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In (x^2+kx+16), if the coefficient of (x) is (12), what is the value of (k-5)?(x^2+kx+16) में यदि (x) का गुणांक (12) है, तो (k-5) का मान क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(7\)\(7\)
In \(x^2+kx+16\), the term containing \(x\) is \(kx\). The coefficient of \(x\) in this term is \(k\). Since the coefficient of \(x\) is given as \(12\), \(k=12\). Therefore, \(k-5=12-5=7\). Option \(12\) is the value of \(k\), not of \(k-5\). Exam tip: identify the factor multiplying the variable to find its coefficient.व्यंजक \(x^2+kx+16\) में \(x\) वाला पद \(kx\) है। इस पद में \(x\) का गुणांक \(k\) होता है। दिया है कि \(x\) का गुणांक \(12\) है, इसलिए \(k=12\)। अतः \(k-5=12-5=7\)। \(12\) विकल्प \(k\) का मान है, \(k-5\) का नहीं। परीक्षा टिप: गुणांक ज्ञात करते समय चर के साथ गुणा हो रहे भाग को पहचानें।
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