Question
Download Solution PDFयदि p, 8, 20 का तीसरा समानुपाती है और q, 3, 5, 24 का चौथा समानुपाती है, तो (2p + q) का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
p, 8, 20 का तीसरा समानुपाती है।
q, 3, 5, 24 का चौथा समानुपाती है।
प्रयुक्त अवधारणा:
यदि x, a, b का तीसरा समानुपाती है, तो x = b2/a
यदि x, a, b, c का चौथा समानुपाती है, तो a/b = c/x
गणना:
यहाँ, p = 202/8 = 400/8 = 50
साथ ही, 3/5 = 24/q
⇒ q = (5 × 24)/3 = 40
तो, (2p + q) = (2 × 50) + 40 = 100 + 40 = 140
∴ (2p + q) का मान 140 है।
Last updated on Jul 14, 2025
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