Question
Download Solution PDFदी गई संख्याओं के व्युत्क्रमों के योग का व्युत्क्रम ज्ञात कीजिए।
\(\frac{2}{5}, \frac{5}{4}, \frac{6}{8}, \frac{6}{5}, \frac{9}{6}\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया:
\(\frac{2}{5}, \frac{5}{4}, \frac{6}{8}, \frac{6}{5}, \frac{9}{6}\)
प्रयुक्त सूत्र:
दी गई संख्याओं के व्युत्क्रमों के योग का व्युत्क्रम:
गणना:
पारस्परिक: 5/2, 4/5, 8/6, 5/6, 6/9
व्युत्क्रम का योग = 5/2 + 4/5 + 8/6 + 5/6 + 6/9
⇒ योग = 5/2 + 4/5 + 4/3 + 5/6 + 2/3
⇒ योग = 75/30 + 24/30 + 40/30 + 25/30 + 20/30
⇒ योग = (75 + 24 + 40 + 25 + 20)/30
⇒ योग = 184/30 = 92/15
अतः योग का व्युत्क्रम = 1/(92/15) = 15/92
∴ सही उत्तर विकल्प (2) है।
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