Question
Download Solution PDFABCD एक वर्गाकार मैदान है जिसमें AB = x है। इस वर्गाकार मैदान के केंद्र O पर 2x ऊँचाई का एक ऊर्ध्वाधर खंभा OP खड़ा है। यदि ∠APO = θ, तो cot θ किसके बराबर है ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
AB = x
∠APO = θ
प्रयुक्त अवधारणा:
वर्ग का विकर्ण = √2a
cotθ = आधार/लंब
गणना:
उपरोक्त अवधारणा के अनुसार,
वर्ग का विकर्ण = √2a
⇒ AC = x√2
⇒ OA =
अब, उपरोक्त आकृति के अनुसार,
ΔOAP में,
⇒ cotθ =
⇒ cotθ = 2√2
∴ Cotθ का अभीष्ट मान 2√2 है।
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