Question
Download Solution PDFA, B के धनात्मक वर्गमूल के अनुक्रमानुपाती है, और C के घन के व्युत्क्रमानुपाती है। यदि A = 15 है, जब B = 27 और C = 2 है, तो B को ज्ञात कीजिए जब A = 9 और C = 2 है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
A सीधे B के धनात्मक वर्गमूल के अनुक्रमानुपाती है।
A = 15 है, जब B = 27 और C = 2 है।
प्रयुक्त अवधारणा:
यदि P ∝ Q और P ∝ R, तब P ∝ QR और P = H × QR; (यहाँ, H एक स्थिरांक है)
गणना:
प्रश्नानुसार,
A ∝
इसलिए, A ∝
⇒ A = k ×
अब समीकरण (1) में A = 15, B = 27 और C = 2 रखने पर,
A = k ×
⇒ 15 = k ×
⇒ k =
⇒ k =
अब जब A = 9 और C = 2 है,
A = k ×
⇒ 9 =
⇒
⇒ B/3 = 81/25
⇒ B = 243/25
∴ B का मान
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