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What is the relation among all three ratios in (5x+6y=32) and (15x+18y=96)?समीकरण (5x+6y=32) और (15x+18y=96) में तीनों अनुपातों का संबंध क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: All three ratios are equalतीनों अनुपात बराबर हैं
Here, a₁/a₂ = 5/15 = 1/3, b₁/b₂ = 6/18 = 1/3, and c₁/c₂ = 32/96 = 1/3. Hence, all three ratios are equal, so the two equations represent coincident lines and have infinitely many solutions. In an exam, compare a₁/a₂, b₁/b₂, and c₁/c₂ in that order for equations written as ax + by + c = 0.यहाँ a₁/a₂ = 5/15 = 1/3, b₁/b₂ = 6/18 = 1/3 और c₁/c₂ = 32/96 = 1/3 है। इसलिए तीनों अनुपात बराबर हैं और दोनों समीकरण संपाती रेखाओं को दर्शाते हैं; अतः इनके अनंत हल हैं। परीक्षा में ax + by + c = 0 के लिए पहले a₁/a₂, फिर b₁/b₂ और c₁/c₂ की तुलना अवश्य करें।
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