Question
Download Solution PDFఇచ్చిన క్రమంలో K + 3, k + 2, 3k - 7, 2k - 3 లు అనుపాతంలో ఉంటే, నాల్గవ అనుపాతం యొక్క కనిష్ట విలువ ఏమిటి?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చినవి
K + 3, k + 2, 3k - 7, 2k - 3
గణన
⇒ K + 3/k + 2 = 3k - 7/2k - 3
⇒ (K + 3)(2k - 3) = (k + 2)(3k - 7)
⇒ 2k2 - 3k + 6k -9 = 3k2 - 7k + 6k - 14
⇒ k2 - 4k - 5 = 0
⇒ (K + 1)(k - 5)
⇒ (K + 1) = 0 or (k - 5) = 0
⇒ k = -1 or K = 5
కనిష్ట విలువ అడిగినందున k = -1 అని పరిగణిస్తాము
నాల్గవ అనుపాతం = 2k - 3 = -2 - 3 = -5
సమాధానం -5.
Last updated on Jun 26, 2025
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