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5 results found for "variable_part" in Class 10.

यदि (x-5, x+3, x+11, x+19) समांतर श्रेणी है, तो पहले दो पदों का अंतर और अंतिम दो पदों का अंतर क्या है?

If (x-5, x+3, x+11, x+19) is an arithmetic progression, what are the differences of the first two and last two terms?

Explanation opens after your attempt
Correct Answer

A. (8) और (8)(8) and (8)

Step 1

Concept

Every consecutive difference is (8), and (x) cancels out. For terms with the same variable part, compare the constant parts.

Step 2

Why this answer is correct

The correct answer is A. (8) और (8) / (8) and (8). Every consecutive difference is (8), and (x) cancels out. For terms with the same variable part, compare the constant parts.

Step 3

Exam Tip

हर लगातार अंतर (8) है और (x) कट जाता है। समान चर वाले पदों में स्थिर भाग का अंतर देखें।

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बहुपद \(5x^2-8x+6\) में \(x^2\) का गुणांक क्या है?

What is the coefficient of \(x^2\) in \(5x^2-8x+6\)?

Explanation opens after your attempt
Correct Answer

A. (5)

Step 1

Concept

The multiplier of \(x^2\) is (5). Identify the coefficient separately from the variable part.

Step 2

Why this answer is correct

The correct answer is A. (5). The multiplier of \(x^2\) is (5). Identify the coefficient separately from the variable part.

Step 3

Exam Tip

\(x^2\) के साथ लगा गुणक (5) है। पद के गुणांक को उसके चर भाग से अलग पहचानें।

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यदि \(x \neq 0\), तो (\dfrac{(2x)3\(3x^{-2}\)}{12x^{-1}}) का सरल रूप क्या है?

If \(x \neq 0\), what is the simplified form of (\dfrac{(2x)3\(3x^{-2}\)}{12x^{-1}})?

Explanation opens after your attempt
Correct Answer

A. \(,2x^2,\)

Step 1

Concept

The numerator is ((2x)3\(3x^{-2}\)=8x-3\cdot 3x^{-2}=24x), and \(\dfrac{24x}{12x^{-1}}=2x^2\). In exams, simplify both coefficient and variable parts.

Step 2

Why this answer is correct

The correct answer is A. \(,2x^2,\). The numerator is ((2x)3\(3x^{-2}\)=8x-3\cdot 3x^{-2}=24x), and \(\dfrac{24x}{12x^{-1}}=2x^2\). In exams, simplify both coefficient and variable parts.

Step 3

Exam Tip

ऊपर ((2x)3\(3x^{-2}\)=8x-3\cdot 3x^{-2}=24x), और \(\dfrac{24x}{12x^{-1}}=2x^2\)। परीक्षा में coefficient और variable दोनों सरल करें।

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\(\frac{35x^6}{7x^3}\) का सरल रूप क्या है यदि \(x\neq0\)?

What is the simplified form of \(\frac{35x^6}{7x^3}\) if \(x\neq0\)?

Explanation opens after your attempt
Correct Answer

A. \(5x^3\)

Step 1

Concept

The coefficient part is \(\frac{35}{7}=5\) and the variable part is \(\frac{x^6}{x^3}=x^3\). Thus the simplified form is \(5x^3\).

Step 2

Why this answer is correct

The correct answer is A. \(5x^3\). The coefficient part is \(\frac{35}{7}=5\) and the variable part is \(\frac{x^6}{x^3}=x^3\). Thus the simplified form is \(5x^3\).

Step 3

Exam Tip

गुणांक \(\frac{35}{7}=5\) और चर भाग \(\frac{x^6}{x^3}=x^3\) है। इसलिए सरल रूप \(5x^3\) है।

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\(\frac{15x^4}{5x^2}\) का सरल रूप क्या है यदि \(x\neq0\)?

What is the simplified form of \(\frac{15x^4}{5x^2}\) if \(x\neq0\)?

Explanation opens after your attempt
Correct Answer

A. \(3x^2\)

Step 1

Concept

The coefficient part is \(\frac{15}{5}=3\) and the variable part is \(\frac{x^4}{x^2}=x^2\). Thus the simplified form is \(3x^2\).

Step 2

Why this answer is correct

The correct answer is A. \(3x^2\). The coefficient part is \(\frac{15}{5}=3\) and the variable part is \(\frac{x^4}{x^2}=x^2\). Thus the simplified form is \(3x^2\).

Step 3

Exam Tip

गुणांक \(\frac{15}{5}=3\) और चर भाग \(\frac{x^4}{x^2}=x^2\) है। इसलिए सरल रूप \(3x^2\) है।

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