बहुपद \(8x^5-3x^2+4\) में \(x^3\) का गुणांक क्या है?
What is the coefficient of \(x^3\) in \(8x^5-3x^2+4\)?
#missing-term
#coefficient
A (8)
B (-3)
C (0)
D (4)
Explanation opens after your attempt
Step 1
Concept
There is no \(x^3\) term, so its coefficient is (0). The coefficient of a missing term is taken as (0).
Step 2
Why this answer is correct
The correct answer is C. (0). There is no \(x^3\) term, so its coefficient is (0). The coefficient of a missing term is taken as (0).
Step 3
Exam Tip
इस बहुपद में \(x^3\) का पद नहीं है इसलिए उसका गुणांक (0) है। अनुपस्थित पद का गुणांक (0) माना जाता है।
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यदि (p(x)=2x-3 -5x+9) है, तो इसमें \(x^2\) का गुणांक क्या है?
If (p(x)=2x-3 -5x+9), what is the coefficient of \(x^2\)?
#polynomials
#one-variable
#coefficient
#missing-term
A (2)
B (-5)
C (9)
D (0)
Explanation opens after your attempt
Step 1
Concept
There is no \(x^2\)-term in this polynomial, so its coefficient is (0). The coefficient of a missing term is always taken as (0).
Step 2
Why this answer is correct
The correct answer is D. (0). There is no \(x^2\)-term in this polynomial, so its coefficient is (0). The coefficient of a missing term is always taken as (0).
Step 3
Exam Tip
इस बहुपद में \(x^2\) पद नहीं है, इसलिए उसका गुणांक (0) है। अनुपस्थित पद का गुणांक हमेशा (0) माना जाता है।
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(p(x)=7x-2 ) में नियत पद क्या है?
What is the constant term in (p(x)=7x-2 )?
#polynomials
#constant-term
#easy
#missing-term
A (7)
B (2)
C (0)
D (1)
Explanation opens after your attempt
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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\(x^4+3x^2+2\) में कौन सा पद अनुपस्थित है?
Which term is missing in \(x^4+3x^2+2\)?
#polynomials
#missing-term
#easy
#standard-form
A \(x^4\)
B \(x^3\)
C \(3x^2\)
D (2)
Explanation opens after your attempt
Correct Answer
B. \(x^3\)
Step 1
Concept
The \(x^3\)-term is not present in this polynomial. Its coefficient may be taken as (0).
Step 2
Why this answer is correct
The correct answer is B. \(x^3\). The \(x^3\)-term is not present in this polynomial. Its coefficient may be taken as (0).
Step 3
Exam Tip
इस बहुपद में \(x^3\) पद नहीं है। अनुपस्थित पद का गुणांक (0) माना जा सकता है।
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\(4x^3+x+2\) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in \(4x^3+x+2\)?
#polynomials
#missing-term
#easy
#coefficient
A (4)
B (1)
C (2)
D (0)
Explanation opens after your attempt
Step 1
Concept
There is no \(x^2\)-term, so its coefficient is (0). The coefficient of a missing term is taken as zero.
Step 2
Why this answer is correct
The correct answer is D. (0). There is no \(x^2\)-term, so its coefficient is (0). The coefficient of a missing term is taken as zero.
Step 3
Exam Tip
इस बहुपद में \(x^2\) पद नहीं है, इसलिए उसका गुणांक (0) है। अनुपस्थित पद का गुणांक शून्य माना जाता है।
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बहुपद (p(x)=2x-4 -5x-3 +x-8) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in (p(x)=2x-4 -5x-3 +x-8)?
#coefficient
#missing_term
#degree_four
A (2)
B \(-5\)
C (1)
D (0)
Explanation opens after your attempt
Step 1
Concept
There is no \(x^2\) term in this polynomial. Therefore the coefficient of \(x^2\) is (0).
Step 2
Why this answer is correct
The correct answer is D. (0). There is no \(x^2\) term in this polynomial. Therefore the coefficient of \(x^2\) is (0).
Step 3
Exam Tip
इस बहुपद में \(x^2\) पद नहीं है। इसलिए \(x^2\) का गुणांक (0) है।
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बहुपद \(2x^2-9\) में (x) का गुणांक क्या है?
What is the coefficient of (x) in \(2x^2-9\)?
#coefficient
#missing_term
#polynomials
A (2)
B \(-9\)
C (0)
D (1)
Explanation opens after your attempt
Step 1
Concept
There is no (x)-term, so its coefficient is (0). In exams, treat the coefficient of a missing term as (0).
Step 2
Why this answer is correct
The correct answer is C. (0). There is no (x)-term, so its coefficient is (0). In exams, treat the coefficient of a missing term as (0).
Step 3
Exam Tip
इसमें (x) वाला पद लिखा नहीं है इसलिए उसका गुणांक (0) है। परीक्षा में लुप्त पद का गुणांक (0) मानें।
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बहुपद \(x^5-4x^2+10\) में लुप्त \(x^4\) पद का गुणांक क्या है?
What is the coefficient of the missing \(x^4\) term in \(x^5-4x^2+10\)?
#missing_term
#coefficient
#polynomials
A (1)
B \(-4\)
C (0)
D (10)
Explanation opens after your attempt
Step 1
Concept
A missing term is treated as having coefficient (0). So the coefficient of \(x^4\) is (0).
Step 2
Why this answer is correct
The correct answer is C. (0). A missing term is treated as having coefficient (0). So the coefficient of \(x^4\) is (0).
Step 3
Exam Tip
जो पद लिखा नहीं है उसका गुणांक (0) माना जाता है। इसलिए \(x^4\) का गुणांक (0) है।
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यदि \(x^2+10x+k\) एक पूर्ण वर्ग हो और उसका रूप ((x+5)2 ) हो, तो (k) क्या होगा?
If \(x^2+10x+k\) is a perfect square and its form is ((x+5)2 ), what is (k)?
#quadratic
#perfect-square
#missing-term
A (25)
B (5)
C (10)
D (50)
Explanation opens after your attempt
Step 1
Concept
((x+5)2 =x-2 +10x+25), so (k=25). In exams, remember perfect square expansion.
Step 2
Why this answer is correct
The correct answer is A. (25). ((x+5)2 =x-2 +10x+25), so (k=25). In exams, remember perfect square expansion.
Step 3
Exam Tip
((x+5)2 =x-2 +10x+25), इसलिए (k=25) है। परीक्षा में पूर्ण वर्ग विस्तार याद रखें।
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यदि \(x^2-6x+k\) एक पूर्ण वर्ग हो और उसका रूप ((x-3)2 ) हो, तो (k) क्या होगा?
If \(x^2-6x+k\) is a perfect square and its form is ((x-3)2 ), what is (k)?
#quadratic
#perfect-square
#missing-term
A (9)
B (3)
C (6)
D (12)
Explanation opens after your attempt
Step 1
Concept
((x-3)2 =x-2 -6x+9), so (k=9). In exams, remember perfect square expansion.
Step 2
Why this answer is correct
The correct answer is A. (9). ((x-3)2 =x-2 -6x+9), so (k=9). In exams, remember perfect square expansion.
Step 3
Exam Tip
((x-3)2 =x-2 -6x+9), इसलिए (k=9) है। परीक्षा में पूर्ण वर्ग विस्तार याद रखें।
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किस समीकरण में (b=0) और (c>0) है?
Which equation has (b=0) and (c>0)?
#quadratic-equations
#coefficients
#missing-term
#medium
A \(x^2+6x+9=0\)
B \(5x^2+20=0\)
C \(2x^2-14=0\)
D \(x^2-x=0\)
Explanation opens after your attempt
Correct Answer
B. \(5x^2+20=0\)
Step 1
Concept
In \(5x^2+20=0\), the (x) term is absent, so (b=0) and (c=20>0). Treat a missing term coefficient as (0).
Step 2
Why this answer is correct
The correct answer is B. \(5x^2+20=0\). In \(5x^2+20=0\), the (x) term is absent, so (b=0) and (c=20>0). Treat a missing term coefficient as (0).
Step 3
Exam Tip
\(5x^2+20=0\) में (x) पद अनुपस्थित है, इसलिए (b=0) और (c=20>0) है। अनुपस्थित पद का गुणांक (0) मानें।
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किस समीकरण में (b=0) और (c<0) है?
Which equation has (b=0) and (c<0)?
#quadratic-equations
#coefficients
#missing-term
#medium
A \(x^2+5x-6=0\)
B \(3x^2-12=0\)
C \(2x^2+4=0\)
D \(x^2-x=0\)
Explanation opens after your attempt
Correct Answer
B. \(3x^2-12=0\)
Step 1
Concept
In \(3x^2-12=0\), (b=0) and (c=-12). Treat the missing (x) term coefficient as (0).
Step 2
Why this answer is correct
The correct answer is B. \(3x^2-12=0\). In \(3x^2-12=0\), (b=0) and (c=-12). Treat the missing (x) term coefficient as (0).
Step 3
Exam Tip
\(3x^2-12=0\) में (b=0) और (c=-12) है। अनुपस्थित (x) पद का गुणांक (0) मानें।
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समीकरण \(x^2+7x=0\) में (c) का मान क्या है?
What is the value of (c) in \(x^2+7x=0\)?
#quadratic-equations
#coefficient-c
#missing-term
A (1)
B (7)
C \(-7\)
D (0)
Explanation opens after your attempt
Step 1
Concept
Comparing with standard form, the constant term is absent, so (c=0). Treat a missing constant term as (0).
Step 2
Why this answer is correct
The correct answer is D. (0). Comparing with standard form, the constant term is absent, so (c=0). Treat a missing constant term as (0).
Step 3
Exam Tip
मानक रूप से मिलाने पर स्थिर पद अनुपस्थित है इसलिए (c=0) है। अनुपस्थित स्थिर पद को (0) मानें।
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समीकरण \(x^2-7=0\) में रैखिक पद कौन-सा है?
What is the linear term in \(x^2-7=0\)?
#quadratic-equations
#linear-term
#missing-term
A \(x^2\)
B (-7)
C (0x)
D (7x)
Explanation opens after your attempt
Step 1
Concept
There is no (x) term, so the linear term is considered (0x). A missing term has coefficient (0).
Step 2
Why this answer is correct
The correct answer is C. (0x). There is no (x) term, so the linear term is considered (0x). A missing term has coefficient (0).
Step 3
Exam Tip
इसमें (x) वाला पद नहीं है इसलिए रैखिक पद (0x) माना जाता है। अनुपस्थित पद का गुणांक (0) होता है।
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समीकरण \(x^2-13x=0\) में कौन सा पद अनुपस्थित है?
Which term is absent in \(x^2-13x=0\)?
#quadratic equations
#missing term
#constant
A द्विघात पद / Quadratic term
B रैखिक पद / Linear term
C स्थिर पद / Constant term
D चर पद / Variable term
Explanation opens after your attempt
Correct Answer
C. स्थिर पद / Constant term
Step 1
Concept
It can be written as \(x^2-13x+0=0\). So the constant term is absent.
Step 2
Why this answer is correct
The correct answer is C. स्थिर पद / Constant term. It can be written as \(x^2-13x+0=0\). So the constant term is absent.
Step 3
Exam Tip
इसे \(x^2-13x+0=0\) लिखा जा सकता है। इसलिए स्थिर पद अनुपस्थित है।
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समीकरण \(3x^2-21=0\) में (a), (b), (c) कौन से हैं?
What are (a), (b), (c) in \(3x^2-21=0\)?
#quadratic equations
#coefficients
#missing term
A (3,0,-21)
B (3,-21,0)
C (0,3,-21)
D (-21,0,3)
Explanation opens after your attempt
Correct Answer
A. (3,0,-21)
Step 1
Concept
Write it as \(3x^2+0x-21=0\). So (a=3), (b=0), (c=-21).
Step 2
Why this answer is correct
The correct answer is A. (3,0,-21). Write it as \(3x^2+0x-21=0\). So (a=3), (b=0), (c=-21).
Step 3
Exam Tip
इसे \(3x^2+0x-21=0\) लिखें। इसलिए (a=3), (b=0), (c=-21) हैं।
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समीकरण \(x^2+10x=0\) में कौन सा पद अनुपस्थित है?
Which term is absent in \(x^2+10x=0\)?
#quadratic equations
#missing term
#constant
A द्विघात पद / Quadratic term
B रैखिक पद / Linear term
C स्थिर पद / Constant term
D सभी पद / All terms
Explanation opens after your attempt
Correct Answer
C. स्थिर पद / Constant term
Step 1
Concept
It is treated as \(x^2+10x+0=0\). So the constant term is absent.
Step 2
Why this answer is correct
The correct answer is C. स्थिर पद / Constant term. It is treated as \(x^2+10x+0=0\). So the constant term is absent.
Step 3
Exam Tip
इसे \(x^2+10x+0=0\) माना जाता है। इसलिए स्थिर पद अनुपस्थित है।
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समीकरण \(7x^2-14=0\) में (a), (b), (c) कौन से हैं?
What are (a), (b), (c) in \(7x^2-14=0\)?
#quadratic equations
#coefficients
#missing term
A (7,0,-14)
B (7,-14,0)
C (0,7,-14)
D \(-14,0,7\)
Explanation opens after your attempt
Correct Answer
A. (7,0,-14)
Step 1
Concept
Write it as \(7x^2+0x-14=0\). Then (a=7), (b=0), (c=-14).
Step 2
Why this answer is correct
The correct answer is A. (7,0,-14). Write it as \(7x^2+0x-14=0\). Then (a=7), (b=0), (c=-14).
Step 3
Exam Tip
इसे \(7x^2+0x-14=0\) लिखें। इससे (a=7), (b=0), (c=-14) मिलते हैं।
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