Class 9 valid powers MCQ Questions

Question 1/11 Medium Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

किस व्यंजक में \(\frac{1}{2}\) गुणांक है लेकिन वह बहुपद है?

Which expression has coefficient \(\frac{1}{2}\) but is still a polynomial?

Explanation opens after your attempt

Correct Answer

A. \(\frac{1}{2}x^3+4x-6\)

Step 1

Concept

Fractional coefficients are allowed. In \(\frac{1}{2}x^3+4x-6\), the powers of (x) are (3), (1), and (0).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{1}{2}x^3+4x-6\). Fractional coefficients are allowed. In \(\frac{1}{2}x^3+4x-6\), the powers of (x) are (3), (1), and (0).

Step 3

Exam Tip

भिन्न गुणांक मान्य होते हैं। \(\frac{1}{2}x^3+4x-6\) में (x) की घातें (3), (1) और (0) हैं।

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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Introduction to Polynomials
Topic: Definition of polynomial
Difficulty: Medium
Level: 28

Question Hindi:
किस व्यंजक में (\frac{1}{2}) गुणांक है लेकिन वह बहुपद है?

Question English:
Which expression has coefficient (\frac{1}{2}) but is still a polynomial?

Options:
A. (\frac{1}{2}x^3+4x-6)
B. (\frac{1}{2x}+4)
C. (x^{1 / 2}+4x)
D. (x^{-2}+\frac{1}{2})

Correct Answer:
A. (\frac{1}{2}x^3+4x-6)

Explanation Hindi:
भिन्न गुणांक मान्य होते हैं। (\frac{1}{2}x^3+4x-6) में (x) की घातें (3), (1) और (0) हैं।

Explanation English:
Fractional coefficients are allowed. In (\frac{1}{2}x^3+4x-6), the powers of (x) are (3), (1), and (0).

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Question 2/11 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

क्या \(\sqrt{11}x^3-5x+2\) (x) में बहुपद है?

Is \(\sqrt{11}x^3-5x+2\) a polynomial in (x)?

Explanation opens after your attempt

Correct Answer

A. हां, क्योंकि \(\sqrt{11}\) वास्तविक गुणांक हैYes, because \(\sqrt{11}\) is a real coefficient

Step 1

Concept

\(\sqrt{11}\) is only a coefficient and the powers of (x) are (3), (1), and (0). Therefore it is a polynomial.

Step 2

Why this answer is correct

The correct answer is A. हां, क्योंकि \(\sqrt{11}\) वास्तविक गुणांक है / Yes, because \(\sqrt{11}\) is a real coefficient. \(\sqrt{11}\) is only a coefficient and the powers of (x) are (3), (1), and (0). Therefore it is a polynomial.

Step 3

Exam Tip

\(\sqrt{11}\) केवल गुणांक है और (x) की घातें (3), (1), और (0) हैं। इसलिए यह बहुपद है।

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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Introduction to Polynomials
Topic: Definition of polynomial
Difficulty: Easy
Level: 31

Question Hindi:
क्या (\sqrt{11}x^3-5x+2) (x) में बहुपद है?

Question English:
Is (\sqrt{11}x^3-5x+2) a polynomial in (x)?

Options:
A. हां, क्योंकि (\sqrt{11}) वास्तविक गुणांक है / Yes, because (\sqrt{11}) is a real coefficient
B. नहीं, क्योंकि इसमें वर्गमूल है / No, because it has a square root
C. नहीं, क्योंकि इसमें (x^3) है / No, because it has (x^3)
D. नहीं, क्योंकि इसमें तीन पद हैं / No, because it has three terms

Correct Answer:
A. हां, क्योंकि (\sqrt{11}) वास्तविक गुणांक है / Yes, because (\sqrt{11}) is a real coefficient

Explanation Hindi:
(\sqrt{11}) केवल गुणांक है और (x) की घातें (3), (1), और (0) हैं। इसलिए यह बहुपद है।

Explanation English:
(\sqrt{11}) is only a coefficient and the powers of (x) are (3), (1), and (0). Therefore it is a polynomial.

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Question 3/11 Hard Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 27

किस विकल्प में सभी गुणांक वास्तविक हैं और (x) की घातें मान्य हैं?

In which option are all coefficients real and powers of (x) valid?

Explanation opens after your attempt

Correct Answer

A. \(2x^3-\pi x^2+\sqrt{13}\)

Step 1

Concept

\(\pi\) and \(\sqrt{13}\) are real coefficients. The powers of (x) are (3), (2), and (0).

Step 2

Why this answer is correct

The correct answer is A. \(2x^3-\pi x^2+\sqrt{13}\). \(\pi\) and \(\sqrt{13}\) are real coefficients. The powers of (x) are (3), (2), and (0).

Step 3

Exam Tip

\(\pi\) और \(\sqrt{13}\) वास्तविक गुणांक हैं। (x) की घातें (3), (2), और (0) हैं।

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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Introduction to Polynomials
Topic: Definition of polynomial
Difficulty: Hard
Level: 27

Question Hindi:
किस विकल्प में सभी गुणांक वास्तविक हैं और (x) की घातें मान्य हैं?

Question English:
In which option are all coefficients real and powers of (x) valid?

Options:
A. (2x^3-\pi x^2+\sqrt{13})
B. (x^{-\sqrt{2}}+1)
C. (\sqrt{x}+5)
D. (\frac{2}{x}+x)

Correct Answer:
A. (2x^3-\pi x^2+\sqrt{13})

Explanation Hindi:
(\pi) और (\sqrt{13}) वास्तविक गुणांक हैं। (x) की घातें (3), (2), और (0) हैं।

Explanation English:
(\pi) and (\sqrt{13}) are real coefficients. The powers of (x) are (3), (2), and (0).

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
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Question 4/11 Hard Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 26

किस विकल्प में सभी गुणांक वास्तविक हैं और चर की घातें मान्य हैं?

In which option are all coefficients real and variable powers valid?

Explanation opens after your attempt

Correct Answer

A. \(2x^2-\pi x+\sqrt{11}\)

Step 1

Concept

\(\pi\) and \(\sqrt{11}\) are real coefficients. The powers of (x) are (2), (1), and (0).

Step 2

Why this answer is correct

The correct answer is A. \(2x^2-\pi x+\sqrt{11}\). \(\pi\) and \(\sqrt{11}\) are real coefficients. The powers of (x) are (2), (1), and (0).

Step 3

Exam Tip

\(\pi\) और \(\sqrt{11}\) वास्तविक गुणांक हैं। (x) की घातें (2), (1) और (0) हैं।

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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Introduction to Polynomials
Topic: Definition of polynomial
Difficulty: Hard
Level: 26

Question Hindi:
किस विकल्प में सभी गुणांक वास्तविक हैं और चर की घातें मान्य हैं?

Question English:
In which option are all coefficients real and variable powers valid?

Options:
A. (2x^2-\pi x+\sqrt{11})
B. (x^{-\pi}+1)
C. (\sqrt{x}+2)
D. (\frac{1}{x}+3)

Correct Answer:
A. (2x^2-\pi x+\sqrt{11})

Explanation Hindi:
(\pi) और (\sqrt{11}) वास्तविक गुणांक हैं। (x) की घातें (2), (1) और (0) हैं।

Explanation English:
(\pi) and (\sqrt{11}) are real coefficients. The powers of (x) are (2), (1), and (0).

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Question 5/11 Hard Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 26

कौन सा व्यंजक (x) में बहुपद है और उसकी डिग्री (3) है?

Which expression is a polynomial in (x) and has degree (3)?

Explanation opens after your attempt

Correct Answer

C. \(-4x^3+\sqrt{5}x+8\)

Step 1

Concept

The third expression is a polynomial because the powers are (3), (1), and (0). The highest power is (3).

Step 2

Why this answer is correct

The correct answer is C. \(-4x^3+\sqrt{5}x+8\). The third expression is a polynomial because the powers are (3), (1), and (0). The highest power is (3).

Step 3

Exam Tip

तीसरा व्यंजक बहुपद है क्योंकि घातें (3), (1) और (0) हैं। सबसे बड़ी घात (3) है।

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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Introduction to Polynomials
Topic: Definition of polynomial
Difficulty: Hard
Level: 26

Question Hindi:
कौन सा व्यंजक (x) में बहुपद है और उसकी डिग्री (3) है?

Question English:
Which expression is a polynomial in (x) and has degree (3)?

Options:
A. (2x^3+\frac{1}{x})
B. (5x^2+7x-1)
C. (-4x^3+\sqrt{5}x+8)
D. (x^{\frac{3}{2}}+1)

Correct Answer:
C. (-4x^3+\sqrt{5}x+8)

Explanation Hindi:
तीसरा व्यंजक बहुपद है क्योंकि घातें (3), (1) और (0) हैं। सबसे बड़ी घात (3) है।

Explanation English:
The third expression is a polynomial because the powers are (3), (1), and (0). The highest power is (3).

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Question 6/11 Medium Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 27

कौन-सा विकल्प बहुपद की परिभाषा के अनुसार सही उदाहरण देता है?

Which option gives a correct example according to the definition of polynomial?

Explanation opens after your attempt

Correct Answer

A. \(x^2+4x+4\) क्योंकि घातें (2), (1), (0) हैं\(x^2+4x+4\) because powers are (2), (1), (0)

Step 1

Concept

In \(x^2+4x+4\), all powers are non-negative integers. So it is a correct polynomial example.

Step 2

Why this answer is correct

The correct answer is A. \(x^2+4x+4\) क्योंकि घातें (2), (1), (0) हैं / \(x^2+4x+4\) because powers are (2), (1), (0). In \(x^2+4x+4\), all powers are non-negative integers. So it is a correct polynomial example.

Step 3

Exam Tip

\(x^2+4x+4\) में सभी घातें शून्य या धनात्मक पूर्णांक हैं। इसलिए यह सही बहुपद उदाहरण है।

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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Introduction to Polynomials
Topic: Definition of polynomial
Difficulty: Medium
Level: 27

Question Hindi:
कौन-सा विकल्प बहुपद की परिभाषा के अनुसार सही उदाहरण देता है?

Question English:
Which option gives a correct example according to the definition of polynomial?

Options:
A. (x^2+4x+4) क्योंकि घातें (2), (1), (0) हैं / (x^2+4x+4) because powers are (2), (1), (0)
B. (x^{-2}+4) क्योंकि घात (-2) है / (x^{-2}+4) because power is (-2)
C. (\sqrt{x}+4) क्योंकि मूल है / (\sqrt{x}+4) because it has a root
D. (\frac{1}{x}+4) क्योंकि हर है / (\frac{1}{x}+4) because it has denominator

Correct Answer:
A. (x^2+4x+4) क्योंकि घातें (2), (1), (0) हैं / (x^2+4x+4) because powers are (2), (1), (0)

Explanation Hindi:
(x^2+4x+4) में सभी घातें शून्य या धनात्मक पूर्णांक हैं। इसलिए यह सही बहुपद उदाहरण है।

Explanation English:
In (x^2+4x+4), all powers are non-negative integers. So it is a correct polynomial example.

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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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Question 7/11 Medium Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 27

कौन-सा व्यंजक (m) में बहुपद है?

Which expression is a polynomial in (m)?

Explanation opens after your attempt

Correct Answer

C. \(2m^5-3m+1\)

Step 1

Concept

In \(2m^5-3m+1\), the powers of (m) are (5), (1), and (0). All are valid.

Step 2

Why this answer is correct

The correct answer is C. \(2m^5-3m+1\). In \(2m^5-3m+1\), the powers of (m) are (5), (1), and (0). All are valid.

Step 3

Exam Tip

\(2m^5-3m+1\) में (m) की घातें (5), (1) और (0) हैं। ये सभी मान्य हैं।

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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Introduction to Polynomials
Topic: Definition of polynomial
Difficulty: Medium
Level: 27

Question Hindi:
कौन-सा व्यंजक (m) में बहुपद है?

Question English:
Which expression is a polynomial in (m)?

Options:
A. (m^2+\frac{1}{m})
B. (m^{-2}+7)
C. (2m^5-3m+1)
D. (\sqrt{m}+4)

Correct Answer:
C. (2m^5-3m+1)

Explanation Hindi:
(2m^5-3m+1) में (m) की घातें (5), (1) और (0) हैं। ये सभी मान्य हैं।

Explanation English:
In (2m^5-3m+1), the powers of (m) are (5), (1), and (0). All are valid.

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Question 8/11 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

कौन सा व्यंजक (x) में बहुपद है?

Which expression is a polynomial in (x)?

Explanation opens after your attempt

Correct Answer

C. \(3x^4+\frac{x}{5}-6\)

Step 1

Concept

In \(3x^4+\frac{x}{5}-6\), the powers of (x) are (4), (1), and (0). A fractional coefficient is valid.

Step 2

Why this answer is correct

The correct answer is C. \(3x^4+\frac{x}{5}-6\). In \(3x^4+\frac{x}{5}-6\), the powers of (x) are (4), (1), and (0). A fractional coefficient is valid.

Step 3

Exam Tip

\(3x^4+\frac{x}{5}-6\) में (x) की घातें (4), (1), और (0) हैं। भिन्न गुणांक मान्य होता है।

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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Introduction to Polynomials
Topic: Definition of polynomial
Difficulty: Easy
Level: 30

Question Hindi:
कौन सा व्यंजक (x) में बहुपद है?

Question English:
Which expression is a polynomial in (x)?

Options:
A. (\frac{1}{x^2}+4)
B. (x^{-\frac{1}{2}}+2)
C. (3x^4+\frac{x}{5}-6)
D. (\sqrt{x^3}+1)

Correct Answer:
C. (3x^4+\frac{x}{5}-6)

Explanation Hindi:
(3x^4+\frac{x}{5}-6) में (x) की घातें (4), (1), और (0) हैं। भिन्न गुणांक मान्य होता है।

Explanation English:
In (3x^4+\frac{x}{5}-6), the powers of (x) are (4), (1), and (0). A fractional coefficient is valid.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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Question 9/11 Medium Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 26

कौन-सा विकल्प बहुपद की सही उदाहरण-व्याख्या देता है?

Which option gives a correct example-explanation of a polynomial?

Explanation opens after your attempt

Correct Answer

A. \(x^2+1\) क्योंकि घातें (2) और (0) हैं\(x^2+1\) because powers are (2) and (0)

Step 1

Concept

In \(x^2+1\), the powers are (2) and (0), which are valid. The other options contain invalid powers.

Step 2

Why this answer is correct

The correct answer is A. \(x^2+1\) क्योंकि घातें (2) और (0) हैं / \(x^2+1\) because powers are (2) and (0). In \(x^2+1\), the powers are (2) and (0), which are valid. The other options contain invalid powers.

Step 3

Exam Tip

\(x^2+1\) में घातें (2) और (0) हैं जो मान्य हैं। बाकी विकल्पों में अमान्य घातें हैं।

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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Introduction to Polynomials
Topic: Definition of polynomial
Difficulty: Medium
Level: 26

Question Hindi:
कौन-सा विकल्प बहुपद की सही उदाहरण-व्याख्या देता है?

Question English:
Which option gives a correct example-explanation of a polynomial?

Options:
A. (x^2+1) क्योंकि घातें (2) और (0) हैं / (x^2+1) because powers are (2) and (0)
B. (x^{-2}+1) क्योंकि घात (-2) है / (x^{-2}+1) because power is (-2)
C. (\sqrt{x}+1) क्योंकि मूल चिन्ह है / (\sqrt{x}+1) because there is a radical sign
D. (\frac{1}{x}+1) क्योंकि हर में (x) है / (\frac{1}{x}+1) because (x) is in denominator

Correct Answer:
A. (x^2+1) क्योंकि घातें (2) और (0) हैं / (x^2+1) because powers are (2) and (0)

Explanation Hindi:
(x^2+1) में घातें (2) और (0) हैं जो मान्य हैं। बाकी विकल्पों में अमान्य घातें हैं।

Explanation English:
In (x^2+1), the powers are (2) and (0), which are valid. The other options contain invalid powers.

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1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
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Question 10/11 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

किस विकल्प में (x) की सभी घातें बहुपद के लिए मान्य हैं?

In which option are all powers of (x) valid for a polynomial?

Explanation opens after your attempt

Correct Answer

C. \(x^6+x^3+x^0\)

Step 1

Concept

(6), (3), and (0) are all non-negative integers. Therefore these powers are valid for a polynomial.

Step 2

Why this answer is correct

The correct answer is C. \(x^6+x^3+x^0\). (6), (3), and (0) are all non-negative integers. Therefore these powers are valid for a polynomial.

Step 3

Exam Tip

(6), (3), और (0) सभी अशून्य या शून्य पूर्णांक हैं। इसलिए ये घातें बहुपद के लिए मान्य हैं।

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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Introduction to Polynomials
Topic: Definition of polynomial
Difficulty: Easy
Level: 29

Question Hindi:
किस विकल्प में (x) की सभी घातें बहुपद के लिए मान्य हैं?

Question English:
In which option are all powers of (x) valid for a polynomial?

Options:
A. (x^{-3}+2x)
B. (x^{\frac{1}{4}}+x)
C. (x^6+x^3+x^0)
D. (\frac{1}{x}+x^2)

Correct Answer:
C. (x^6+x^3+x^0)

Explanation Hindi:
(6), (3), और (0) सभी अशून्य या शून्य पूर्णांक हैं। इसलिए ये घातें बहुपद के लिए मान्य हैं।

Explanation English:
(6), (3), and (0) are all non-negative integers. Therefore these powers are valid for a polynomial.

Video Structure:
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2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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Question 11/11 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

किस विकल्प में बहुपद के सभी पदों में चर की घात मान्य है?

In which option do all terms have valid powers of the variable for a polynomial?

Explanation opens after your attempt

Correct Answer

A. \(x^2+x+1\)

Step 1

Concept

In \(x^2+x+1\), the powers are (2), (1), and (0). These are valid powers for a polynomial.

Step 2

Why this answer is correct

The correct answer is A. \(x^2+x+1\). In \(x^2+x+1\), the powers are (2), (1), and (0). These are valid powers for a polynomial.

Step 3

Exam Tip

\(x^2+x+1\) में घातें (2), (1), और (0) हैं। ये बहुपद के लिए मान्य घातें हैं।

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MCQ Data:
Class: Class 9
Subject: Mathematics
Chapter: Introduction to Polynomials
Topic: Definition of polynomial
Difficulty: Easy
Level: 28

Question Hindi:
किस विकल्प में बहुपद के सभी पदों में चर की घात मान्य है?

Question English:
In which option do all terms have valid powers of the variable for a polynomial?

Options:
A. (x^2+x+1)
B. (x^{-1}+x)
C. (\sqrt{x}+x)
D. (\frac{1}{x^2}+1)

Correct Answer:
A. (x^2+x+1)

Explanation Hindi:
(x^2+x+1) में घातें (2), (1), और (0) हैं। ये बहुपद के लिए मान्य घातें हैं।

Explanation English:
In (x^2+x+1), the powers are (2), (1), and (0). These are valid powers for a polynomial.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

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valid_powers MCQ Questions for Class 9

Practice Questions

किस व्यंजक में \(\frac{1}{2}\) गुणांक है लेकिन वह बहुपद है?

Concept

Why this answer is correct

Exam Tip

क्या \(\sqrt{11}x^3-5x+2\) (x) में बहुपद है?

Concept

Why this answer is correct

Exam Tip

किस विकल्प में सभी गुणांक वास्तविक हैं और (x) की घातें मान्य हैं?

Concept

Why this answer is correct

Exam Tip

किस विकल्प में सभी गुणांक वास्तविक हैं और चर की घातें मान्य हैं?

Concept

Why this answer is correct

Exam Tip

कौन सा व्यंजक (x) में बहुपद है और उसकी डिग्री (3) है?

Concept

Why this answer is correct

Exam Tip

कौन-सा विकल्प बहुपद की परिभाषा के अनुसार सही उदाहरण देता है?

Concept

Why this answer is correct

Exam Tip

कौन-सा व्यंजक (m) में बहुपद है?

Concept

Why this answer is correct

Exam Tip

कौन सा व्यंजक (x) में बहुपद है?

Concept

Why this answer is correct

Exam Tip

कौन-सा विकल्प बहुपद की सही उदाहरण-व्याख्या देता है?

Concept

Why this answer is correct

Exam Tip

किस विकल्प में (x) की सभी घातें बहुपद के लिए मान्य हैं?

Concept

Why this answer is correct

Exam Tip

किस विकल्प में बहुपद के सभी पदों में चर की घात मान्य है?

Concept

Why this answer is correct

Exam Tip

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