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If (G(t)=180-rt) and (G(4)=G(12)+72), what is (r)?यदि (G(t)=180-rt) और (G(4)=G(12)+72), तो (r) क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 99
Given \(G(4)=G(12)+72\), we have \(G(4)-G(12)=72\). Now, \(G(4)=180-4r\) and \(G(12)=180-12r\), so their difference is \(8r\). Thus, \(8r=72\), which gives \(r=9\). If \(r=8\), the difference would be only 64, so it is not correct. Exam tip: Taking the difference of a linear function at two times cancels the constant term \(180\).दिया है कि \(G(4)=G(12)+72\), अर्थात \(G(4)-G(12)=72\)। अब \(G(4)=180-4r\) और \(G(12)=180-12r\) रखने पर अंतर \(8r\) मिलता है। इसलिए \(8r=72\), अतः \(r=9\)। विकल्प 8 लेने पर अंतर केवल 64 होगा, इसलिए वह सही नहीं है। परीक्षा टिप: दो समयों पर रैखिक फलन का अंतर लेने से स्थिर पद \(180\) कट जाता है।
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