Which of the following pair of linear equations has infinitely many solutions? x+y=1, 2x+2y=2

A pair of linear equations has infinitely many solutions when a₁/a₂ = b₁/b₂ = c₁/c₂. For x+y=1 and 2x+2y=2: 1/2 = 1/2 = 1/2. The second equation is just double the first — they represent the same line. When two equations represent the same line, every point on that line is a solution.

Which of the following pair of linear equations has infinitely many solutions? x+y=1, 2x+2y=2

The correct answer is B. A pair of linear equations has infinitely many solutions when a₁/a₂ = b₁/b₂ = c₁/c₂. For x+y=1 and 2x+2y=2: 1/2 = 1/2 = 1/2. The second equation is just double the first — they represent the same line. When two equations represent the same line, every point on that line is a solution.

निम्नलिखित में से कौन सी रैखिक समीकरण युग्म के अनंत हल हैं? x+y=1, 2x+2y=2

उत्तर: (B) x+y=1, 2x+2y=2 — रैखिक समीकरण युग्म के अनंत हल तब होते हैं जब a₁/a₂ = b₁/b₂ = c₁/c₂। x+y=1 और 2x+2y=2 के लिए: 1/2 = 1/2 = 1/2। दूसरा समीकरण पहले का दोगुना है — दोनों एक ही रेखा को दर्शाते हैं। जब दो समीकरण एक ही रेखा ...

2025Level 2Medium

Mathematics → Linear Equations

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निम्नलिखित में से कौन सी रैखिक समीकरण युग्म के अनंत हल हैं? x+y=1, 2x+2y=2

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