Concept-wise Practice

dependent MCQ Questions for Class 10

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

Practice Questions

2 questions tagged with dependent.

समीकरण (5x+by=20) और (10x+6y=40) के अनंत हल होने के लिए (b) का मान क्या है?

What is the value of (b) for (5x+by=20) and (10x+6y=40) to have infinitely many solutions?

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Correct Answer

B. (3)

Step 1

Concept

For infinitely many solutions (5/10=b/6=20/40) must hold. Therefore (b=3).

Step 2

Why this answer is correct

The correct answer is B. (3). For infinitely many solutions (5/10=b/6=20/40) must hold. Therefore (b=3).

Step 3

Exam Tip

अनंत हल के लिए (5/10=b/6=20/40) होना चाहिए। इसलिए (b=3) है।

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समीकरणों (4x+6y=30) और (6x+9y=45) के हलों के बारे में सही कथन चुनिए।

Choose the correct statement about the solutions of (4x+6y=30) and (6x+9y=45).

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Correct Answer

C. अनंत अनेक हलInfinitely many solutions

Step 1

Concept

The second equation is \(\frac{3}{2}\) times the first, so both represent the same line. In exams, if all ratios are equal, there are infinitely many solutions.

Step 2

Why this answer is correct

The correct answer is C. अनंत अनेक हल / Infinitely many solutions. The second equation is \(\frac{3}{2}\) times the first, so both represent the same line. In exams, if all ratios are equal, there are infinitely many solutions.

Step 3

Exam Tip

दूसरा समीकरण पहले का \(\frac{3}{2}\) गुना है, इसलिए दोनों समान रेखा दर्शाते हैं। परीक्षा में सभी अनुपात बराबर हों तो अनंत हल होते हैं।

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