Class 9 Mathematics - Introduction to Polynomials - Degree of polynomial Expert Quiz

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(3a-2-2ab+5b-2-\(2a^2+ab-4b^2\)) को सरल करने पर क्या मिलेगा?

What is obtained after simplifying (3a-2-2ab+5b-2-\(2a^2+ab-4b^2\))?

Explanation opens after your attempt
Correct Answer

C. \(a^2-3ab+9b^2\)

Step 1

Concept

Signs change in the subtracted bracket. The simplified form is \(3a^2-2ab+5b^2-2a^2-ab+4b^2=a^2-3ab+9b^2\).

Step 2

Why this answer is correct

The correct answer is C. \(a^2-3ab+9b^2\). Signs change in the subtracted bracket. The simplified form is \(3a^2-2ab+5b^2-2a^2-ab+4b^2=a^2-3ab+9b^2\).

Step 3

Exam Tip

घटाने वाले कोष्ठक के चिन्ह बदलते हैं। सरल रूप \(3a^2-2ab+5b^2-2a^2-ab+4b^2=a^2-3ab+9b^2\) है।

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\(7x^2-4x+9\) और \(-3x^2+8x-2\) का योग क्या होगा?

What is the sum of \(7x^2-4x+9\) and \(-3x^2+8x-2\)?

Explanation opens after your attempt
Correct Answer

B. \(4x^2+4x+7\)

Step 1

Concept

Adding like terms gives \(7x^2-3x^2=4x^2\), (-4x+8x=4x), and (9-2=7).

Step 2

Why this answer is correct

The correct answer is B. \(4x^2+4x+7\). Adding like terms gives \(7x^2-3x^2=4x^2\), (-4x+8x=4x), and (9-2=7).

Step 3

Exam Tip

समान पद जोड़ने पर \(7x^2-3x^2=4x^2\), (-4x+8x=4x), और (9-2=7)।

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किस व्यंजक में कुल घात (7) है?

Which expression has total degree (7)?

Explanation opens after your attempt
Correct Answer

A. \(x^3y^4\)

Step 1

Concept

In \(x^3y^4\), the total degree is (3+4=7). Add the powers in a multivariable term.

Step 2

Why this answer is correct

The correct answer is A. \(x^3y^4\). In \(x^3y^4\), the total degree is (3+4=7). Add the powers in a multivariable term.

Step 3

Exam Tip

\(x^3y^4\) में कुल घात (3+4=7) है। बहु-चर पद में घातों को जोड़ें।

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\(12x^2-5x+4\) में से \(7x^2-9x+10\) घटाने पर क्या मिलेगा?

What is obtained by subtracting \(7x^2-9x+10\) from \(12x^2-5x+4\)?

Explanation opens after your attempt
Correct Answer

A. \(5x^2+4x-6\)

Step 1

Concept

Subtraction gives \(12x^2-5x+4-7x^2+9x-10\). Its simplified form is \(5x^2+4x-6\).

Step 2

Why this answer is correct

The correct answer is A. \(5x^2+4x-6\). Subtraction gives \(12x^2-5x+4-7x^2+9x-10\). Its simplified form is \(5x^2+4x-6\).

Step 3

Exam Tip

घटाने पर \(12x^2-5x+4-7x^2+9x-10\) मिलता है। इसका सरल रूप \(5x^2+4x-6\) है।

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\(7a^2-4ab+6b^2\) में से \(3a^2-9ab+2b^2\) घटाने पर क्या मिलेगा?

What is obtained by subtracting \(3a^2-9ab+2b^2\) from \(7a^2-4ab+6b^2\)?

Explanation opens after your attempt
Correct Answer

A. \(4a^2+5ab+4b^2\)

Step 1

Concept

Subtraction gives \(7a^2-4ab+6b^2-3a^2+9ab-2b^2\). The simplified form is \(4a^2+5ab+4b^2\).

Step 2

Why this answer is correct

The correct answer is A. \(4a^2+5ab+4b^2\). Subtraction gives \(7a^2-4ab+6b^2-3a^2+9ab-2b^2\). The simplified form is \(4a^2+5ab+4b^2\).

Step 3

Exam Tip

घटाने पर \(7a^2-4ab+6b^2-3a^2+9ab-2b^2\) मिलता है। सरल रूप \(4a^2+5ab+4b^2\) है।

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\(x^4y^3\) में कुल घात और (x) की घात का अंतर क्या है?

What is the difference between the total degree and the power of (x) in \(x^4y^3\)?

Explanation opens after your attempt
Correct Answer

A. (3)

Step 1

Concept

The total degree is (4+3=7), and the power of (x) is (4). The difference is (7-4=3).

Step 2

Why this answer is correct

The correct answer is A. (3). The total degree is (4+3=7), and the power of (x) is (4). The difference is (7-4=3).

Step 3

Exam Tip

कुल घात (4+3=7) है और (x) की घात (4) है। अंतर (7-4=3) होगा।

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FAQs

Class 9 Mathematics Quiz FAQs

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