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Question Easy Mathematics Pair of Linear Equations in Two Variables Conditions for solvability Class 10 Level 58

समीकरण (2x-3y=4) और (4x-6y=8) में कौन-सा संबंध है?

What relationship exists between (2x-3y=4) and (4x-6y=8)?

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Correct Answer

A. दूसरा पहले का (2) गुना हैThe second is (2) times the first

Step 1

Concept

All terms of the second equation are (2) times the first. Hence, both are the same line and have infinitely many solutions.

Step 2

Why this answer is correct

The correct answer is A. दूसरा पहले का (2) गुना है / The second is (2) times the first. All terms of the second equation are (2) times the first. Hence, both are the same line and have infinitely many solutions.

Step 3

Exam Tip

दूसरे समीकरण के सभी पद पहले के (2) गुना हैं। इसलिए दोनों एक ही रेखा हैं और अनंत हल हैं।

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Class: Class 10
Subject: Mathematics
Chapter: Pair of Linear Equations in Two Variables
Topic: Conditions for solvability
Difficulty: Easy
Level: 58

Question Hindi:
समीकरण (2x-3y=4) और (4x-6y=8) में कौन-सा संबंध है?

Question English:
What relationship exists between (2x-3y=4) and (4x-6y=8)?

Options:
A. दूसरा पहले का (2) गुना है / The second is (2) times the first
B. दूसरा पहले का (3) गुना है / The second is (3) times the first
C. वे समानांतर अलग हैं / They are distinct parallel
D. वे कटती हैं / They intersect

Correct Answer:
A. दूसरा पहले का (2) गुना है / The second is (2) times the first

Explanation Hindi:
दूसरे समीकरण के सभी पद पहले के (2) गुना हैं। इसलिए दोनों एक ही रेखा हैं और अनंत हल हैं।

Explanation English:
All terms of the second equation are (2) times the first. Hence, both are the same line and have infinitely many solutions.

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समीकरण (2x-3y=4) और (4x-6y=8) में कौन-सा संबंध है?

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