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For which value of \(k\) will the expression \((k^2-9)x^2+(k-3)x+1\) be a linear expression in \(x\)?किस मान के लिए व्यंजक \((k^2-9)x^2+(k-3)x+1\), \(x\) का रैखिक व्यंजक होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: -3-3
For \(k=-3\), the coefficient of \(x^2\) becomes \(k^2-9=0\), while the coefficient of \(x\) is \(-6\). Hence the expression is linear. Exam tip: for a linear expression, the \(x^2\) coefficient must be zero but the \(x\) coefficient must be non-zero.\(k=-3\) रखने पर \(x^2\) का गुणांक \(k^2-9=0\) हो जाता है, जबकि \(x\) का गुणांक \(-6\) रहता है। इसलिए व्यंजक रैखिक है। परीक्षा टिप: रैखिक होने के लिए \(x^2\) का गुणांक शून्य और \(x\) का गुणांक अशून्य होना चाहिए।
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