Class 9 Mathematics Medium Quiz

Mathematics Medium Class 9 Level 29

Level 29 • 50/50 questions • 35 seconds per question.

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Question 1/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

बहुपद \(3x^4-5x^2+7x-1\) की डिग्री क्या है?

What is the degree of the polynomial \(3x^4-5x^2+7x-1\)?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

The highest power is (4). To find the degree, look at the term with the highest power.

Step 2

Why this answer is correct

The correct answer is C. (4). The highest power is (4). To find the degree, look at the term with the highest power.

Step 3

Exam Tip

सबसे बड़ी घात (4) है। डिग्री निकालते समय सबसे बड़ी घात वाला पद देखें।

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Question 2/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

बहुपद \(8x^5+0x^7-2x^3+6\) की डिग्री क्या है?

What is the degree of \(8x^5+0x^7-2x^3+6\)?

Explanation opens after your attempt
Correct Answer

B. (5)

Step 1

Concept

\(0x^7\) is a zero term, so it is not counted. The highest non-zero power is (5).

Step 2

Why this answer is correct

The correct answer is B. (5). \(0x^7\) is a zero term, so it is not counted. The highest non-zero power is (5).

Step 3

Exam Tip

\(0x^7\) शून्य पद है इसलिए उसे नहीं गिनते। सबसे बड़ी अशून्य घात (5) है।

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Question 3/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

सरल करने के बाद \(4x^3-4x^3+9x^2-5\) की डिग्री क्या होगी?

After simplifying \(4x^3-4x^3+9x^2-5\), what will be the degree?

Explanation opens after your attempt
Correct Answer

B. (2)

Step 1

Concept

Since \(4x^3-4x^3=0\), \(9x^2-5\) remains. Its degree is (2).

Step 2

Why this answer is correct

The correct answer is B. (2). Since \(4x^3-4x^3=0\), \(9x^2-5\) remains. Its degree is (2).

Step 3

Exam Tip

\(4x^3-4x^3=0\) होने से \(9x^2-5\) बचता है। इसकी डिग्री (2) है।

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Question 4/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

यदि (p(x)=(a-3)x-6+2x-2-1) और (a=3), तो (p(x)) की डिग्री क्या है?

If (p(x)=(a-3)x-6+2x-2-1) and (a=3), what is the degree of (p(x))?

Explanation opens after your attempt
Correct Answer

C. (2)

Step 1

Concept

Putting (a=3) makes the coefficient of \(x^6\) equal to (0). The remaining highest power is (2).

Step 2

Why this answer is correct

The correct answer is C. (2). Putting (a=3) makes the coefficient of \(x^6\) equal to (0). The remaining highest power is (2).

Step 3

Exam Tip

(a=3) रखने पर \(x^6\) का गुणांक (0) हो जाता है। बची हुई सबसे बड़ी घात (2) है।

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Question 5/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

किस मान पर ((k+5)x-4-7x+9) की डिग्री (1) होगी?

For which value will the degree of ((k+5)x-4-7x+9) be (1)?

Explanation opens after your attempt
Correct Answer

B. (k=-5)

Step 1

Concept

For degree (1), the coefficient of \(x^4\) must be (0). From (k+5=0), we get (k=-5).

Step 2

Why this answer is correct

The correct answer is B. (k=-5). For degree (1), the coefficient of \(x^4\) must be (0). From (k+5=0), we get (k=-5).

Step 3

Exam Tip

डिग्री (1) के लिए \(x^4\) का गुणांक (0) होना चाहिए। (k+5=0) से (k=-5) मिलता है।

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Question 6/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

बहुपद \(-2x^8+5x^6-x^2+4\) की डिग्री किस पद से तय होती है?

The degree of \(-2x^8+5x^6-x^2+4\) is decided by which term?

Explanation opens after your attempt
Correct Answer

A. \(-2x^8\)

Step 1

Concept

The degree is decided by the term with highest power (8). A negative coefficient does not change the degree.

Step 2

Why this answer is correct

The correct answer is A. \(-2x^8\). The degree is decided by the term with highest power (8). A negative coefficient does not change the degree.

Step 3

Exam Tip

सबसे बड़ी घात (8) वाले पद से डिग्री तय होती है। ऋणात्मक गुणांक डिग्री को नहीं बदलता।

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Question 7/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

बहुपद \(2x^2+x^9-6x^5+1\) की डिग्री क्या है?

What is the degree of \(2x^2+x^9-6x^5+1\)?

Explanation opens after your attempt
Correct Answer

D. (9)

Step 1

Concept

The terms are not in descending order, but the highest power is (9). Therefore the degree is (9).

Step 2

Why this answer is correct

The correct answer is D. (9). The terms are not in descending order, but the highest power is (9). Therefore the degree is (9).

Step 3

Exam Tip

पद घटते क्रम में नहीं हैं पर सबसे बड़ी घात (9) है। इसलिए डिग्री (9) है।

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Question 8/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

यदि (q(x)=0x-5+0x-3+11x-4), तो (q(x)) की डिग्री क्या है?

If (q(x)=0x-5+0x-3+11x-4), what is the degree of (q(x))?

Explanation opens after your attempt
Correct Answer

C. (1)

Step 1

Concept

Terms with zero coefficients disappear. The highest power of (11x-4) is (1).

Step 2

Why this answer is correct

The correct answer is C. (1). Terms with zero coefficients disappear. The highest power of (11x-4) is (1).

Step 3

Exam Tip

शून्य गुणांक वाले पद हट जाते हैं। (11x-4) की सबसे बड़ी घात (1) है।

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Question 9/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

बहुपद \(x^0+6x^4-3x^2\) की डिग्री क्या है?

What is the degree of \(x^0+6x^4-3x^2\)?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

\(x^0=1\), and the highest power is (4). Therefore the degree is (4).

Step 2

Why this answer is correct

The correct answer is C. (4). \(x^0=1\), and the highest power is (4). Therefore the degree is (4).

Step 3

Exam Tip

\(x^0=1\) होता है और सबसे बड़ी घात (4) है। इसलिए डिग्री (4) है।

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Question 10/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

बहुपद (15) की डिग्री क्या है?

What is the degree of the polynomial (15)?

Explanation opens after your attempt
Correct Answer

C. (0)

Step 1

Concept

(15) is a non-zero constant polynomial. The degree of a non-zero constant polynomial is (0).

Step 2

Why this answer is correct

The correct answer is C. (0). (15) is a non-zero constant polynomial. The degree of a non-zero constant polynomial is (0).

Step 3

Exam Tip

(15) अशून्य नियतांक बहुपद है। अशून्य नियतांक बहुपद की डिग्री (0) होती है।

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Question 11/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

शून्य बहुपद (0) की डिग्री क्या मानी जाती है?

What is considered the degree of the zero polynomial (0)?

Explanation opens after your attempt
Correct Answer

C. परिभाषित नहींNot defined

Step 1

Concept

The degree of the zero polynomial is not defined. Keep it separate from a non-zero constant polynomial.

Step 2

Why this answer is correct

The correct answer is C. परिभाषित नहीं / Not defined. The degree of the zero polynomial is not defined. Keep it separate from a non-zero constant polynomial.

Step 3

Exam Tip

शून्य बहुपद की डिग्री परिभाषित नहीं होती। इसे अशून्य नियतांक बहुपद से अलग रखें।

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Question 12/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

सरल करने के बाद \(3x^5+2x^5-4x^2+8\) की डिग्री क्या है?

After simplifying \(3x^5+2x^5-4x^2+8\), what is the degree?

Explanation opens after your attempt
Correct Answer

C. (5)

Step 1

Concept

The simplified form is \(5x^5-4x^2+8\). Its highest power is (5).

Step 2

Why this answer is correct

The correct answer is C. (5). The simplified form is \(5x^5-4x^2+8\). Its highest power is (5).

Step 3

Exam Tip

सरल रूप \(5x^5-4x^2+8\) है। इसमें सबसे बड़ी घात (5) है।

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Question 13/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

यदि \(r\neq0\), तो \(rx^7+3x^2-10\) की डिग्री क्या होगी?

If \(r\neq0\), what will be the degree of \(rx^7+3x^2-10\)?

Explanation opens after your attempt
Correct Answer

C. (7)

Step 1

Concept

Since \(r\neq0\), the \(x^7\) term remains present. Therefore the highest power is (7).

Step 2

Why this answer is correct

The correct answer is C. (7). Since \(r\neq0\), the \(x^7\) term remains present. Therefore the highest power is (7).

Step 3

Exam Tip

\(r\neq0\) होने से \(x^7\) पद मौजूद रहेगा। इसलिए सबसे बड़ी घात (7) है।

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Question 14/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

यदि (r=0), तो \(rx^7+3x^2-10\) की डिग्री क्या होगी?

If (r=0), what will be the degree of \(rx^7+3x^2-10\)?

Explanation opens after your attempt
Correct Answer

C. (2)

Step 1

Concept

When (r=0), the \(x^7\) term disappears. The remaining highest power is (2).

Step 2

Why this answer is correct

The correct answer is C. (2). When (r=0), the \(x^7\) term disappears. The remaining highest power is (2).

Step 3

Exam Tip

(r=0) होने पर \(x^7\) पद हट जाता है। बची हुई सबसे बड़ी घात (2) है।

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Question 15/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

बहुपद \(4y^5-3y^2+8\) की डिग्री क्या है?

What is the degree of the polynomial \(4y^5-3y^2+8\)?

Explanation opens after your attempt
Correct Answer

C. (5)

Step 1

Concept

The highest power of the variable (y) is (5). Therefore the degree of the polynomial is (5).

Step 2

Why this answer is correct

The correct answer is C. (5). The highest power of the variable (y) is (5). Therefore the degree of the polynomial is (5).

Step 3

Exam Tip

चर (y) की सबसे बड़ी घात (5) है। इसलिए बहुपद की डिग्री (5) है।

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Question 16/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

(x) के संदर्भ में \(5y^2-3y+1\) की डिग्री क्या है?

With respect to (x), what is the degree of \(5y^2-3y+1\)?

Explanation opens after your attempt
Correct Answer

C. (0)

Step 1

Concept

With respect to (x), it behaves like a non-zero constant. Therefore its degree is (0).

Step 2

Why this answer is correct

The correct answer is C. (0). With respect to (x), it behaves like a non-zero constant. Therefore its degree is (0).

Step 3

Exam Tip

(x) के संदर्भ में यह अशून्य नियतांक जैसा है। इसलिए इसकी डिग्री (0) है।

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Question 17/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

यदि (p(x)=\(m^2-4\)x-5+6x-3+1) की डिग्री (3) है, तो (m) का संभावित मान कौन सा है?

If the degree of (p(x)=\(m^2-4\)x-5+6x-3+1) is (3), which can be a possible value of (m)?

Explanation opens after your attempt
Correct Answer

B. (m=2)

Step 1

Concept

For degree (3), the coefficient of \(x^5\) must be (0). From \(m^2-4=0\), \(m=\pm2\).

Step 2

Why this answer is correct

The correct answer is B. (m=2). For degree (3), the coefficient of \(x^5\) must be (0). From \(m^2-4=0\), \(m=\pm2\).

Step 3

Exam Tip

डिग्री (3) के लिए \(x^5\) का गुणांक (0) होना चाहिए। \(m^2-4=0\) से \(m=\pm2\) मिलता है।

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Question 18/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

बहुपद (2x-4\(3x^2-1\)) को फैलाने पर डिग्री क्या होगी?

What will be the degree after expanding (2x-4\(3x^2-1\))?

Explanation opens after your attempt
Correct Answer

C. (6)

Step 1

Concept

On expanding, we get \(6x^6-2x^4\). The highest power is (6).

Step 2

Why this answer is correct

The correct answer is C. (6). On expanding, we get \(6x^6-2x^4\). The highest power is (6).

Step 3

Exam Tip

फैलाने पर \(6x^6-2x^4\) मिलता है। सबसे बड़ी घात (6) है।

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Question 19/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

सरल करने के बाद (x-2\(x^3+1\)-x-5+4x) की डिग्री क्या है?

After simplifying (x-2\(x^3+1\)-x-5+4x), what is the degree?

Explanation opens after your attempt
Correct Answer

C. (2)

Step 1

Concept

(x-2\(x^3+1\)=x-5+x-2), and \(x^5\) cancels. The remaining \(x^2+4x\) has degree (2).

Step 2

Why this answer is correct

The correct answer is C. (2). (x-2\(x^3+1\)=x-5+x-2), and \(x^5\) cancels. The remaining \(x^2+4x\) has degree (2).

Step 3

Exam Tip

(x-2\(x^3+1\)=x-5+x-2) और \(x^5\) कट जाता है। बचा \(x^2+4x\) है जिसकी डिग्री (2) है।

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Question 20/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

बहुपद (\(x^2+1\)\(x^3-2\)) की डिग्री क्या है?

What is the degree of the polynomial (\(x^2+1\)\(x^3-2\))?

Explanation opens after your attempt
Correct Answer

C. (5)

Step 1

Concept

In multiplication, the highest power comes from \(x^2\cdot x^3=x^5\). Therefore the degree is (5).

Step 2

Why this answer is correct

The correct answer is C. (5). In multiplication, the highest power comes from \(x^2\cdot x^3=x^5\). Therefore the degree is (5).

Step 3

Exam Tip

गुणन में सबसे बड़ी घात \(x^2\cdot x^3=x^5\) से आती है। इसलिए डिग्री (5) है।

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Question 21/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

बहुपद ((x-1)(x+1)) की डिग्री क्या है?

What is the degree of the polynomial ((x-1)(x+1))?

Explanation opens after your attempt
Correct Answer

B. (2)

Step 1

Concept

The product is \(x^2-1\). Its highest power is (2).

Step 2

Why this answer is correct

The correct answer is B. (2). The product is \(x^2-1\). Its highest power is (2).

Step 3

Exam Tip

गुणनफल \(x^2-1\) है। इसमें सबसे बड़ी घात (2) है।

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Question 22/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

यदि बहुपद की डिग्री (0) है, तो वह किस प्रकार का अशून्य बहुपद हो सकता है?

If a polynomial has degree (0), what type of non-zero polynomial can it be?

Explanation opens after your attempt
Correct Answer

C. नियतांक बहुपदConstant polynomial

Step 1

Concept

A non-zero polynomial of degree (0) is constant. The degree of the zero polynomial is not defined.

Step 2

Why this answer is correct

The correct answer is C. नियतांक बहुपद / Constant polynomial. A non-zero polynomial of degree (0) is constant. The degree of the zero polynomial is not defined.

Step 3

Exam Tip

डिग्री (0) वाला अशून्य बहुपद नियतांक होता है। शून्य बहुपद की डिग्री परिभाषित नहीं होती।

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Question 23/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

यदि (f(x)=x-4-2x-4+x-4+3x-5), तो (f(x)) की डिग्री क्या है?

If (f(x)=x-4-2x-4+x-4+3x-5), what is the degree of (f(x))?

Explanation opens after your attempt
Correct Answer

C. (1)

Step 1

Concept

\(x^4-2x^4+x^4=0\). The remaining (3x-5) has degree (1).

Step 2

Why this answer is correct

The correct answer is C. (1). \(x^4-2x^4+x^4=0\). The remaining (3x-5) has degree (1).

Step 3

Exam Tip

\(x^4-2x^4+x^4=0\) हो जाता है। बचा हुआ (3x-5) डिग्री (1) का है।

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Question 24/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

बहुपद \(2x^3y^2+5xy-7\) की कुल डिग्री क्या है?

What is the total degree of the polynomial \(2x^3y^2+5xy-7\)?

Explanation opens after your attempt
Correct Answer

C. (5)

Step 1

Concept

The total power of the term \(2x^3y^2\) is (3+2=5). This is the highest total power.

Step 2

Why this answer is correct

The correct answer is C. (5). The total power of the term \(2x^3y^2\) is (3+2=5). This is the highest total power.

Step 3

Exam Tip

पद \(2x^3y^2\) की कुल घात (3+2=5) है। यही सबसे बड़ी कुल घात है।

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Question 25/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

बहुपद \(4x^2y^3-3xy^2+9\) की कुल डिग्री क्या है?

What is the total degree of \(4x^2y^3-3xy^2+9\)?

Explanation opens after your attempt
Correct Answer

B. (5)

Step 1

Concept

The total power of the first term is (2+3=5). Therefore the total degree of the polynomial is (5).

Step 2

Why this answer is correct

The correct answer is B. (5). The total power of the first term is (2+3=5). Therefore the total degree of the polynomial is (5).

Step 3

Exam Tip

पहले पद की कुल घात (2+3=5) है। इसलिए बहुपद की कुल डिग्री (5) है।

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Question 26/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

(x) के संदर्भ में \(3x^2y^4+7xy-1\) की डिग्री क्या है?

With respect to (x), what is the degree of \(3x^2y^4+7xy-1\)?

Explanation opens after your attempt
Correct Answer

B. (2)

Step 1

Concept

With respect to (x), (y) is treated like a coefficient. The highest power of (x) is (2).

Step 2

Why this answer is correct

The correct answer is B. (2). With respect to (x), (y) is treated like a coefficient. The highest power of (x) is (2).

Step 3

Exam Tip

(x) के संदर्भ में (y) को गुणांक जैसा माना जाता है। (x) की सबसे बड़ी घात (2) है।

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Question 27/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

(y) के संदर्भ में \(3x^2y^4+7xy-1\) की डिग्री क्या है?

With respect to (y), what is the degree of \(3x^2y^4+7xy-1\)?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

The highest power of (y) is (4). Therefore the degree with respect to (y) is (4).

Step 2

Why this answer is correct

The correct answer is C. (4). The highest power of (y) is (4). Therefore the degree with respect to (y) is (4).

Step 3

Exam Tip

(y) की सबसे बड़ी घात (4) है। इसलिए (y) के संदर्भ में डिग्री (4) है।

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Question 28/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

बहुपद \(0x^8+0x^4+5\) की डिग्री क्या है?

What is the degree of \(0x^8+0x^4+5\)?

Explanation opens after your attempt
Correct Answer

C. (0)

Step 1

Concept

Terms with zero coefficients disappear and (5) remains. (5) is a non-zero constant polynomial of degree (0).

Step 2

Why this answer is correct

The correct answer is C. (0). Terms with zero coefficients disappear and (5) remains. (5) is a non-zero constant polynomial of degree (0).

Step 3

Exam Tip

शून्य गुणांक वाले पद हट जाते हैं और (5) बचता है। (5) अशून्य नियतांक बहुपद है जिसकी डिग्री (0) है।

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Question 29/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

यदि ((t-1)x-3+(t+2)x-2+4) की डिग्री (2) है, तो (t) का सही मान कौन सा हो सकता है?

If the degree of ((t-1)x-3+(t+2)x-2+4) is (2), which value of (t) can be correct?

Explanation opens after your attempt
Correct Answer

A. (t=1)

Step 1

Concept

For degree (2), the \(x^3\) term must vanish and the \(x^2\) term must remain. At (t=1), both conditions hold.

Step 2

Why this answer is correct

The correct answer is A. (t=1). For degree (2), the \(x^3\) term must vanish and the \(x^2\) term must remain. At (t=1), both conditions hold.

Step 3

Exam Tip

डिग्री (2) के लिए \(x^3\) पद हटना चाहिए और \(x^2\) पद बचना चाहिए। (t=1) पर दोनों शर्तें पूरी होती हैं।

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Question 30/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

यदि (u=-2), तो ((u+2)x-5+\(u^2-1\)x-4+x) की डिग्री क्या है?

If (u=-2), what is the degree of ((u+2)x-5+\(u^2-1\)x-4+x)?

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

At (u=-2), the coefficient of \(x^5\) is (0) and the coefficient of \(x^4\) is (3). Therefore the degree is (4).

Step 2

Why this answer is correct

The correct answer is B. (4). At (u=-2), the coefficient of \(x^5\) is (0) and the coefficient of \(x^4\) is (3). Therefore the degree is (4).

Step 3

Exam Tip

(u=-2) पर \(x^5\) का गुणांक (0) और \(x^4\) का गुणांक (3) होता है। इसलिए डिग्री (4) है।

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Question 31/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

बहुपद (\(2x^2-1\)\(x^2+3\)) की डिग्री क्या है?

What is the degree of the polynomial (\(2x^2-1\)\(x^2+3\))?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

The highest power comes from \(2x^2\cdot x^2=2x^4\). Therefore the degree is (4).

Step 2

Why this answer is correct

The correct answer is C. (4). The highest power comes from \(2x^2\cdot x^2=2x^4\). Therefore the degree is (4).

Step 3

Exam Tip

सबसे बड़ी घात \(2x^2\cdot x^2=2x^4\) से आती है। इसलिए डिग्री (4) है।

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Question 32/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

बहुपद (x(x-2)(x+5)) की डिग्री क्या है?

What is the degree of the polynomial (x(x-2)(x+5))?

Explanation opens after your attempt
Correct Answer

C. (3)

Step 1

Concept

The product of three linear factors gives highest power \(x^3\). Therefore the degree is (3).

Step 2

Why this answer is correct

The correct answer is C. (3). The product of three linear factors gives highest power \(x^3\). Therefore the degree is (3).

Step 3

Exam Tip

तीन रेखीय गुणनखंडों का गुणन उच्चतम घात \(x^3\) देता है। इसलिए डिग्री (3) है।

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Question 33/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

यदि (g(x)=2x-6-2x-6+x-4-x-2), तो (g(x)) की डिग्री क्या है?

If (g(x)=2x-6-2x-6+x-4-x-2), what is the degree of (g(x))?

Explanation opens after your attempt
Correct Answer

B. (4)

Step 1

Concept

\(2x^6-2x^6=0\). The remaining highest power is (4).

Step 2

Why this answer is correct

The correct answer is B. (4). \(2x^6-2x^6=0\). The remaining highest power is (4).

Step 3

Exam Tip

\(2x^6-2x^6=0\) हो जाता है। बची हुई सबसे बड़ी घात (4) है।

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Question 34/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

किस बहुपद की डिग्री (0) नहीं है?

Which polynomial does not have degree (0)?

Explanation opens after your attempt
Correct Answer

C. (x+1)

Step 1

Concept

The highest power of (x+1) is (1). The others are non-zero constant polynomials of degree (0).

Step 2

Why this answer is correct

The correct answer is C. (x+1). The highest power of (x+1) is (1). The others are non-zero constant polynomials of degree (0).

Step 3

Exam Tip

(x+1) की सबसे बड़ी घात (1) है। बाकी अशून्य नियतांक बहुपद हैं जिनकी डिग्री (0) है।

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Question 35/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

बहुपद \(x^2+x^4+x^6+x^8\) की डिग्री क्या है?

What is the degree of \(x^2+x^4+x^6+x^8\)?

Explanation opens after your attempt
Correct Answer

D. (8)

Step 1

Concept

The highest power is (8). Therefore the degree of the polynomial is (8).

Step 2

Why this answer is correct

The correct answer is D. (8). The highest power is (8). Therefore the degree of the polynomial is (8).

Step 3

Exam Tip

सबसे बड़ी घात (8) है। इसलिए बहुपद की डिग्री (8) है।

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Question 36/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

यदि (h(x)=\(x^2-1\)2), तो (h(x)) की डिग्री क्या है?

If (h(x)=\(x^2-1\)2), what is the degree of (h(x))?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

On squaring, the highest term becomes \(x^4\). Therefore the degree is (4).

Step 2

Why this answer is correct

The correct answer is C. (4). On squaring, the highest term becomes \(x^4\). Therefore the degree is (4).

Step 3

Exam Tip

वर्ग करने पर उच्चतम पद \(x^4\) बनेगा। इसलिए डिग्री (4) है।

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Question 37/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

बहुपद \(3x^{10}+2x^7-5x^2+1\) की डिग्री क्या है?

What is the degree of \(3x^{10}+2x^7-5x^2+1\)?

Explanation opens after your attempt
Correct Answer

B. (10)

Step 1

Concept

The highest power is (10). The coefficient (3) is not the degree.

Step 2

Why this answer is correct

The correct answer is B. (10). The highest power is (10). The coefficient (3) is not the degree.

Step 3

Exam Tip

सबसे बड़ी घात (10) है। गुणांक (3) डिग्री नहीं होता।

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Question 38/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

यदि \(2x^n+5x^3-1\) की डिग्री (7) है और (n>3), तो (n) क्या होगा?

If the degree of \(2x^n+5x^3-1\) is (7) and (n>3), what is (n)?

Explanation opens after your attempt
Correct Answer

C. (7)

Step 1

Concept

The degree is the highest power. Since (n>3) and the degree is (7), (n=7).

Step 2

Why this answer is correct

The correct answer is C. (7). The degree is the highest power. Since (n>3) and the degree is (7), (n=7).

Step 3

Exam Tip

डिग्री सबसे बड़ी घात होती है। (n>3) और डिग्री (7) होने से (n=7) होगा।

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Question 39/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

यदि \(x^4+ax^2+7\) की डिग्री (4) है, तो (a) के लिए सही कथन क्या है?

If the degree of \(x^4+ax^2+7\) is (4), what is the correct statement about (a)?

Explanation opens after your attempt
Correct Answer

A. (a) कोई भी वास्तविक संख्या हो सकता है(a) can be any real number

Step 1

Concept

The coefficient of \(x^4\) is (1), which is non-zero. So the value of (a) does not change degree (4).

Step 2

Why this answer is correct

The correct answer is A. (a) कोई भी वास्तविक संख्या हो सकता है / (a) can be any real number. The coefficient of \(x^4\) is (1), which is non-zero. So the value of (a) does not change degree (4).

Step 3

Exam Tip

\(x^4\) का गुणांक (1) है जो शून्य नहीं है। इसलिए (a) का मान डिग्री (4) को नहीं बदलता।

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Question 40/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

बहुपद \(0x^9+0x^5+0x+13\) की डिग्री क्या है?

What is the degree of \(0x^9+0x^5+0x+13\)?

Explanation opens after your attempt
Correct Answer

D. (0)

Step 1

Concept

Terms with zero coefficients disappear and (13) remains. It is a non-zero constant polynomial of degree (0).

Step 2

Why this answer is correct

The correct answer is D. (0). Terms with zero coefficients disappear and (13) remains. It is a non-zero constant polynomial of degree (0).

Step 3

Exam Tip

शून्य गुणांक वाले पद हट जाते हैं और (13) बचता है। यह डिग्री (0) का अशून्य नियतांक बहुपद है।

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Question 41/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

किस विकल्प में डिग्री (2) वाला बहुपद है लेकिन (x) का गुणांक (0) है?

Which option has a polynomial of degree (2) but coefficient of (x) is (0)?

Explanation opens after your attempt
Correct Answer

A. \(5x^2-9\)

Step 1

Concept

\(5x^2-9\) has degree (2), and the (x) term is absent. So the coefficient of (x) is (0).

Step 2

Why this answer is correct

The correct answer is A. \(5x^2-9\). \(5x^2-9\) has degree (2), and the (x) term is absent. So the coefficient of (x) is (0).

Step 3

Exam Tip

\(5x^2-9\) की डिग्री (2) है और (x) पद अनुपस्थित है। इसलिए (x) का गुणांक (0) है।

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Question 42/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

बहुपद (x-3\(2x^2-5\)+4x-2) की डिग्री क्या है?

What is the degree of (x-3\(2x^2-5\)+4x-2)?

Explanation opens after your attempt
Correct Answer

C. (5)

Step 1

Concept

On expanding, we get \(2x^5-5x^3+4x^2\). The highest power is (5).

Step 2

Why this answer is correct

The correct answer is C. (5). On expanding, we get \(2x^5-5x^3+4x^2\). The highest power is (5).

Step 3

Exam Tip

फैलाने पर \(2x^5-5x^3+4x^2\) मिलता है। सबसे बड़ी घात (5) है।

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Question 43/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

यदि (s=1), तो ((s-1)x-4+(s+3)x-3+2) की डिग्री क्या होगी?

If (s=1), what will be the degree of ((s-1)x-4+(s+3)x-3+2)?

Explanation opens after your attempt
Correct Answer

B. (3)

Step 1

Concept

At (s=1), the coefficient of \(x^4\) is (0) and the coefficient of \(x^3\) is (4). Therefore the degree is (3).

Step 2

Why this answer is correct

The correct answer is B. (3). At (s=1), the coefficient of \(x^4\) is (0) and the coefficient of \(x^3\) is (4). Therefore the degree is (3).

Step 3

Exam Tip

(s=1) पर \(x^4\) का गुणांक (0) और \(x^3\) का गुणांक (4) है। इसलिए डिग्री (3) है।

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Question 44/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

बहुपद \(2x^2y+3xy^4+5\) की कुल डिग्री क्या है?

What is the total degree of \(2x^2y+3xy^4+5\)?

Explanation opens after your attempt
Correct Answer

C. (5)

Step 1

Concept

The total power of \(3xy^4\) is (1+4=5). This is the highest total power.

Step 2

Why this answer is correct

The correct answer is C. (5). The total power of \(3xy^4\) is (1+4=5). This is the highest total power.

Step 3

Exam Tip

\(3xy^4\) की कुल घात (1+4=5) है। यह सबसे बड़ी कुल घात है।

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Question 45/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

किस विकल्प में डिग्री (5) नहीं है?

Which option does not have degree (5)?

Explanation opens after your attempt
Correct Answer

C. \(6x^4+7\)

Step 1

Concept

The highest power of \(6x^4+7\) is (4). Therefore its degree is not (5).

Step 2

Why this answer is correct

The correct answer is C. \(6x^4+7\). The highest power of \(6x^4+7\) is (4). Therefore its degree is not (5).

Step 3

Exam Tip

\(6x^4+7\) की सबसे बड़ी घात (4) है। इसलिए इसकी डिग्री (5) नहीं है।

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Question 46/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

यदि \(v\neq2\), तो ((v-2)x-6+x-4+1) की डिग्री क्या है?

If \(v\neq2\), what is the degree of ((v-2)x-6+x-4+1)?

Explanation opens after your attempt
Correct Answer

C. (6)

Step 1

Concept

When \(v\neq2\), the coefficient of \(x^6\) is not zero. Therefore the highest power remains (6).

Step 2

Why this answer is correct

The correct answer is C. (6). When \(v\neq2\), the coefficient of \(x^6\) is not zero. Therefore the highest power remains (6).

Step 3

Exam Tip

\(v\neq2\) होने पर \(x^6\) का गुणांक शून्य नहीं है। इसलिए सबसे बड़ी घात (6) रहेगी।

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Question 47/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

बहुपद (\(x^3+2\)\(x^2-x+1\)) की डिग्री क्या है?

What is the degree of (\(x^3+2\)\(x^2-x+1\))?

Explanation opens after your attempt
Correct Answer

C. (5)

Step 1

Concept

The highest term is \(x^3\cdot x^2=x^5\). Therefore the product has degree (5).

Step 2

Why this answer is correct

The correct answer is C. (5). The highest term is \(x^3\cdot x^2=x^5\). Therefore the product has degree (5).

Step 3

Exam Tip

उच्चतम पद \(x^3\cdot x^2=x^5\) है। इसलिए गुणनफल की डिग्री (5) होगी।

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Question 48/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

यदि (w=3), तो ((w-3)x-8+(w+1)x-5-2x+6) की डिग्री क्या होगी?

If (w=3), what will be the degree of ((w-3)x-8+(w+1)x-5-2x+6)?

Explanation opens after your attempt
Correct Answer

B. (5)

Step 1

Concept

Putting (w=3) makes the coefficient of \(x^8\) equal to (0) and the coefficient of \(x^5\) equal to (4). So the highest power is (5).

Step 2

Why this answer is correct

The correct answer is B. (5). Putting (w=3) makes the coefficient of \(x^8\) equal to (0) and the coefficient of \(x^5\) equal to (4). So the highest power is (5).

Step 3

Exam Tip

(w=3) रखने पर \(x^8\) का गुणांक (0) और \(x^5\) का गुणांक (4) होता है। इसलिए सबसे बड़ी घात (5) है।

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Question 49/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

बहुपद (\(x^2+2x+1\)\(x^4-3\)) की डिग्री क्या है?

What is the degree of the polynomial (\(x^2+2x+1\)\(x^4-3\))?

Explanation opens after your attempt
Correct Answer

C. (6)

Step 1

Concept

The highest term comes from \(x^2\cdot x^4=x^6\). Therefore the degree of the product is (6).

Step 2

Why this answer is correct

The correct answer is C. (6). The highest term comes from \(x^2\cdot x^4=x^6\). Therefore the degree of the product is (6).

Step 3

Exam Tip

उच्चतम पद \(x^2\cdot x^4=x^6\) से मिलेगा। इसलिए गुणनफल की डिग्री (6) है।

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Question 50/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 29

यदि \(2x^m+7x^4-5\) की डिग्री (4) है और (m<4), तो (m) का कौन सा मान संभव है?

If the degree of \(2x^m+7x^4-5\) is (4) and (m<4), which value of (m) is possible?

Explanation opens after your attempt
Correct Answer

D. (m=2)

Step 1

Concept

The \(x^4\) term is already present and (m<4). So even when (m=2), the highest power remains (4).

Step 2

Why this answer is correct

The correct answer is D. (m=2). The \(x^4\) term is already present and (m<4). So even when (m=2), the highest power remains (4).

Step 3

Exam Tip

\(x^4\) पद पहले से मौजूद है और (m<4) है। इसलिए (m=2) होने पर भी सबसे बड़ी घात (4) रहेगी।

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