of (b)?

Explanation opens after your attempt
Correct Answer

C. (3)

Step 1

Concept

With zeros (1) and (3), the polynomial is ((x-1)(x-3)=x-2-4x+3). Hence (b=3).

Step 2

Why this answer is correct

The correct answer is C. (3). With zeros (1) and (3), the polynomial is ((x-1)(x-3)=x-2-4x+3). Hence (b=3).

Step 3

Exam Tip

शून्य (1) और (3) होने पर बहुपद ((x-1)(x-3)=x-2-4x+3) है। इसलिए (b=3)।

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Question 16/47 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 48

(p(x)=3x-3-7x-2+2x-11) में \(x^2\) के गुणांक और अचर पद का योग क्या है?

In (p(x)=3x-3-7x-2+2x-11), what is the sum of the coefficient of \(x^2\) and the constant term?

Explanation opens after your attempt
Correct Answer

A. (-18)

Step 1

Concept

The coefficient of \(x^2\) is (-7) and the constant term is (-11), so the sum is (-18). Do not forget to add with signs.

Step 2

Why this answer is correct

The correct answer is A. (-18). The coefficient of \(x^2\) is (-7) and the constant term is (-11), so the sum is (-18). Do not forget to add with signs.

Step 3

Exam Tip

\(x^2\) का गुणांक (-7) और अचर पद (-11) है, इसलिए योग (-18) है। संकेत सहित जोड़ना न भूलें।

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Question 17/47 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 48

यदि (p(x)=2x-2-5x+c) और (p(4)=7), तो (c) का मान क्या है?

If (p(x)=2x-2-5x+c) and (p(4)=7), what is the value of (c)?

Explanation opens after your attempt
Correct Answer

A. (-5)

Step 1

Concept

(p(4)=32-20+c=7), so (12+c=7) and (c=-5). Substitute the given value to find the unknown constant term.

Step 2

Why this answer is correct

The correct answer is A. (-5). (p(4)=32-20+c=7), so (12+c=7) and (c=-5). Substitute the given value to find the unknown constant term.

Step 3

Exam Tip

(p(4)=32-20+c=7), इसलिए (12+c=7) और (c=-5)। दिए गए मान को रखकर अज्ञात अचर पद निकालें।

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Question 18/47 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=ax-3+bx-2+cx+d) और (p(0)=-7), तो (d) का मान क्या है?

If (p(x)=ax-3+bx-2+cx+d) and (p(0)=-7), what is the value of (d)?

Explanation opens after your attempt
Correct Answer

B. (-7)

Step 1

Concept

Putting (x=0) gives (p(0)=d). Therefore (d=-7).

Step 2

Why this answer is correct

The correct answer is B. (-7). Putting (x=0) gives (p(0)=d). Therefore (d=-7).

Step 3

Exam Tip

(x=0) रखने पर (p(0)=d) मिलता है। इसलिए (d=-7) है।

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Question 19/47 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 48

(p(x)=x-2-8x+13) के लिए (p(0)) क्या है?

For (p(x)=x-2-8x+13), what is (p(0))?

Explanation opens after your attempt
Correct Answer

C. (13)

Step 1

Concept

(p(0)=0-0+13=13). When (x=0), only the constant term remains.

Step 2

Why this answer is correct

The correct answer is C. (13). (p(0)=0-0+13=13). When (x=0), only the constant term remains.

Step 3

Exam Tip

(p(0)=0-0+13=13)। (x=0) रखने पर अचर पद ही बचता है।

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Question 20/47 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 48

बहुपद (p(t)=4t-5-6t-2+t+15) में अचर पद कौन सा है?

Which is the constant term in the polynomial (p(t)=4t-5-6t-2+t+15)?

Explanation opens after your attempt
Correct Answer

D. (15)

Step 1

Concept

The term without (t) is the constant term. Here the constant term is (15).

Step 2

Why this answer is correct

The correct answer is D. (15). The term without (t) is the constant term. Here the constant term is (15).

Step 3

Exam Tip

जिस पद में (t) नहीं है वह अचर पद है। यहां अचर पद (15) है।

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Question 21/47 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

कौन सा विकल्प \(2x^3-5x^2+x-4\) की घात और नियत पद को सही बताता है?

Which option correctly gives the degree and constant term of \(2x^3-5x^2+x-4\)?

Explanation opens after your attempt
Correct Answer

A. घात (3), नियत पद (-4)Degree (3), constant term (-4)

Step 1

Concept

The highest power is (3) and the term without (x) is (-4). So the correct pair is degree (3), constant term (-4).

Step 2

Why this answer is correct

The correct answer is A. घात (3), नियत पद (-4) / Degree (3), constant term (-4). The highest power is (3) and the term without (x) is (-4). So the correct pair is degree (3), constant term (-4).

Step 3

Exam Tip

सबसे बड़ी घात (3) है और बिना (x) वाला पद (-4) है। इसलिए सही जोड़ी घात (3), नियत पद (-4) है।

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Question 22/47 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

यदि (p(x)=x-2+5x+c) में नियत पद (-6) है, तो (p(0)) क्या होगा?

If the constant term in (p(x)=x-2+5x+c) is (-6), what will (p(0)) be?

Explanation opens after your attempt
Correct Answer

B. (-6)

Step 1

Concept

(p(0)) is always equal to the constant term. Here the constant term is (-6).

Step 2

Why this answer is correct

The correct answer is B. (-6). (p(0)) is always equal to the constant term. Here the constant term is (-6).

Step 3

Exam Tip

(p(0)) हमेशा नियत पद के बराबर होता है। यहाँ नियत पद (-6) है।

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Question 23/47 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

बहुपद \(4x^3-2x^2+7x-9\) में \(x^2\) के गुणांक और नियत पद का योग क्या है?

In the polynomial \(4x^3-2x^2+7x-9\), what is the sum of the coefficient of \(x^2\) and the constant term?

Explanation opens after your attempt
Correct Answer

A. (-11)

Step 1

Concept

The coefficient of \(x^2\) is (-2) and the constant term is (-9). Their sum is (-11).

Step 2

Why this answer is correct

The correct answer is A. (-11). The coefficient of \(x^2\) is (-2) and the constant term is (-9). Their sum is (-11).

Step 3

Exam Tip

\(x^2\) का गुणांक (-2) और नियत पद (-9) है। उनका योग (-11) है।

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Question 24/47 Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 47

बहुपद \(12x^2-9x+4\) में नियत पद कौन सा है?

Which is the constant term in \(12x^2-9x+4\)?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

The term without (x) is the constant term. Here the constant term is (4).

Step 2

Why this answer is correct

The correct answer is C. (4). The term without (x) is the constant term. Here the constant term is (4).

Step 3

Exam Tip

जिस पद में (x) नहीं है वह नियत पद होता है। यहाँ नियत पद (4) है।

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Question 25/47 Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 47

बहुपद (p(x)=2x-2+3) में (p(0)) का मान क्या है?

For the polynomial (p(x)=2x-2+3), what is the value of (p(0))?

Explanation opens after your attempt
Correct Answer

C. (3)

Step 1

Concept

(p(0)=2(0)2+3=3). When (x=0), the constant term remains.

Step 2

Why this answer is correct

The correct answer is C. (3). (p(0)=2(0)2+3=3). When (x=0), the constant term remains.

Step 3

Exam Tip

(p(0)=2(0)2+3=3) है। (x=0) रखने पर नियत पद बचता है।

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Question 26/47 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

(p(x)=x-2-5x+6) के लिए (p(0)) क्या है?

For (p(x)=x-2-5x+6), what is (p(0))?

Explanation opens after your attempt
Correct Answer

D. (6)

Step 1

Concept

(p(0)=0-0+6=6). When (x=0), only the constant term remains.

Step 2

Why this answer is correct

The correct answer is D. (6). (p(0)=0-0+6=6). When (x=0), only the constant term remains.

Step 3

Exam Tip

(p(0)=0-0+6=6)। (x=0) रखने पर केवल अचर पद बचता है।

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Question 27/47 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 46

व्यंजक \(5x^4-8x+11\) में अचर पद कौन सा है?

Which is the constant term in \(5x^4-8x+11\)?

Explanation opens after your attempt
Correct Answer

C. (11)

Step 1

Concept

The term without (x) is the constant term. Here the constant term is (11).

Step 2

Why this answer is correct

The correct answer is C. (11). The term without (x) is the constant term. Here the constant term is (11).

Step 3

Exam Tip

जिस पद में (x) नहीं होता वह अचर पद है। यहां अचर पद (11) है।

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Question 28/47 Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 47

बहुपद \(2x^2+3x-11\) में नियत पद कौन सा है?

Which is the constant term in \(2x^2+3x-11\)?

Explanation opens after your attempt
Correct Answer

C. (-11)

Step 1

Concept

The term without (x) is the constant term. Here the constant term is (-11).

Step 2

Why this answer is correct

The correct answer is C. (-11). The term without (x) is the constant term. Here the constant term is (-11).

Step 3

Exam Tip

जिस पद में (x) नहीं होता वह नियत पद होता है। यहाँ नियत पद (-11) है।

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Question 29/47 Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 48

(p(x)=7x-2) में नियत पद क्या है?

What is the constant term in (p(x)=7x-2)?

Explanation opens after your attempt
Correct Answer

C. (0)

Step 1

Concept

There is no separate constant term, so the constant term is (0). Do not treat a term containing (x) as constant.

Step 2

Why this answer is correct

The correct answer is C. (0). There is no separate constant term, so the constant term is (0). Do not treat a term containing (x) as constant.

Step 3

Exam Tip

कोई अलग नियत पद नहीं है, इसलिए नियत पद (0) है। केवल (x) वाले पद को नियत पद न मानें।

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Question 30/47 Easy Mathematics Polynomials Polynomials in one variable Class 10 Level 48

बहुपद \(2x^2+3x+4\) में (x) का गुणांक और नियत पद क्रमशः क्या हैं?

In \(2x^2+3x+4\), what are the coefficient of (x) and the constant term respectively?

Explanation opens after your attempt
Correct Answer

A. (3,4)

Step 1

Concept

The coefficient of (x) is (3), and the constant term is (4). Keep the asked order in mind.

Step 2

Why this answer is correct

The correct answer is A. (3,4). The coefficient of (x) is (3), and the constant term is (4). Keep the asked order in mind.

Step 3

Exam Tip

(x) का गुणांक (3) और नियत पद (4) है। क्रमशः पूछे गए क्रम का ध्यान रखें।

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