Concept-wise Practice

division-by-variable MCQ Questions for Class 10

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Practice Questions

4 questions tagged with division-by-variable.

Question 1/4 Medium Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 34

किस समीकरण को पहले (x) से भाग करना सुरक्षित नहीं है?

For which equation is it not safe to divide by (x) first?

Explanation opens after your attempt
Correct Answer

A. \(x^2-8x=0\)

Step 1

Concept

In \(x^2-8x=0\), (x) is a common factor and (x=0) can be a root. In exams, write (x(x-8)=0) in such cases.

Step 2

Why this answer is correct

The correct answer is A. \(x^2-8x=0\). In \(x^2-8x=0\), (x) is a common factor and (x=0) can be a root. In exams, write (x(x-8)=0) in such cases.

Step 3

Exam Tip

\(x^2-8x=0\) में (x) सामान्य गुणनखंड है और (x=0) मूल हो सकता है। परीक्षा में ऐसे मामलों में (x(x-8)=0) लिखें।

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Question 2/4 Easy Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 36

यदि \(x^2-11x=0\) को (x) से भाग देकर केवल (x-11=0) लिखा जाए, तो कौनसा मूल छूटेगा?

If \(x^2-11x=0\) is divided by (x) and only (x-11=0) is written, which root is missed?

Explanation opens after your attempt
Correct Answer

A. (x=0)

Step 1

Concept

Dividing by (x) misses the root (x=0). In exams, writing the factor form first is safer.

Step 2

Why this answer is correct

The correct answer is A. (x=0). Dividing by (x) misses the root (x=0). In exams, writing the factor form first is safer.

Step 3

Exam Tip

(x) से भाग देने पर (x=0) वाला मूल छूट जाता है। परीक्षा में पहले गुणनखंड रूप लिखना सुरक्षित है।

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Question 3/4 Easy Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 35

यदि \(x^2-5x=0\) को (x) से भाग देकर केवल (x-5=0) लिखा जाए, तो कौनसा मूल छूटेगा?

If \(x^2-5x=0\) is divided by (x) and only (x-5=0) is written, which root is missed?

Explanation opens after your attempt
Correct Answer

A. (x=0)

Step 1

Concept

Dividing by (x) misses the root (x=0). In exams, writing the factor form first is safer.

Step 2

Why this answer is correct

The correct answer is A. (x=0). Dividing by (x) misses the root (x=0). In exams, writing the factor form first is safer.

Step 3

Exam Tip

(x) से भाग देने पर (x=0) वाला मूल छूट जाता है। परीक्षा में पहले गुणनखंड रूप लिखना सुरक्षित है।

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Question 4/4 Easy Mathematics Quadratic Equations Methods of Solving Quadratic Equations Class 10 Level 34

यदि \(x^2-3x=0\) को (x) से भाग देकर (x-3=0) लिखा जाए, तो कौनसा मूल छूट जाएगा?

If \(x^2-3x=0\) is divided by (x) to write (x-3=0), which root is missed?

Explanation opens after your attempt
Correct Answer

A. (x=0)

Step 1

Concept

Dividing by (x) misses the root (x=0). In exams, it is safer to write (x(x-3)=0) first.

Step 2

Why this answer is correct

The correct answer is A. (x=0). Dividing by (x) misses the root (x=0). In exams, it is safer to write (x(x-3)=0) first.

Step 3

Exam Tip

(x) से भाग देने पर (x=0) वाला मूल छूट जाता है। परीक्षा में पहले (x(x-3)=0) लिखना सुरक्षित है।

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