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If \(x=0\) is a root of the equation \(ax^2+bx+c=0\), where \(a\ne0\), which statement about \(c\) is correct?यदि \(x=0\) समीकरण \(ax^2+bx+c=0\) (जहाँ \(a\ne0\)) का एक मूल है, तो \(c\) के बारे में कौन-सा कथन सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(c=0\)\(c=0\)
Since \(x=0\) is a root, substitute \(x=0\) into \(ax^2+bx+c=0\): \(a(0)^2+b(0)+c=0\Rightarrow c=0\).चूँकि \(x=0\) एक मूल है, इसलिए \(x=0\) को \(ax^2+bx+c=0\) में रखें: \(a(0)^2+b(0)+c=0\Rightarrow c=0\)।
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