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Which condition is essential for an expression in the standard form \(ax^2+bx+c\) to be quadratic?मानक रूप \(ax^2+bx+c\) वाले द्विघात व्यंजक के लिए कौन-सी शर्त अनिवार्य है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(a \ne 0\)\(a \ne 0\)
For an expression to be quadratic, the coefficient of \(x^2\) must be non-zero; hence \(a\ne0\). The coefficients \(b\) and \(c\) may be zero, as in \(3x^2+5\). Exam tip: check the highest non-zero power of the variable.द्विघात व्यंजक में \(x^2\) का गुणांक शून्य नहीं होना चाहिए, इसलिए \(a\ne0\) आवश्यक है। \(b\) या \(c\) शून्य हो सकते हैं; जैसे \(3x^2+5\) फिर भी द्विघात है। परीक्षा टिप: उच्चतम घात जाँचें।
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