Concept-wise Practice

factorisation MCQ Questions for Class 10

factorisation se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

207 questions tagged with factorisation.

समीकरण \(x^2-6x-7=0\) के मूलों का अंतर कितना है?

What is the difference between the roots of \(x^2-6x-7=0\)?

Explanation opens after your attempt
Correct Answer

A. (8)

Step 1

Concept

(x-2-6x-7=(x-7)(x+1)). The roots are (7) and (-1), so the difference is (8).

Step 2

Why this answer is correct

The correct answer is A. (8). (x-2-6x-7=(x-7)(x+1)). The roots are (7) and (-1), so the difference is (8).

Step 3

Exam Tip

(x-2-6x-7=(x-7)(x+1)) है। मूल (7) और (-1) हैं इसलिए अंतर (8) है।

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समीकरण \(x^2-5x-24=0\) का धनात्मक मूल कौन सा है?

What is the positive root of \(x^2-5x-24=0\)?

Explanation opens after your attempt
Correct Answer

A. (8)

Step 1

Concept

(x-2-5x-24=(x-8)(x+3)). Therefore the roots are (8) and (-3), and the positive root is (8).

Step 2

Why this answer is correct

The correct answer is A. (8). (x-2-5x-24=(x-8)(x+3)). Therefore the roots are (8) and (-3), and the positive root is (8).

Step 3

Exam Tip

(x-2-5x-24=(x-8)(x+3)) है। इसलिए मूल (8) और (-3) हैं तथा धनात्मक मूल (8) है।

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समीकरण \(3x^2+2x-8=0\) के मूल कौन से हैं?

What are the roots of \(3x^2+2x-8=0\)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{4}{3}\) और (-2)\(\frac{4}{3}\) and (-2)

Step 1

Concept

(3x-2+2x-8=(3x-4)(x+2)). Therefore the roots are \(\frac{4}{3}\) and (-2).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{4}{3}\) और (-2) / \(\frac{4}{3}\) and (-2). (3x-2+2x-8=(3x-4)(x+2)). Therefore the roots are \(\frac{4}{3}\) and (-2).

Step 3

Exam Tip

(3x-2+2x-8=(3x-4)(x+2)) है। इसलिए मूल \(\frac{4}{3}\) और (-2) हैं।

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समीकरण \(x^2+x-20=0\) के मूल कौन से हैं?

What are the roots of \(x^2+x-20=0\)?

Explanation opens after your attempt
Correct Answer

A. (4) और (-5)(4) and (-5)

Step 1

Concept

(x-2+x-20=(x+5)(x-4)). Therefore the roots are (-5) and (4).

Step 2

Why this answer is correct

The correct answer is A. (4) और (-5) / (4) and (-5). (x-2+x-20=(x+5)(x-4)). Therefore the roots are (-5) and (4).

Step 3

Exam Tip

(x-2+x-20=(x+5)(x-4)) है। इसलिए मूल (-5) और (4) हैं।

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समीकरण \(2x^2+9x+4=0\) के मूल कौन से हैं?

What are the roots of \(2x^2+9x+4=0\)?

Explanation opens after your attempt
Correct Answer

A. (-4) और \(-\frac{1}{2}\)(-4) and \(-\frac{1}{2}\)

Step 1

Concept

(2x-2+9x+4=(2x+1)(x+4)). Therefore the roots are \(-\frac{1}{2}\) and (-4).

Step 2

Why this answer is correct

The correct answer is A. (-4) और \(-\frac{1}{2}\) / (-4) and \(-\frac{1}{2}\). (2x-2+9x+4=(2x+1)(x+4)). Therefore the roots are \(-\frac{1}{2}\) and (-4).

Step 3

Exam Tip

(2x-2+9x+4=(2x+1)(x+4)) है। इसलिए मूल \(-\frac{1}{2}\) और (-4) हैं।

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समीकरण \(3x^2-13x+4=0\) के मूल कौन से हैं?

What are the roots of \(3x^2-13x+4=0\)?

Explanation opens after your attempt
Correct Answer

A. (4) और \(\frac{1}{3}\)(4) and \(\frac{1}{3}\)

Step 1

Concept

(3x-2-13x+4=(3x-1)(x-4)). Therefore the roots are \(\frac{1}{3}\) and (4).

Step 2

Why this answer is correct

The correct answer is A. (4) और \(\frac{1}{3}\) / (4) and \(\frac{1}{3}\). (3x-2-13x+4=(3x-1)(x-4)). Therefore the roots are \(\frac{1}{3}\) and (4).

Step 3

Exam Tip

(3x-2-13x+4=(3x-1)(x-4)) है। इसलिए मूल \(\frac{1}{3}\) और (4) हैं।

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समीकरण \(x^2-12x+35=0\) के मूल कौन से हैं?

What are the roots of \(x^2-12x+35=0\)?

Explanation opens after your attempt
Correct Answer

A. (5) और (7)(5) and (7)

Step 1

Concept

(x-2-12x+35=(x-5)(x-7)). Therefore the roots are (5) and (7).

Step 2

Why this answer is correct

The correct answer is A. (5) और (7) / (5) and (7). (x-2-12x+35=(x-5)(x-7)). Therefore the roots are (5) and (7).

Step 3

Exam Tip

(x-2-12x+35=(x-5)(x-7)) है। इसलिए मूल (5) और (7) हैं।

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समीकरण \(6x^2-7x+2=0\) के मूल कौन से हैं?

What are the roots of \(6x^2-7x+2=0\)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{1}{2}\) और \(\frac{2}{3}\)\(\frac{1}{2}\) and \(\frac{2}{3}\)

Step 1

Concept

(6x-2-7x+2=(3x-2)(2x-1)). Therefore the roots are \(\frac{2}{3}\) and \(\frac{1}{2}\).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{1}{2}\) और \(\frac{2}{3}\) / \(\frac{1}{2}\) and \(\frac{2}{3}\). (6x-2-7x+2=(3x-2)(2x-1)). Therefore the roots are \(\frac{2}{3}\) and \(\frac{1}{2}\).

Step 3

Exam Tip

(6x-2-7x+2=(3x-2)(2x-1)) है। इसलिए मूल \(\frac{2}{3}\) और \(\frac{1}{2}\) हैं।

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समीकरण \(x^2-4x-5=0\) के मूलों का अंतर कितना है?

What is the difference between the roots of \(x^2-4x-5=0\)?

Explanation opens after your attempt
Correct Answer

A. (6)

Step 1

Concept

(x-2-4x-5=(x-5)(x+1)). The roots are (5) and (-1), so the difference is (6).

Step 2

Why this answer is correct

The correct answer is A. (6). (x-2-4x-5=(x-5)(x+1)). The roots are (5) and (-1), so the difference is (6).

Step 3

Exam Tip

(x-2-4x-5=(x-5)(x+1)) है। मूल (5) और (-1) हैं इसलिए अंतर (6) है।

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समीकरण \(x^2-3x-18=0\) का धनात्मक मूल कौन सा है?

What is the positive root of \(x^2-3x-18=0\)?

Explanation opens after your attempt
Correct Answer

A. (6)

Step 1

Concept

(x-2-3x-18=(x-6)(x+3)). Therefore the roots are (6) and (-3), and the positive root is (6).

Step 2

Why this answer is correct

The correct answer is A. (6). (x-2-3x-18=(x-6)(x+3)). Therefore the roots are (6) and (-3), and the positive root is (6).

Step 3

Exam Tip

(x-2-3x-18=(x-6)(x+3)) है। इसलिए मूल (6) और (-3) हैं तथा धनात्मक मूल (6) है।

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समीकरण \(2x^2+x-6=0\) के मूल कौन से हैं?

What are the roots of \(2x^2+x-6=0\)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{3}{2}\) और (-2)\(\frac{3}{2}\) and (-2)

Step 1

Concept

(2x-2+x-6=(2x-3)(x+2)). Therefore the roots are \(\frac{3}{2}\) and (-2).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{3}{2}\) और (-2) / \(\frac{3}{2}\) and (-2). (2x-2+x-6=(2x-3)(x+2)). Therefore the roots are \(\frac{3}{2}\) and (-2).

Step 3

Exam Tip

(2x-2+x-6=(2x-3)(x+2)) है। इसलिए मूल \(\frac{3}{2}\) और (-2) हैं।

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समीकरण \(x^2-2x-15=0\) के मूल कौन से हैं?

What are the roots of \(x^2-2x-15=0\)?

Explanation opens after your attempt
Correct Answer

A. (5) और (-3)(5) and (-3)

Step 1

Concept

(x-2-2x-15=(x-5)(x+3)). Therefore the roots are (5) and (-3).

Step 2

Why this answer is correct

The correct answer is A. (5) और (-3) / (5) and (-3). (x-2-2x-15=(x-5)(x+3)). Therefore the roots are (5) and (-3).

Step 3

Exam Tip

(x-2-2x-15=(x-5)(x+3)) है। इसलिए मूल (5) और (-3) हैं।

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समीकरण \(3x^2+10x+3=0\) के मूल कौन से हैं?

What are the roots of \(3x^2+10x+3=0\)?

Explanation opens after your attempt
Correct Answer

A. (-3) और \(-\frac{1}{3}\)(-3) and \(-\frac{1}{3}\)

Step 1

Concept

(3x-2+10x+3=(3x+1)(x+3)). Therefore the roots are \(-\frac{1}{3}\) and (-3).

Step 2

Why this answer is correct

The correct answer is A. (-3) और \(-\frac{1}{3}\) / (-3) and \(-\frac{1}{3}\). (3x-2+10x+3=(3x+1)(x+3)). Therefore the roots are \(-\frac{1}{3}\) and (-3).

Step 3

Exam Tip

(3x-2+10x+3=(3x+1)(x+3)) है। इसलिए मूल \(-\frac{1}{3}\) और (-3) हैं।

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समीकरण \(2x^2-7x+3=0\) के मूल कौन से हैं?

What are the roots of \(2x^2-7x+3=0\)?

Explanation opens after your attempt
Correct Answer

A. (3) और \(\frac{1}{2}\)(3) and \(\frac{1}{2}\)

Step 1

Concept

(2x-2-7x+3=(2x-1)(x-3)). Therefore the roots are \(\frac{1}{2}\) and (3).

Step 2

Why this answer is correct

The correct answer is A. (3) और \(\frac{1}{2}\) / (3) and \(\frac{1}{2}\). (2x-2-7x+3=(2x-1)(x-3)). Therefore the roots are \(\frac{1}{2}\) and (3).

Step 3

Exam Tip

(2x-2-7x+3=(2x-1)(x-3)) है। इसलिए मूल \(\frac{1}{2}\) और (3) हैं।

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समीकरण \(x^2-11x+28=0\) के मूल कौन से हैं?

What are the roots of \(x^2-11x+28=0\)?

Explanation opens after your attempt
Correct Answer

A. (4) और (7)(4) and (7)

Step 1

Concept

(x-2-11x+28=(x-4)(x-7)). Therefore the roots are (4) and (7).

Step 2

Why this answer is correct

The correct answer is A. (4) और (7) / (4) and (7). (x-2-11x+28=(x-4)(x-7)). Therefore the roots are (4) and (7).

Step 3

Exam Tip

(x-2-11x+28=(x-4)(x-7)) है। इसलिए मूल (4) और (7) हैं।

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समीकरण \(4x^2-12x+9=0\) के मूल कौन से हैं?

What are the roots of \(4x^2-12x+9=0\)?

Explanation opens after your attempt
Correct Answer

A. \( \frac{3}{2} \) और \( \frac{3}{2} \)\( \frac{3}{2} \) and \( \frac{3}{2} \)

Step 1

Concept

(4x-2-12x+9=(2x-3)2). Therefore the repeated root is \(\frac{3}{2}\).

Step 2

Why this answer is correct

The correct answer is A. \( \frac{3}{2} \) और \( \frac{3}{2} \) / \( \frac{3}{2} \) and \( \frac{3}{2} \). (4x-2-12x+9=(2x-3)2). Therefore the repeated root is \(\frac{3}{2}\).

Step 3

Exam Tip

(4x-2-12x+9=(2x-3)2) है। इसलिए दोहराया मूल \(\frac{3}{2}\) है।

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समीकरण \(x^2+x-12=0\) के मूल कौन से हैं?

What are the roots of \(x^2+x-12=0\)?

Explanation opens after your attempt
Correct Answer

A. (3) और (-4)(3) and (-4)

Step 1

Concept

(x-2+x-12=(x+4)(x-3)). Therefore the roots are (-4) and (3).

Step 2

Why this answer is correct

The correct answer is A. (3) और (-4) / (3) and (-4). (x-2+x-12=(x+4)(x-3)). Therefore the roots are (-4) and (3).

Step 3

Exam Tip

(x-2+x-12=(x+4)(x-3)) है। इसलिए मूल (-4) और (3) हैं।

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समीकरण \(x^2-6x+9=0\) के मूल कौन से हैं?

What are the roots of \(x^2-6x+9=0\)?

Explanation opens after your attempt
Correct Answer

A. (3) और (3)(3) and (3)

Step 1

Concept

(x-2-6x+9=(x-3)2). Therefore both roots are (3).

Step 2

Why this answer is correct

The correct answer is A. (3) और (3) / (3) and (3). (x-2-6x+9=(x-3)2). Therefore both roots are (3).

Step 3

Exam Tip

(x-2-6x+9=(x-3)2) है। इसलिए दोनों मूल (3) हैं।

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समीकरण \(4x^2-20x=0\) के मूल कौन से हैं?

What are the roots of \(4x^2-20x=0\)?

Explanation opens after your attempt
Correct Answer

A. (0) और (5)(0) and (5)

Step 1

Concept

(4x-2-20x=4x(x-5)). Therefore the roots are (0) and (5).

Step 2

Why this answer is correct

The correct answer is A. (0) और (5) / (0) and (5). (4x-2-20x=4x(x-5)). Therefore the roots are (0) and (5).

Step 3

Exam Tip

(4x-2-20x=4x(x-5)) है। इसलिए मूल (0) और (5) हैं।

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समीकरण \(x^2-11x+30=0\) का एक मूल (5) है तो दूसरा मूल क्या है?

If one root of \(x^2-11x+30=0\) is (5), what is the other root?

Explanation opens after your attempt
Correct Answer

B. (6)

Step 1

Concept

(x-2-11x+30=(x-5)(x-6)). Therefore the other root is (6).

Step 2

Why this answer is correct

The correct answer is B. (6). (x-2-11x+30=(x-5)(x-6)). Therefore the other root is (6).

Step 3

Exam Tip

(x-2-11x+30=(x-5)(x-6)) है। इसलिए दूसरा मूल (6) है।

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समीकरण \(x^2=4x\) के मूल कौन से हैं?

What are the roots of \(x^2=4x\)?

Explanation opens after your attempt
Correct Answer

A. (0) और (4)(0) and (4)

Step 1

Concept

Write \(x^2=4x\) as \(x^2-4x=0\). Then (x(x-4)=0) gives roots (0) and (4).

Step 2

Why this answer is correct

The correct answer is A. (0) और (4) / (0) and (4). Write \(x^2=4x\) as \(x^2-4x=0\). Then (x(x-4)=0) gives roots (0) and (4).

Step 3

Exam Tip

\(x^2=4x\) को \(x^2-4x=0\) लिखें। फिर (x(x-4)=0) से मूल (0) और (4) मिलते हैं।

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समीकरण \(x^2+10x+21=0\) के मूल कौन से हैं?

What are the roots of \(x^2+10x+21=0\)?

Explanation opens after your attempt
Correct Answer

A. (-3) और (-7)(-3) and (-7)

Step 1

Concept

(x-2+10x+21=(x+3)(x+7)). Therefore the roots are (-3) and (-7).

Step 2

Why this answer is correct

The correct answer is A. (-3) और (-7) / (-3) and (-7). (x-2+10x+21=(x+3)(x+7)). Therefore the roots are (-3) and (-7).

Step 3

Exam Tip

(x-2+10x+21=(x+3)(x+7)) है। इसलिए मूल (-3) और (-7) हैं।

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समीकरण \(x^2-8x+15=0\) के मूल कौन से हैं?

What are the roots of \(x^2-8x+15=0\)?

Explanation opens after your attempt
Correct Answer

A. (3) और (5)(3) and (5)

Step 1

Concept

(x-2-8x+15=(x-3)(x-5)). Therefore the roots are (3) and (5).

Step 2

Why this answer is correct

The correct answer is A. (3) और (5) / (3) and (5). (x-2-8x+15=(x-3)(x-5)). Therefore the roots are (3) and (5).

Step 3

Exam Tip

(x-2-8x+15=(x-3)(x-5)) है। इसलिए मूल (3) और (5) हैं।

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समीकरण \(x^2-36=0\) के मूल कौन से हैं?

What are the roots of \(x^2-36=0\)?

Explanation opens after your attempt
Correct Answer

A. (6) और (-6)(6) and (-6)

Step 1

Concept

(x-2-36=(x-6)(x+6)). Therefore the roots are (6) and (-6).

Step 2

Why this answer is correct

The correct answer is A. (6) और (-6) / (6) and (-6). (x-2-36=(x-6)(x+6)). Therefore the roots are (6) and (-6).

Step 3

Exam Tip

(x-2-36=(x-6)(x+6)) है। इसलिए मूल (6) और (-6) हैं।

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समीकरण \(3x^2-10x+3=0\) के मूल कौन से हैं?

What are the roots of \(3x^2-10x+3=0\)?

Explanation opens after your attempt
Correct Answer

A. (3) और \(\frac{1}{3}\)(3) and \(\frac{1}{3}\)

Step 1

Concept

(3x-2-10x+3=(3x-1)(x-3)). Therefore the roots are \(\frac{1}{3}\) and (3).

Step 2

Why this answer is correct

The correct answer is A. (3) और \(\frac{1}{3}\) / (3) and \(\frac{1}{3}\). (3x-2-10x+3=(3x-1)(x-3)). Therefore the roots are \(\frac{1}{3}\) and (3).

Step 3

Exam Tip

(3x-2-10x+3=(3x-1)(x-3)) है। इसलिए मूल \(\frac{1}{3}\) और (3) हैं।

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समीकरण \(x^2-3x-10=0\) के मूल कौन से हैं?

What are the roots of \(x^2-3x-10=0\)?

Explanation opens after your attempt
Correct Answer

A. (5) और (-2)(5) and (-2)

Step 1

Concept

(x-2-3x-10=(x-5)(x+2)). Therefore the roots are (5) and (-2).

Step 2

Why this answer is correct

The correct answer is A. (5) और (-2) / (5) and (-2). (x-2-3x-10=(x-5)(x+2)). Therefore the roots are (5) and (-2).

Step 3

Exam Tip

(x-2-3x-10=(x-5)(x+2)) है। इसलिए मूल (5) और (-2) हैं।

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समीकरण \(x^2-5x+6=0\) के मूल कौन से हैं?

What are the roots of \(x^2-5x+6=0\)?

Explanation opens after your attempt
Correct Answer

A. (2) और (3)(2) and (3)

Step 1

Concept

(x-2-5x+6=(x-2)(x-3)). Therefore the roots are (2) and (3).

Step 2

Why this answer is correct

The correct answer is A. (2) और (3) / (2) and (3). (x-2-5x+6=(x-2)(x-3)). Therefore the roots are (2) and (3).

Step 3

Exam Tip

(x-2-5x+6=(x-2)(x-3)) है। इसलिए मूल (2) और (3) हैं।

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समीकरण \(2x^2-10x=0\) के मूल कौन से हैं?

What are the roots of \(2x^2-10x=0\)?

Explanation opens after your attempt
Correct Answer

A. (0) और (5)(0) and (5)

Step 1

Concept

(2x-2-10x=2x(x-5)). Therefore the roots are (0) and (5).

Step 2

Why this answer is correct

The correct answer is A. (0) और (5) / (0) and (5). (2x-2-10x=2x(x-5)). Therefore the roots are (0) and (5).

Step 3

Exam Tip

(2x-2-10x=2x(x-5)) है। इसलिए मूल (0) और (5) हैं।

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समीकरण \(x^2-9x+18=0\) का एक मूल (3) है तो दूसरा मूल क्या है?

If one root of \(x^2-9x+18=0\) is (3), what is the other root?

Explanation opens after your attempt
Correct Answer

B. (6)

Step 1

Concept

(x-2-9x+18=(x-3)(x-6)). Therefore the other root is (6).

Step 2

Why this answer is correct

The correct answer is B. (6). (x-2-9x+18=(x-3)(x-6)). Therefore the other root is (6).

Step 3

Exam Tip

(x-2-9x+18=(x-3)(x-6)) है। इसलिए दूसरा मूल (6) है।

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समीकरण \(x^2=9x\) के मूल कौन से हैं?

What are the roots of \(x^2=9x\)?

Explanation opens after your attempt
Correct Answer

A. (0) और (9)(0) and (9)

Step 1

Concept

Write \(x^2=9x\) as \(x^2-9x=0\). Then (x(x-9)=0) gives roots (0) and (9).

Step 2

Why this answer is correct

The correct answer is A. (0) और (9) / (0) and (9). Write \(x^2=9x\) as \(x^2-9x=0\). Then (x(x-9)=0) gives roots (0) and (9).

Step 3

Exam Tip

\(x^2=9x\) को \(x^2-9x=0\) लिखें। फिर (x(x-9)=0) से मूल (0) और (9) मिलते हैं।

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