Mathematics Chapter 2: Polynomials MCQ Questions for Class 10
Practice Class 10 Mathematics Chapter 2: Polynomials chapter-wise MCQs with topic-wise questions, correct answers, explanations and timed quiz levels for exam revision. Topics include Geometrical meaning of the zeroes of a polynomial., Irrational numbers and real numbers, Operations on real numbers and the laws of exponents, Polynomials in one variable, Representing real numbers on the number line.
Class 10 Mathematics Chapter 2: Polynomials Practice
Practice Class 10 Mathematics Chapter 2: Polynomials chapter-wise MCQs with topic-wise questions, correct answers, explanations and timed quiz levels for exam revision.
Practice Chapter 2: Polynomials MCQs with instant answer feedback and easy explanations.
Use topic chips to revise important subtopics before starting the timed quiz.
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Chapter 2: Polynomials - Topics Covered
Mathematics Chapter 2: Polynomials ke topic-wise MCQs yahan grouped context me milenge. jo aap ko Exam ki preparation me madad milegi. Ye questions exam-oriented hai and students ko concept clarity, quick revision aur board exam preparation kaafi madad karenge. Sabhi se jude MCQs important topics ke anusar arranged hai, taaki aap Chapter 2: Polynomials ko easy tarike se practice aur revise kar sake.
1
Geometrical meaning of the zeroes of a polynomial.
600 MCQs
100
Irrational numbers and real numbers
300 MCQs
100
Operations on real numbers and the laws of exponents
0 MCQs
100
Polynomials in one variable
0 MCQs
100
Representing real numbers on the number line
0 MCQs
Start Chapter 2: Polynomials Quiz
Difficulty select karke Mathematics / Chapter 2: Polynomials chapter-filtered timed practice karein. Har button me live question count show hoga.
A. वह बिंदु जहाँ ग्राफ (x)-अक्ष को काटता है/The point where the graph cuts the (x)-axis
Step 1
Concept
A zero is the (x)-value for which (p(x)=0). On the graph, it is shown where the curve meets the (x)-axis.
Step 2
Why this answer is correct
The correct answer is A. वह बिंदु जहाँ ग्राफ (x)-अक्ष को काटता है / The point where the graph cuts the (x)-axis. A zero is the (x)-value for which (p(x)=0). On the graph, it is shown where the curve meets the (x)-axis.
Step 3
Exam Tip
किसी बहुपद का शून्यक वह (x)-मान होता है जहाँ (p(x)=0) होता है। ग्राफ में यह (x)-अक्ष पर मिलने वाला बिंदु बताता है।
Zeroes are the (x)-coordinates of the points where the graph meets the (x)-axis. So the zeroes are (-2) and (4).
Step 2
Why this answer is correct
The correct answer is A. (-2) और (4) / (-2) and (4). Zeroes are the (x)-coordinates of the points where the graph meets the (x)-axis. So the zeroes are (-2) and (4).
Step 3
Exam Tip
शून्यक हमेशा (x)-अक्ष पर कटने वाले बिंदुओं के (x)-निर्देशांक होते हैं। इसलिए शून्यक (-2) और (4) हैं।
A. जहाँ ग्राफ (x)-अक्ष को छूता या काटता है/Where the graph touches or cuts the (x)-axis
Step 1
Concept
For a zero, (y=0), and this happens on the (x)-axis. So look at the points where the graph meets the (x)-axis.
Step 2
Why this answer is correct
The correct answer is A. जहाँ ग्राफ (x)-अक्ष को छूता या काटता है / Where the graph touches or cuts the (x)-axis. For a zero, (y=0), and this happens on the (x)-axis. So look at the points where the graph meets the (x)-axis.
Step 3
Exam Tip
शून्यक के लिए (y=0) होना चाहिए और यह स्थिति (x)-अक्ष पर होती है। इसलिए (x)-अक्ष से मिलने वाले बिंदु देखें।
The graph of a quadratic polynomial is a parabola. Two distinct intersections with the (x)-axis show two real zeroes.
Step 2
Why this answer is correct
The correct answer is A. दो / Two. The graph of a quadratic polynomial is a parabola. Two distinct intersections with the (x)-axis show two real zeroes.
Step 3
Exam Tip
द्विघात बहुपद का ग्राफ परवलय होता है। (x)-अक्ष पर दो अलग-अलग कटाव दो वास्तविक शून्यक बताते हैं।
When a parabola touches the (x)-axis at one point, it has one real zero. In exams, touching the (x)-axis also counts as meeting it.
Step 2
Why this answer is correct
The correct answer is A. एक / One. When a parabola touches the (x)-axis at one point, it has one real zero. In exams, touching the (x)-axis also counts as meeting it.
Step 3
Exam Tip
जब परवलय (x)-अक्ष को केवल एक बिंदु पर छूता है, तो एक वास्तविक शून्यक होता है। परीक्षा में छूना भी (x)-अक्ष से मिलना माना जाता है।
A. (x)-अक्ष से मिलने वाले बिंदु/Points meeting the (x)-axis
Step 1
Concept
For a zero, (p(x)=0), which means (y=0). Points with (y=0) lie on the (x)-axis.
Step 2
Why this answer is correct
The correct answer is A. (x)-अक्ष से मिलने वाले बिंदु / Points meeting the (x)-axis. For a zero, (p(x)=0), which means (y=0). Points with (y=0) lie on the (x)-axis.
Step 3
Exam Tip
शून्यक के लिए (p(x)=0), यानी (y=0) होना चाहिए। (y=0) वाले बिंदु (x)-अक्ष पर होते हैं।
A. (-5) बहुपद का शून्यक है/(-5) is a zero of the polynomial
Step 1
Concept
The (x)-value where the graph cuts the (x)-axis is the zero. Do not ignore the negative sign.
Step 2
Why this answer is correct
The correct answer is A. (-5) बहुपद का शून्यक है / (-5) is a zero of the polynomial. The (x)-value where the graph cuts the (x)-axis is the zero. Do not ignore the negative sign.
Step 3
Exam Tip
जहाँ ग्राफ (x)-अक्ष को काटता है वही (x)-मान शून्यक होता है। ऋण चिह्न को अनदेखा न करें।
Each distinct intersection with the (x)-axis gives one zero. Here there are three distinct points, so there are three zeroes.
Step 2
Why this answer is correct
The correct answer is A. (3). Each distinct intersection with the (x)-axis gives one zero. Here there are three distinct points, so there are three zeroes.
Step 3
Exam Tip
हर अलग (x)-अक्ष कटाव एक शून्यक देता है। यहाँ तीन अलग बिंदु हैं, इसलिए तीन शून्यक हैं।
The graph of (p(x)=5) is a line parallel to the (x)-axis and does not cut it. Hence it has no zero.
Step 2
Why this answer is correct
The correct answer is A. कोई शून्यक नहीं / No zero. The graph of (p(x)=5) is a line parallel to the (x)-axis and does not cut it. Hence it has no zero.
Step 3
Exam Tip
(p(x)=5) का ग्राफ (x)-अक्ष के समानांतर रेखा है जो (x)-अक्ष को नहीं काटती। इसलिए इसका कोई शून्यक नहीं है।
A. नहीं, क्योंकि \(y\neq 0\) है/No, because \(y\neq 0\)
Step 1
Concept
For a zero, (y=0) is required. In ((0,4)), (y=4), so (0) is not a zero.
Step 2
Why this answer is correct
The correct answer is A. नहीं, क्योंकि \(y\neq 0\) है / No, because \(y\neq 0\). For a zero, (y=0) is required. In ((0,4)), (y=4), so (0) is not a zero.
Step 3
Exam Tip
शून्यक के लिए (y=0) होना चाहिए। ((0,4)) में (y=4) है, इसलिए (0) शून्यक नहीं है।
Each distinct intersection with the (x)-axis gives one real zero. With two intersections, there are two real zeroes.
Step 2
Why this answer is correct
The correct answer is A. दो / Two. Each distinct intersection with the (x)-axis gives one real zero. With two intersections, there are two real zeroes.
Step 3
Exam Tip
(x)-अक्ष से प्रत्येक अलग कटाव एक वास्तविक शून्यक देता है। दो कटाव होने पर दो वास्तविक शून्यक होंगे।
A value is called a zero only when the polynomial value at that point is (0). So for (x=2), (p(2)=0) is required.
Step 2
Why this answer is correct
The correct answer is A. जब (p(2)=0) हो / When (p(2)=0). A value is called a zero only when the polynomial value at that point is (0). So for (x=2), (p(2)=0) is required.
Step 3
Exam Tip
किसी मान को शून्यक तभी कहते हैं जब उस पर बहुपद का मान (0) हो। इसलिए (x=2) के लिए (p(2)=0) होना चाहिए।
Zeroes are the (x)-coordinates of the points where the graph cuts the (x)-axis. So the zeroes are (2) and (7).
Step 2
Why this answer is correct
The correct answer is A. (2) और (7) / (2) and (7). Zeroes are the (x)-coordinates of the points where the graph cuts the (x)-axis. So the zeroes are (2) and (7).
Step 3
Exam Tip
शून्यक (x)-अक्ष पर कटने वाले बिंदुओं के (x)-निर्देशांक होते हैं। इसलिए शून्यक (2) और (7) हैं।
A. जो (x)-अक्ष को ((-3,0)) और ((2,0)) पर काटे/One that cuts the (x)-axis at ((-3,0)) and ((2,0))
Step 1
Concept
If the zeroes are (-3) and (2), the graph cuts the (x)-axis at those (x)-values. So the points are ((-3,0)) and ((2,0)).
Step 2
Why this answer is correct
The correct answer is A. जो (x)-अक्ष को ((-3,0)) और ((2,0)) पर काटे / One that cuts the (x)-axis at ((-3,0)) and ((2,0)). If the zeroes are (-3) and (2), the graph cuts the (x)-axis at those (x)-values. So the points are ((-3,0)) and ((2,0)).
Step 3
Exam Tip
शून्यक (-3) और (2) होने पर ग्राफ (x)-अक्ष को इन्हीं (x)-मानों पर काटेगा। इसलिए बिंदु ((-3,0)) और ((2,0)) होंगे।
Zeroes are found from intersections with the (x)-axis, not the (y)-axis. So if there is no (x)-axis intersection, there are (0) real zeroes.
Step 2
Why this answer is correct
The correct answer is A. (0). Zeroes are found from intersections with the (x)-axis, not the (y)-axis. So if there is no (x)-axis intersection, there are (0) real zeroes.
Step 3
Exam Tip
शून्यक (x)-अक्ष से मिलने पर मिलते हैं, (y)-अक्ष से नहीं। इसलिए (x)-अक्ष से कटाव न होने पर वास्तविक शून्यक (0) होंगे।
A. जब उसका ग्राफ (x)-अक्ष को दो अलग बिंदुओं पर काटे/When its graph cuts the (x)-axis at two distinct points
Step 1
Concept
Real zeroes of a quadratic polynomial are found from points where it meets the (x)-axis. Two distinct intersections give two real zeroes.
Step 2
Why this answer is correct
The correct answer is A. जब उसका ग्राफ (x)-अक्ष को दो अलग बिंदुओं पर काटे / When its graph cuts the (x)-axis at two distinct points. Real zeroes of a quadratic polynomial are found from points where it meets the (x)-axis. Two distinct intersections give two real zeroes.
Step 3
Exam Tip
द्विघात बहुपद के वास्तविक शून्यक (x)-अक्ष से मिलने वाले बिंदुओं से मिलते हैं। दो अलग कटाव दो वास्तविक शून्यक देते हैं।
A. जब उसका ग्राफ (x)-अक्ष को न छुए और न काटे/When its graph neither touches nor cuts the (x)-axis
Step 1
Concept
For real zeroes, the graph must meet the (x)-axis. If it does not meet the (x)-axis, there is no real zero.
Step 2
Why this answer is correct
The correct answer is A. जब उसका ग्राफ (x)-अक्ष को न छुए और न काटे / When its graph neither touches nor cuts the (x)-axis. For real zeroes, the graph must meet the (x)-axis. If it does not meet the (x)-axis, there is no real zero.
Step 3
Exam Tip
वास्तविक शून्यक के लिए ग्राफ का (x)-अक्ष से मिलना जरूरी है। यदि ग्राफ (x)-अक्ष से नहीं मिलता, तो कोई वास्तविक शून्यक नहीं होगा।
A. वास्तविक शून्यकों की संख्या/Number of real zeroes
Step 1
Concept
The number of distinct times the graph meets the (x)-axis gives the number of real zeroes. Check this first while reading a graph.
Step 2
Why this answer is correct
The correct answer is A. वास्तविक शून्यकों की संख्या / Number of real zeroes. The number of distinct times the graph meets the (x)-axis gives the number of real zeroes. Check this first while reading a graph.
Step 3
Exam Tip
ग्राफ जितनी बार (x)-अक्ष से अलग-अलग मिलता है, उतने वास्तविक शून्यक होते हैं। इसे ग्राफ पढ़ते समय सबसे पहले देखें।
To cut the (x)-axis at (x=0), the (y)-value must be (0). Hence (p(0)=0) is required.
Step 2
Why this answer is correct
The correct answer is A. जिसके लिए (p(0)=0) / One for which (p(0)=0). To cut the (x)-axis at (x=0), the (y)-value must be (0). Hence (p(0)=0) is required.
Step 3
Exam Tip
(x=0) पर (x)-अक्ष से कटने के लिए (y=0) होना चाहिए। इसलिए (p(0)=0) होना जरूरी है।
Zeroes are the (x)-values where the graph cuts or touches the (x)-axis. Hence they are linked with (x)-intercepts.
Step 2
Why this answer is correct
The correct answer is A. (x)-अवरोध / (x)-intercepts. Zeroes are the (x)-values where the graph cuts or touches the (x)-axis. Hence they are linked with (x)-intercepts.
Step 3
Exam Tip
शून्यक वही (x)-मान हैं जहाँ ग्राफ (x)-अक्ष को काटता या छूता है। इसलिए इन्हें (x)-अवरोध से जोड़ा जाता है।
Both cutting and touching count as meeting the (x)-axis. If the two points are distinct, there are two distinct real zeroes.
Step 2
Why this answer is correct
The correct answer is A. दो / Two. Both cutting and touching count as meeting the (x)-axis. If the two points are distinct, there are two distinct real zeroes.
Step 3
Exam Tip
कटना और छूना दोनों (x)-अक्ष से मिलना है। यदि दोनों बिंदु अलग हैं, तो दो अलग वास्तविक शून्यक होंगे।
Real zeroes are obtained from common points of the graph and the (x)-axis. If there is no common point, there is no real zero.
Step 2
Why this answer is correct
The correct answer is A. कोई वास्तविक शून्यक नहीं / No real zero. Real zeroes are obtained from common points of the graph and the (x)-axis. If there is no common point, there is no real zero.
Step 3
Exam Tip
वास्तविक शून्यक ग्राफ और (x)-अक्ष के साझा बिंदुओं से मिलते हैं। साझा बिंदु न हो तो वास्तविक शून्यक नहीं होगा।
Zeroes are the (x)-coordinates of the points where the graph cuts the (x)-axis. Hence the zeroes are (r) and (s).
Step 2
Why this answer is correct
The correct answer is A. (r) और (s) / (r) and (s). Zeroes are the (x)-coordinates of the points where the graph cuts the (x)-axis. Hence the zeroes are (r) and (s).
Step 3
Exam Tip
शून्यक (x)-अक्ष के कटाव बिंदुओं के (x)-निर्देशांक होते हैं। इसलिए शून्यक (r) और (s) हैं।
Practice Class 10 Mathematics Chapter 2: Polynomials chapter-wise MCQs with topic-wise questions, correct answers, explanations and timed quiz levels for exam revision. Topics include Geometrical meaning of the zeroes of a polynomial., Irrational numbers and real numbers, Operations on real numbers and the laws of exponents, Polynomials in one variable, Representing real numbers on the number line.
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Start with Easy MCQs, review explanations after every answer, then move to Medium, Hard and Expert timed quizzes for stronger exam preparation.
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Yes, this page includes topic-wise practice such as Geometrical meaning of the zeroes of a polynomial., Irrational numbers and real numbers, Operations on real numbers and the laws of exponents, Polynomials in one variable, Representing real numbers on the number line.
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