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Mathematics Quiz - Class 9 Mathematics Medium Level 31 Quiz

Question 1/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

बहुपद \(7x^5-4x^3+2x-8\) की डिग्री क्या है?

What is the degree of the polynomial \(7x^5-4x^3+2x-8\)?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

The highest power is (5). The degree is decided by the highest non-zero power.

Step 2

Why this answer is correct

The correct answer is C. (5). The highest power is (5). The degree is decided by the highest non-zero power.

Step 3

Exam Tip

सबसे बड़ी घात (5) है। डिग्री सबसे बड़ी अशून्य घात से तय होती है।

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Question 2/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

बहुपद \(0x^9+6x^4-5x+3\) की डिग्री क्या है?

What is the degree of \(0x^9+6x^4-5x+3\)?

Explanation opens after your attempt

Correct Answer

C. (4)

Step 1

Concept

\(0x^9\) is a zero term so it is not counted. The highest non-zero power is (4).

Step 2

Why this answer is correct

The correct answer is C. (4). \(0x^9\) is a zero term so it is not counted. The highest non-zero power is (4).

Step 3

Exam Tip

\(0x^9\) शून्य पद है इसलिए उसे नहीं गिनते। सबसे बड़ी अशून्य घात (4) है।

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Question 3/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

सरल करने के बाद \(5x^6-5x^6+8x^2-1\) की डिग्री क्या होगी?

After simplifying \(5x^6-5x^6+8x^2-1\), what will be the degree?

Explanation opens after your attempt

Correct Answer

C. (2)

Step 1

Concept

Since \(5x^6-5x^6=0\), \(8x^2-1\) remains. Its degree is (2).

Step 2

Why this answer is correct

The correct answer is C. (2). Since \(5x^6-5x^6=0\), \(8x^2-1\) remains. Its degree is (2).

Step 3

Exam Tip

\(5x^6-5x^6=0\) होने से \(8x^2-1\) बचता है। इसकी डिग्री (2) है।

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Question 4/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

यदि (p(x)=(b-4)x^-8+3x^-3+2) और (b=4), तो (p(x)) की डिग्री क्या है?

If (p(x)=(b-4)x^-8+3x^-3+2) and (b=4), what is the degree of (p(x))?

Explanation opens after your attempt

Correct Answer

C. (3)

Step 1

Concept

Putting (b=4) makes the coefficient of \(x^8\) equal to (0). The remaining highest power is (3).

Step 2

Why this answer is correct

The correct answer is C. (3). Putting (b=4) makes the coefficient of \(x^8\) equal to (0). The remaining highest power is (3).

Step 3

Exam Tip

(b=4) रखने पर \(x^8\) का गुणांक (0) हो जाता है। बची हुई सबसे बड़ी घात (3) है।

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Question 5/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

किस मान पर ((a+7)x^-6-4x^-2+9) की डिग्री (2) होगी?

For which value will the degree of ((a+7)x^-6-4x^-2+9) be (2)?

Explanation opens after your attempt

Correct Answer

B. (a=-7)

Step 1

Concept

For degree (2), the coefficient of \(x^6\) must be (0). From (a+7=0), we get (a=-7).

Step 2

Why this answer is correct

The correct answer is B. (a=-7). For degree (2), the coefficient of \(x^6\) must be (0). From (a+7=0), we get (a=-7).

Step 3

Exam Tip

डिग्री (2) के लिए \(x^6\) का गुणांक (0) होना चाहिए। (a+7=0) से (a=-7) मिलता है।

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Question 6/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

बहुपद \(-6x^9+2x^5-3x+11\) की डिग्री किस पद से तय होती है?

The degree of \(-6x^9+2x^5-3x+11\) is decided by which term?

Explanation opens after your attempt

Correct Answer

A. \(-6x^9\)

Step 1

Concept

The degree is decided by the term with highest power (9). A negative coefficient does not change the degree.

Step 2

Why this answer is correct

The correct answer is A. \(-6x^9\). The degree is decided by the term with highest power (9). A negative coefficient does not change the degree.

Step 3

Exam Tip

सबसे बड़ी घात (9) 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 31

बहुपद \(5x^3+x^{11}-7x^6+4\) की डिग्री क्या है?

What is the degree of \(5x^3+x^{11}-7x^6+4\)?

Explanation opens after your attempt

Correct Answer

C. (11)

Step 1

Concept

The terms are not in descending order but the highest power is (11). Therefore the degree is (11).

Step 2

Why this answer is correct

The correct answer is C. (11). The terms are not in descending order but the highest power is (11). Therefore the degree is (11).

Step 3

Exam Tip

पद घटते क्रम में नहीं हैं पर सबसे बड़ी घात (11) है। इसलिए डिग्री (11) है।

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Question 8/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

यदि (q(x)=0x^-7+0x^-4+15x-6), तो (q(x)) की डिग्री क्या है?

If (q(x)=0x^-7+0x^-4+15x-6), 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 (15x-6) is (1).

Step 2

Why this answer is correct

The correct answer is C. (1). Terms with zero coefficients disappear. The highest power of (15x-6) is (1).

Step 3

Exam Tip

शून्य गुणांक वाले पद हट जाते हैं। (15x-6) की सबसे बड़ी घात (1) है।

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

बहुपद \(3x^0+4x^6-9x^2\) की डिग्री क्या है?

What is the degree of \(3x^0+4x^6-9x^2\)?

Explanation opens after your attempt

Correct Answer

D. (6)

Step 1

Concept

\(x^0=1\), and the highest power is (6). Therefore the degree is (6).

Step 2

Why this answer is correct

The correct answer is D. (6). \(x^0=1\), and the highest power is (6). Therefore the degree is (6).

Step 3

Exam Tip

\(x^0=1\) होता है और सबसे बड़ी घात (6) है। इसलिए डिग्री (6) है।

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Question 10/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

बहुपद (23) की डिग्री क्या है?

What is the degree of the polynomial (23)?

Explanation opens after your attempt

Correct Answer

C. (0)

Step 1

Concept

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

Step 3

Exam Tip

(23) 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 31

शून्य बहुपद \(0x^8+0x^3+0\) की डिग्री क्या मानी जाती है?

What is considered the degree of the zero polynomial \(0x^8+0x^3+0\)?

Explanation opens after your attempt

Correct Answer

D. परिभाषित नहींNot defined

Step 1

Concept

This is the zero polynomial and its degree is not defined. In exams, identify it separately from non-zero constants.

Step 2

Why this answer is correct

The correct answer is D. परिभाषित नहीं / Not defined. This is the zero polynomial and its degree is not defined. In exams, identify it separately from non-zero constants.

Step 3

Exam Tip

यह शून्य बहुपद है और इसकी डिग्री परिभाषित नहीं होती। परीक्षा में इसे अशून्य नियतांक से अलग पहचानें।

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Question 12/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

किस बहुपद की डिग्री (5) है?

Which polynomial has degree (5)?

Explanation opens after your attempt

Correct Answer

B. \(6x^5-2x+7\)

Step 1

Concept

In \(6x^5-2x+7\), the highest power is (5). Therefore its degree is (5).

Step 2

Why this answer is correct

The correct answer is B. \(6x^5-2x+7\). In \(6x^5-2x+7\), the highest power is (5). Therefore its degree is (5).

Step 3

Exam Tip

\(6x^5-2x+7\) में सबसे बड़ी घात (5) है। इसलिए इसकी डिग्री (5) है।

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Question 13/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

सरल करने के बाद \(9x^7-4x^7+5x^3-2\) की डिग्री क्या है?

After simplifying \(9x^7-4x^7+5x^3-2\), what is the degree?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

The simplified form is \(5x^7+5x^3-2\). Its highest power is (7).

Step 2

Why this answer is correct

The correct answer is C. (7). The simplified form is \(5x^7+5x^3-2\). Its highest power is (7).

Step 3

Exam Tip

सरल रूप \(5x^7+5x^3-2\) है। इसमें सबसे बड़ी घात (7) है।

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Question 14/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

यदि \(r\neq0\), तो \(rx^9+2x^4-3\) की डिग्री क्या होगी?

If \(r\neq0\), what will be the degree of \(rx^9+2x^4-3\)?

Explanation opens after your attempt

Correct Answer

C. (9)

Step 1

Concept

Since \(r\neq0\), the \(x^9\) term remains present. Therefore the highest power is (9).

Step 2

Why this answer is correct

The correct answer is C. (9). Since \(r\neq0\), the \(x^9\) term remains present. Therefore the highest power is (9).

Step 3

Exam Tip

\(r\neq0\) होने से \(x^9\) पद मौजूद रहेगा। इसलिए सबसे बड़ी घात (9) है।

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Question 15/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

यदि (r=0), तो \(rx^9+2x^4-3\) की डिग्री क्या होगी?

If (r=0), what will be the degree of \(rx^9+2x^4-3\)?

Explanation opens after your attempt

Correct Answer

B. (4)

Step 1

Concept

When (r=0), the \(x^9\) term disappears. The remaining highest power is (4).

Step 2

Why this answer is correct

The correct answer is B. (4). When (r=0), the \(x^9\) term disappears. The remaining highest power is (4).

Step 3

Exam Tip

(r=0) होने पर \(x^9\) पद हट जाता है। बची हुई सबसे बड़ी घात (4) है।

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Question 16/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

बहुपद \(8y^6-5y^3+14\) की डिग्री क्या है?

What is the degree of the polynomial \(8y^6-5y^3+14\)?

Explanation opens after your attempt

Correct Answer

C. (6)

Step 1

Concept

The highest power of the variable (y) is (6). Therefore the degree of the polynomial is (6).

Step 2

Why this answer is correct

The correct answer is C. (6). The highest power of the variable (y) is (6). Therefore the degree of the polynomial is (6).

Step 3

Exam Tip

चर (y) की सबसे बड़ी घात (6) है। इसलिए बहुपद की डिग्री (6) है।

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Question 17/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

(x) के संदर्भ में \(9y^4-3y^2+10\) की डिग्री क्या है?

With respect to (x), what is the degree of \(9y^4-3y^2+10\)?

Explanation opens after your attempt

Correct Answer

C. (0)

Step 1

Concept

With respect to (x), it has no (x), so it behaves like a non-zero constant. Its degree is (0).

Step 2

Why this answer is correct

The correct answer is C. (0). With respect to (x), it has no (x), so it behaves like a non-zero constant. Its degree is (0).

Step 3

Exam Tip

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

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Question 18/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

यदि (p(x)=\(m^2-16\)x^-7+6x^-2+1) की डिग्री (2) है, तो (m) का संभावित मान कौन सा है?

If the degree of (p(x)=\(m^2-16\)x^-7+6x^-2+1) is (2), which can be a possible value of (m)?

Explanation opens after your attempt

Correct Answer

C. (m=4)

Step 1

Concept

For degree (2), the coefficient of \(x^7\) must be (0). From \(m^2-16=0\), \(m=\pm4\).

Step 2

Why this answer is correct

The correct answer is C. (m=4). For degree (2), the coefficient of \(x^7\) must be (0). From \(m^2-16=0\), \(m=\pm4\).

Step 3

Exam Tip

डिग्री (2) के लिए \(x^7\) का गुणांक (0) होना चाहिए। \(m^2-16=0\) से \(m=\pm4\) मिलता है।

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Question 19/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

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

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

Explanation opens after your attempt

Correct Answer

C. (6)

Step 1

Concept

On expanding, we get \(12x^6-4x^4\). The highest power is (6).

Step 2

Why this answer is correct

The correct answer is C. (6). On expanding, we get \(12x^6-4x^4\). The highest power is (6).

Step 3

Exam Tip

फैलाने पर \(12x^6-4x^4\) मिलता है। सबसे बड़ी घात (6) है।

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Question 20/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

सरल करने के बाद (x^-4\(x^2+3\)-x^-6+5x^-3) की डिग्री क्या है?

After simplifying (x^-4\(x^2+3\)-x^-6+5x^-3), what is the degree?

Explanation opens after your attempt

Correct Answer

B. (4)

Step 1

Concept

(x^-4\(x^2+3\)=x^-6+3x^-4), and \(x^6\) cancels. The remaining \(3x^4+5x^3\) has degree (4).

Step 2

Why this answer is correct

The correct answer is B. (4). (x^-4\(x^2+3\)=x^-6+3x^-4), and \(x^6\) cancels. The remaining \(3x^4+5x^3\) has degree (4).

Step 3

Exam Tip

(x^-4\(x^2+3\)=x^-6+3x^-4) और \(x^6\) कट जाता है। बचा \(3x^4+5x^3\) है जिसकी डिग्री (4) है।

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Question 21/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

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

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

Explanation opens after your attempt

Correct Answer

C. (6)

Step 1

Concept

In multiplication, the highest power comes from \(x^4\cdot x^2=x^6\). Therefore the degree is (6).

Step 2

Why this answer is correct

The correct answer is C. (6). In multiplication, the highest power comes from \(x^4\cdot x^2=x^6\). Therefore the degree is (6).

Step 3

Exam Tip

गुणन में सबसे बड़ी घात \(x^4\cdot x^2=x^6\) से आती है। इसलिए डिग्री (6) है।

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Question 22/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

बहुपद ((x-4)(x+6)) की डिग्री क्या है?

What is the degree of the polynomial ((x-4)(x+6))?

Explanation opens after your attempt

Correct Answer

B. (2)

Step 1

Concept

The product is \(x^2+2x-24\). Its highest power is (2).

Step 2

Why this answer is correct

The correct answer is B. (2). The product is \(x^2+2x-24\). Its highest power is (2).

Step 3

Exam Tip

गुणनफल \(x^2+2x-24\) है। इसमें सबसे बड़ी घात (2) है।

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Question 23/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

किस विकल्प में बहुपद की डिग्री (8) है?

Which option has a polynomial of degree (8)?

Explanation opens after your attempt

Correct Answer

C. \(2x^8-6x^3+5\)

Step 1

Concept

In the third option, the highest power is (8). Therefore its degree is (8).

Step 2

Why this answer is correct

The correct answer is C. \(2x^8-6x^3+5\). In the third option, the highest power is (8). Therefore its degree is (8).

Step 3

Exam Tip

तीसरे विकल्प में सबसे बड़ी घात (8) है। इसलिए उसकी डिग्री (8) है।

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Question 24/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

यदि बहुपद की डिग्री (2) है, तो वह किस प्रकार का बहुपद कहलाता है?

If a polynomial has degree (2), what type of polynomial is it called?

Explanation opens after your attempt

Correct Answer

B. द्विघात बहुपदQuadratic polynomial

Step 1

Concept

A polynomial of degree (2) is called a quadratic polynomial. Identify the type by degree.

Step 2

Why this answer is correct

The correct answer is B. द्विघात बहुपद / Quadratic polynomial. A polynomial of degree (2) is called a quadratic polynomial. Identify the type by degree.

Step 3

Exam Tip

डिग्री (2) वाला बहुपद द्विघात बहुपद कहलाता है। बहुपद का प्रकार डिग्री से पहचानें।

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Question 25/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

यदि (f(x)=3x^-6-8x^-6+4x^-2-7), तो (f(x)) की डिग्री क्या है?

If (f(x)=3x^-6-8x^-6+4x^-2-7), what is the degree of (f(x))?

Explanation opens after your attempt

Correct Answer

A. (6)

Step 1

Concept

On simplifying, we get \(-5x^6+4x^2-7\). The highest power is (6).

Step 2

Why this answer is correct

The correct answer is A. (6). On simplifying, we get \(-5x^6+4x^2-7\). The highest power is (6).

Step 3

Exam Tip

सरल करने पर \(-5x^6+4x^2-7\) मिलता है। सबसे बड़ी घात (6) है।

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Question 26/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

बहुपद \(6x^3y^2+5xy-4\) की कुल डिग्री क्या है?

What is the total degree of the polynomial \(6x^3y^2+5xy-4\)?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

The total power of the term \(6x^3y^2\) 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 \(6x^3y^2\) is (3+2=5). This is the highest total power.

Step 3

Exam Tip

पद \(6x^3y^2\) की कुल घात (3+2=5) है। यही सबसे बड़ी कुल घात है।

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Question 27/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

बहुपद \(2x^4y-7xy^3+9\) की कुल डिग्री क्या है?

What is the total degree of \(2x^4y-7xy^3+9\)?

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

The total power of the first term is (4+1=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 first term is (4+1=5). This is the highest total power.

Step 3

Exam Tip

पहले पद की कुल घात (4+1=5) है। यह सबसे बड़ी कुल घात है।

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Question 28/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

(x) के संदर्भ में \(5x^4y^3+2xy^6-8\) की डिग्री क्या है?

With respect to (x), what is the degree of \(5x^4y^3+2xy^6-8\)?

Explanation opens after your attempt

Correct Answer

C. (4)

Step 1

Concept

With respect to (x), (y) is treated like a coefficient. The highest power of (x) is (4).

Step 2

Why this answer is correct

The correct answer is C. (4). With respect to (x), (y) is treated like a coefficient. The highest power of (x) is (4).

Step 3

Exam Tip

(x) के संदर्भ में (y) को गुणांक जैसा मानते हैं। (x) की सबसे बड़ी घात (4) है।

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

(y) के संदर्भ में \(5x^4y^3+2xy^6-8\) की डिग्री क्या है?

With respect to (y), what is the degree of \(5x^4y^3+2xy^6-8\)?

Explanation opens after your attempt

Correct Answer

D. (6)

Step 1

Concept

The highest power of (y) is (6). Therefore the degree with respect to (y) is (6).

Step 2

Why this answer is correct

The correct answer is D. (6). The highest power of (y) is (6). Therefore the degree with respect to (y) is (6).

Step 3

Exam Tip

(y) की सबसे बड़ी घात (6) है। इसलिए (y) के संदर्भ में डिग्री (6) है।

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Question 30/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

बहुपद \(0x^{11}+0x^5+31\) की डिग्री क्या है?

What is the degree of \(0x^{11}+0x^5+31\)?

Explanation opens after your attempt

Correct Answer

C. (0)

Step 1

Concept

Terms with zero coefficients disappear and (31) remains. (31) 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 (31) remains. (31) is a non-zero constant polynomial of degree (0).

Step 3

Exam Tip

शून्य गुणांक वाले पद हट जाते हैं और (31) बचता है। (31) अशून्य नियतांक बहुपद है जिसकी डिग्री (0) है।

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

यदि ((t-5)x^-4+(t+2)x^-3+6) की डिग्री (3) है, तो (t) का सही मान कौन सा हो सकता है?

If the degree of ((t-5)x^-4+(t+2)x^-3+6) is (3), which value of (t) can be correct?

Explanation opens after your attempt

Correct Answer

A. (t=5)

Step 1

Concept

For degree (3), the \(x^4\) term must vanish and the \(x^3\) term must remain. At (t=5), both conditions hold.

Step 2

Why this answer is correct

The correct answer is A. (t=5). For degree (3), the \(x^4\) term must vanish and the \(x^3\) term must remain. At (t=5), both conditions hold.

Step 3

Exam Tip

डिग्री (3) के लिए \(x^4\) पद हटना चाहिए और \(x^3\) पद बचना चाहिए। (t=5) पर दोनों शर्तें पूरी होती हैं।

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Question 32/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

यदि (u=-3), तो ((u+3)x^-7+\(u^2-2\)x^-5+x^-2) की डिग्री क्या है?

If (u=-3), what is the degree of ((u+3)x^-7+\(u^2-2\)x^-5+x^-2)?

Explanation opens after your attempt

Correct Answer

B. (5)

Step 1

Concept

At (u=-3), the coefficient of \(x^7\) is (0) and the coefficient of \(x^5\) is (7). Therefore the degree is (5).

Step 2

Why this answer is correct

The correct answer is B. (5). At (u=-3), the coefficient of \(x^7\) is (0) and the coefficient of \(x^5\) is (7). Therefore the degree is (5).

Step 3

Exam Tip

(u=-3) पर \(x^7\) का गुणांक (0) और \(x^5\) का गुणांक (7) होता है। इसलिए डिग्री (5) है।

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Question 33/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

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

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

Explanation opens after your attempt

Correct Answer

C. (5)

Step 1

Concept

The highest power comes from \(4x^3\cdot x^2=4x^5\). Therefore the degree is (5).

Step 2

Why this answer is correct

The correct answer is C. (5). The highest power comes from \(4x^3\cdot x^2=4x^5\). Therefore the degree is (5).

Step 3

Exam Tip

सबसे बड़ी घात \(4x^3\cdot x^2=4x^5\) से आती है। इसलिए डिग्री (5) है।

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Question 34/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

बहुपद (x(x-6)(x+2)) की डिग्री क्या है?

What is the degree of the polynomial (x(x-6)(x+2))?

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 35/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

यदि (g(x)=4x^-8-4x^-8+x^-6-x^-3), तो (g(x)) की डिग्री क्या है?

If (g(x)=4x^-8-4x^-8+x^-6-x^-3), what is the degree of (g(x))?

Explanation opens after your attempt

Correct Answer

B. (6)

Step 1

Concept

\(4x^8-4x^8=0\). The remaining highest power is (6).

Step 2

Why this answer is correct

The correct answer is B. (6). \(4x^8-4x^8=0\). The remaining highest power is (6).

Step 3

Exam Tip

\(4x^8-4x^8=0\) हो जाता है। बची हुई सबसे बड़ी घात (6) है।

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Question 36/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

बहुपद \(x^4+x^6+x^8+x^{10}\) की डिग्री क्या है?

What is the degree of \(x^4+x^6+x^8+x^{10}\)?

Explanation opens after your attempt

Correct Answer

D. (10)

Step 1

Concept

The highest power is (10). Therefore the degree of the polynomial is (10).

Step 2

Why this answer is correct

The correct answer is D. (10). The highest power is (10). Therefore the degree of the polynomial is (10).

Step 3

Exam Tip

सबसे बड़ी घात (10) है। इसलिए बहुपद की डिग्री (10) है।

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Question 37/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

यदि (h(x)=\(x^4-3\)²), तो (h(x)) की डिग्री क्या है?

If (h(x)=\(x^4-3\)²), what is the degree of (h(x))?

Explanation opens after your attempt

Correct Answer

C. (8)

Step 1

Concept

On squaring, the highest term becomes \(x^8\). Therefore the degree is (8).

Step 2

Why this answer is correct

The correct answer is C. (8). On squaring, the highest term becomes \(x^8\). Therefore the degree is (8).

Step 3

Exam Tip

वर्ग करने पर उच्चतम पद \(x^8\) बनेगा। इसलिए डिग्री (8) है।

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Question 38/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

बहुपद \(2x^{12}-5x^9+3x^4-6\) की डिग्री क्या है?

What is the degree of \(2x^{12}-5x^9+3x^4-6\)?

Explanation opens after your attempt

Correct Answer

B. (12)

Step 1

Concept

The highest power is (12). The coefficient (2) is not the degree.

Step 2

Why this answer is correct

The correct answer is B. (12). The highest power is (12). The coefficient (2) is not the degree.

Step 3

Exam Tip

सबसे बड़ी घात (12) है। गुणांक (2) डिग्री नहीं होता।

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Question 39/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

यदि \(5x^n+4x^6-2\) की डिग्री (11) है और (n>6), तो (n) क्या होगा?

If the degree of \(5x^n+4x^6-2\) is (11) and (n>6), what is (n)?

Explanation opens after your attempt

Correct Answer

C. (11)

Step 1

Concept

The degree is the highest power. Since (n>6) and the degree is (11), (n=11).

Step 2

Why this answer is correct

The correct answer is C. (11). The degree is the highest power. Since (n>6) and the degree is (11), (n=11).

Step 3

Exam Tip

डिग्री सबसे बड़ी घात होती है। (n>6) और डिग्री (11) होने से (n=11) होगा।

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Question 40/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

यदि \(x^6+ax^2+5\) की डिग्री (6) है, तो (a) के लिए सही कथन क्या है?

If the degree of \(x^6+ax^2+5\) is (6), 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 \(x^6\) is (1), which is non-zero. So the value of (a) does not change degree (6).

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 \(x^6\) is (1), which is non-zero. So the value of (a) does not change degree (6).

Step 3

Exam Tip

\(x^6\) का गुणांक (1) है जो शून्य नहीं है। इसलिए (a) का मान डिग्री (6) को नहीं बदलता।

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Question 41/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

बहुपद \(0x^{12}+0x^7+0x+37\) की डिग्री क्या है?

What is the degree of \(0x^{12}+0x^7+0x+37\)?

Explanation opens after your attempt

Correct Answer

D. (0)

Step 1

Concept

Terms with zero coefficients disappear and (37) 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 (37) remains. It is a non-zero constant polynomial of degree (0).

Step 3

Exam Tip

शून्य गुणांक वाले पद हट जाते हैं और (37) बचता है। यह डिग्री (0) का अशून्य नियतांक बहुपद है।

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Question 42/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

किस विकल्प में डिग्री (4) वाला बहुपद है लेकिन \(x^3\) का गुणांक (0) है?

Which option has a polynomial of degree (4) but coefficient of \(x^3\) is (0)?

Explanation opens after your attempt

Correct Answer

A. \(3x^4-2x+1\)

Step 1

Concept

\(3x^4-2x+1\) has degree (4), and the \(x^3\) term is absent. So the coefficient of \(x^3\) is (0).

Step 2

Why this answer is correct

The correct answer is A. \(3x^4-2x+1\). \(3x^4-2x+1\) has degree (4), and the \(x^3\) term is absent. So the coefficient of \(x^3\) is (0).

Step 3

Exam Tip

\(3x^4-2x+1\) की डिग्री (4) है और \(x^3\) पद अनुपस्थित है। इसलिए \(x^3\) का गुणांक (0) है।

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Question 43/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

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

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

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

On expanding, we get \(2x^7-3x^5+4x^4\). The highest power is (7).

Step 2

Why this answer is correct

The correct answer is C. (7). On expanding, we get \(2x^7-3x^5+4x^4\). The highest power is (7).

Step 3

Exam Tip

फैलाने पर \(2x^7-3x^5+4x^4\) मिलता है। सबसे बड़ी घात (7) है।

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Question 44/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

यदि (s=2), तो ((s^-2)x^-6+(s+5)x^-3+9) की डिग्री क्या होगी?

If (s=2), what will be the degree of ((s^-2)x^-6+(s+5)x^-3+9)?

Explanation opens after your attempt

Correct Answer

C. (3)

Step 1

Concept

At (s=2), the coefficient of \(x^6\) is (0) and the coefficient of \(x^3\) is (7). Therefore the degree is (3).

Step 2

Why this answer is correct

The correct answer is C. (3). At (s=2), the coefficient of \(x^6\) is (0) and the coefficient of \(x^3\) is (7). Therefore the degree is (3).

Step 3

Exam Tip

(s=2) पर \(x^6\) का गुणांक (0) और \(x^3\) का गुणांक (7) है। इसलिए डिग्री (3) है।

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Question 45/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

बहुपद \(3x^4y+5xy^6+2\) की कुल डिग्री क्या है?

What is the total degree of \(3x^4y+5xy^6+2\)?

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

The total power of \(5xy^6\) is (1+6=7). This is the highest total power.

Step 2

Why this answer is correct

The correct answer is C. (7). The total power of \(5xy^6\) is (1+6=7). This is the highest total power.

Step 3

Exam Tip

\(5xy^6\) की कुल घात (1+6=7) है। यह सबसे बड़ी कुल घात है।

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Question 46/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

किस विकल्प में डिग्री (7) नहीं है?

Which option does not have degree (7)?

Explanation opens after your attempt

Correct Answer

C. \(7x^6+5\)

Step 1

Concept

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

Step 2

Why this answer is correct

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

Step 3

Exam Tip

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

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Question 47/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

यदि \(v\neq5\), तो ((v-5)x^-8+x^-4+1) की डिग्री क्या है?

If \(v\neq5\), what is the degree of ((v-5)x^-8+x^-4+1)?

Explanation opens after your attempt

Correct Answer

C. (8)

Step 1

Concept

When \(v\neq5\), the coefficient of \(x^8\) is not zero. Therefore the highest power remains (8).

Step 2

Why this answer is correct

The correct answer is C. (8). When \(v\neq5\), the coefficient of \(x^8\) is not zero. Therefore the highest power remains (8).

Step 3

Exam Tip

\(v\neq5\) होने पर \(x^8\) का गुणांक शून्य नहीं है। इसलिए सबसे बड़ी घात (8) रहेगी।

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Question 48/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

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

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

Explanation opens after your attempt

Correct Answer

C. (7)

Step 1

Concept

The highest term is \(x^5\cdot x^2=x^7\). Therefore the product has degree (7).

Step 2

Why this answer is correct

The correct answer is C. (7). The highest term is \(x^5\cdot x^2=x^7\). Therefore the product has degree (7).

Step 3

Exam Tip

उच्चतम पद \(x^5\cdot x^2=x^7\) है। इसलिए गुणनफल की डिग्री (7) होगी।

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Question 49/50 Medium Mathematics Introduction to Polynomials Degree of polynomial Class 9 Level 31

यदि (c=0), तो (cx^{10}+(c+4)x^-6-3x+2) की डिग्री क्या होगी?

If (c=0), what will be the degree of (cx^{10}+(c+4)x^-6-3x+2)?

Explanation opens after your attempt

Correct Answer

B. (6)

Step 1

Concept

When (c=0), the \(x^{10}\) term disappears and the coefficient of \(x^6\) remains (4). Therefore the degree is (6).

Step 2

Why this answer is correct

The correct answer is B. (6). When (c=0), the \(x^{10}\) term disappears and the coefficient of \(x^6\) remains (4). Therefore the degree is (6).

Step 3

Exam Tip

(c=0) पर \(x^{10}\) पद हट जाता है और \(x^6\) का गुणांक (4) रहता है। इसलिए डिग्री (6) है।

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

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

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

Explanation opens after your attempt

Correct Answer

C. (6)

Step 1

Concept

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

Step 3

Exam Tip

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

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Class 9 Mathematics Medium Quiz

बहुपद \(7x^5-4x^3+2x-8\) की डिग्री क्या है?

Concept

Why this answer is correct

Exam Tip

बहुपद \(0x^9+6x^4-5x+3\) की डिग्री क्या है?

Concept

Why this answer is correct

Exam Tip

सरल करने के बाद \(5x^6-5x^6+8x^2-1\) की डिग्री क्या होगी?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=(b-4)x-8+3x-3+2) और (b=4), तो (p(x)) की डिग्री क्या है?

Concept

Why this answer is correct

Exam Tip

किस मान पर ((a+7)x-6-4x-2+9) की डिग्री (2) होगी?

Concept

Why this answer is correct

Exam Tip

बहुपद \(-6x^9+2x^5-3x+11\) की डिग्री किस पद से तय होती है?

Concept

Why this answer is correct

Exam Tip

बहुपद \(5x^3+x^{11}-7x^6+4\) की डिग्री क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (q(x)=0x-7+0x-4+15x-6), तो (q(x)) की डिग्री क्या है?

Concept

Why this answer is correct

Exam Tip

बहुपद \(3x^0+4x^6-9x^2\) की डिग्री क्या है?

Concept

Why this answer is correct

Exam Tip

बहुपद (23) की डिग्री क्या है?

Concept

Why this answer is correct

Exam Tip

शून्य बहुपद \(0x^8+0x^3+0\) की डिग्री क्या मानी जाती है?

Concept

Why this answer is correct

Exam Tip

किस बहुपद की डिग्री (5) है?

Concept

Why this answer is correct

Exam Tip

सरल करने के बाद \(9x^7-4x^7+5x^3-2\) की डिग्री क्या है?

Concept

Why this answer is correct

Exam Tip

यदि \(r\neq0\), तो \(rx^9+2x^4-3\) की डिग्री क्या होगी?

Concept

Why this answer is correct

Exam Tip

यदि (r=0), तो \(rx^9+2x^4-3\) की डिग्री क्या होगी?

Concept

Why this answer is correct

Exam Tip

बहुपद \(8y^6-5y^3+14\) की डिग्री क्या है?

Concept

Why this answer is correct

Exam Tip

(x) के संदर्भ में \(9y^4-3y^2+10\) की डिग्री क्या है?

Concept

Why this answer is correct

Exam Tip

यदि (p(x)=\(m^2-16\)x-7+6x-2+1) की डिग्री (2) है, तो (m) का संभावित मान कौन सा है?

Concept

Why this answer is correct

Exam Tip

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

Concept

Why this answer is correct

Exam Tip

सरल करने के बाद (x-4\(x^2+3\)-x-6+5x-3) की डिग्री क्या है?

Concept

Why this answer is correct

यदि (p(x)=(b-4)x^-8+3x^-3+2) और (b=4), तो (p(x)) की डिग्री क्या है?

किस मान पर ((a+7)x^-6-4x^-2+9) की डिग्री (2) होगी?

यदि (q(x)=0x^-7+0x^-4+15x-6), तो (q(x)) की डिग्री क्या है?

यदि (p(x)=\(m^2-16\)x^-7+6x^-2+1) की डिग्री (2) है, तो (m) का संभावित मान कौन सा है?

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

सरल करने के बाद (x^-4\(x^2+3\)-x^-6+5x^-3) की डिग्री क्या है?

यदि (f(x)=3x^-6-8x^-6+4x^-2-7), तो (f(x)) की डिग्री क्या है?

यदि ((t-5)x^-4+(t+2)x^-3+6) की डिग्री (3) है, तो (t) का सही मान कौन सा हो सकता है?

यदि (u=-3), तो ((u+3)x^-7+\(u^2-2\)x^-5+x^-2) की डिग्री क्या है?

यदि (g(x)=4x^-8-4x^-8+x^-6-x^-3), तो (g(x)) की डिग्री क्या है?

यदि (h(x)=\(x^4-3\)²), तो (h(x)) की डिग्री क्या है?