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If (Y(x)=a+5x) is linear growth and (Y(2)+Y(6)=86), what is (a)?यदि (Y(x)=a+5x) रेखीय वृद्धि है और (Y(2)+Y(6)=86), तो (a) क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 2323
Given \(Y(x)=a+5x\), we get \(Y(2)=a+10\) and \(Y(6)=a+30\). Therefore, \(Y(2)+Y(6)=2a+40=86\). Hence \(2a=46\), so \(a=23\). For example, choosing 28 would give a sum of 96, not 86. Exam tip: Substitute each given \(x\)-value into the function separately before adding.दिया है कि \(Y(x)=a+5x\)। अतः \(Y(2)=a+10\) और \(Y(6)=a+30\) होगा। इसलिए \(Y(2)+Y(6)=2a+40=86\)। इससे \(2a=46\), अतः \(a=23\)। विकल्प 28 लेने पर योग \(96\) आता है, 86 नहीं। परीक्षा टिप: ऐसे प्रश्नों में पहले दिए गए प्रत्येक \(x\)-मान को फलन में अलग-अलग रखकर जोड़ें।
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