Question

अगर दिए गए रेखीय समीकरणों के युग्म cx – y = 2 और 6x – 2y = 4 के अनंत अनेक हल हो तो c का मूल्य पता करें। *
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Answer 1

$Given \: pair \: of \: linear \: equations : \\cx - y -2 = 0 \: and \: 6x - 2y - 4 = 0$

$Compare \: above \: equations \: with \\a_{1}x + b_{1}y + c_{1} = 0 \: and \\\\a_{2}x + b_{2}y + c_{2} = 0 , we \: get$

$a_{1} = c , b_{1} = -1 , c_{1} = -2 \: and \\</p><p></p><p>a_{2} = 6 , b_{2} = -2 , c_{2} = -4$

$\blue{\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}} }$

$\pink{ (Given \: pair \: have \: infinitely }\\\pink{ many \: solutions ) }$

$\implies \frac{c}{6} = \frac{-1}{-2}$

$\implies c = \frac{1}{2} \times 6$

$\implies c = 3$

Therefore.,

$\red{ Value \: of \: c }\green { = 3 }$

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Answer 2

Answer:

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