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If (Y(x)=a+6x) is linear growth and (Y(3)+Y(7)=124), what is (a)?यदि (Y(x)=a+6x) रेखीय वृद्धि है और (Y(3)+Y(7)=124), तो (a) क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 3232
Given \(Y(x)=a+6x\), we get \(Y(3)=a+18\) and \(Y(7)=a+42\). Hence, \(Y(3)+Y(7)=2a+60=124\). Therefore, \(2a=64\), so \(a=32\). If 30 were used, the sum would be \(120\), not 124. Exam tip: Substitute each given \(x\)-value into the function separately before adding.दिया है कि \(Y(x)=a+6x\)। अतः \(Y(3)=a+18\) और \(Y(7)=a+42\)। इसलिए \(Y(3)+Y(7)=2a+60=124\)। इससे \(2a=64\), अतः \(a=32\)। विकल्प 30 लेने पर योग \(120\) आता, जो 124 नहीं है। परीक्षा टिप: ऐसे प्रश्नों में पहले दिए गए दोनों \(x\)-मानों को फलन में अलग-अलग रखकर जोड़ें।
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