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If (x+y=9) and (xy=14), what is the value of (2(x+y)+3xy)?यदि (x+y=9) और (xy=14), तो (2(x+y)+3xy) का मान क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 6060
Given \(x+y=9\) and \(xy=14\), substitute these values directly: \(2(x+y)+3xy=2(9)+3(14)=18+42=60\). Therefore, option C is correct. \(42\) is only the value of \(3xy\); the term \(2(x+y)\) must also be added. Exam tip: When \(x+y\) and \(xy\) are given directly, substitute them into the expression without finding \(x\) and \(y\) separately.दिया है कि \(x+y=9\) और \(xy=14\)। अतः \(2(x+y)+3xy=2(9)+3(14)=18+42=60\)। इसलिए सही विकल्प C है। \(42\) केवल \(3xy\) का मान है; इसमें \(2(x+y)\) भी जोड़ना आवश्यक है। परीक्षा टिप: जब \(x+y\) और \(xy\) सीधे दिए हों, तो उन्हें अलग-अलग \(x\) और \(y\) ज्ञात किए बिना व्यंजक में प्रतिस्थापित करें।
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