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Which condition is necessary for the expression \(ax^2+bx+c\) to be called a quadratic expression in \(x\)?व्यंजक \(ax^2+bx+c\) को \(x\) का द्विघात व्यंजक कहलाने के लिए कौन-सी शर्त आवश्यक है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(a\ne0\)\(a\ne0\)
A quadratic expression must have 2 as the highest power of \(x\), so the coefficient \(a\) of \(x^2\) cannot be zero. For example, \(3x^2-5x+1\) is quadratic. Both \(b\) and \(c\) may be zero. Exam tip: check the non-zero coefficient of the highest power first.द्विघात व्यंजक में \(x\) की सबसे बड़ी घात 2 होनी चाहिए, इसलिए \(x^2\) का गुणांक \(a\) शून्य नहीं हो सकता। उदाहरणतः \(3x^2-5x+1\) द्विघात है। \(b\) या \(c\) शून्य हो सकते हैं। परीक्षा में पहले उच्चतम घात का गैर-शून्य गुणांक जाँचें।
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